diff --git a/Applications/ApplicationsLib/ProjectData.cpp b/Applications/ApplicationsLib/ProjectData.cpp
index de1917a035adebcb96819811c3c5769b99ef94b5..d5349c55aca85d1b4dd98b3c1d8d030d4f1ed6e0 100644
--- a/Applications/ApplicationsLib/ProjectData.cpp
+++ b/Applications/ApplicationsLib/ProjectData.cpp
@@ -780,7 +780,7 @@ void ProjectData::parseProcesses(BaseLib::ConfigTree const& processes_config,
                             name, *_mesh_vec[0], std::move(jacobian_assembler),
                             _process_variables, _parameters,
                             _local_coordinate_system, integration_order,
-                            process_config);
+                            process_config, _media);
                     break;
                 case 3:
                     process = ProcessLib::ThermoHydroMechanics::
@@ -788,7 +788,7 @@ void ProjectData::parseProcesses(BaseLib::ConfigTree const& processes_config,
                             name, *_mesh_vec[0], std::move(jacobian_assembler),
                             _process_variables, _parameters,
                             _local_coordinate_system, integration_order,
-                            process_config);
+                            process_config, _media);
                     break;
                 default:
                     OGS_FATAL(
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_biot_coefficient.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_biot_coefficient.md
deleted file mode 100644
index 2db4bbf026703aea93279258976457595f09ae97..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_biot_coefficient.md
+++ /dev/null
@@ -1 +0,0 @@
-Biot coefficient.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_density.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_density.md
deleted file mode 100644
index 722affa8a460db56881b8daeb0831cea20f5ac62..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_density.md
+++ /dev/null
@@ -1 +0,0 @@
-\copydoc ProcessLib::ThermoHydroMechanics::ThermoHydroMechanicsProcessData::fluid_density
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_specific_heat_capacity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_specific_heat_capacity.md
deleted file mode 100644
index 024bf06abff1e70b276717295a6360e4cbb3ace1..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_specific_heat_capacity.md
+++ /dev/null
@@ -1 +0,0 @@
-Fluid specific heat capacity is the heat capacity per unit mass of the fluid.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_thermal_conductivity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_thermal_conductivity.md
deleted file mode 100644
index 75fd9758ed5dcaf750ef28a4568f5f1e09203711..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_thermal_conductivity.md
+++ /dev/null
@@ -1 +0,0 @@
-Fluid thermal conductivity, the property of fluid to conduct heat.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_viscosity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_viscosity.md
deleted file mode 100644
index f49c37cdbfa92dc9d521c138d352ae4508d33a0a..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_viscosity.md
+++ /dev/null
@@ -1 +0,0 @@
-\copydoc ProcessLib::ThermoHydroMechanics::ThermoHydroMechanicsProcessData::fluid_viscosity
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_volumetric_thermal_expansion_coefficient.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_volumetric_thermal_expansion_coefficient.md
deleted file mode 100644
index 440f6d0f3143fb2b63caa68149439a5a50675d75..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_fluid_volumetric_thermal_expansion_coefficient.md
+++ /dev/null
@@ -1 +0,0 @@
-Volumetric thermal expansion coefficient of fluid.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_intrinsic_permeability.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_intrinsic_permeability.md
deleted file mode 100644
index 9559792cd8011dfa8aa950a1d8ffa12ec0d02c9d..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_intrinsic_permeability.md
+++ /dev/null
@@ -1 +0,0 @@
-Permeability of porous medium.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_porosity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_porosity.md
deleted file mode 100644
index 418fdcc6bc1a649c41c87583b5d458aff39537a8..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_porosity.md
+++ /dev/null
@@ -1 +0,0 @@
-Porosity of porous medium.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_density.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_density.md
deleted file mode 100644
index 197239040b301996ba1eb512365643e2e2880a76..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_density.md
+++ /dev/null
@@ -1 +0,0 @@
-Solid density.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_linear_thermal_expansion_coefficient.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_linear_thermal_expansion_coefficient.md
deleted file mode 100644
index 38eaff68a74714b0e6f9f31ad19aceb4cae7ba0f..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_linear_thermal_expansion_coefficient.md
+++ /dev/null
@@ -1 +0,0 @@
-Solid linear expansion in one dimension.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_specific_heat_capacity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_specific_heat_capacity.md
deleted file mode 100644
index 1696adff39dc64b2f079078467745b99684bd5aa..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_specific_heat_capacity.md
+++ /dev/null
@@ -1 +0,0 @@
-Specific heat capacity, the heat capacity per unit mass of a material.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_thermal_conductivity.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_thermal_conductivity.md
deleted file mode 100644
index 0d0a26a12127fe7b1ea36565ba9f373e9e0788b2..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_solid_thermal_conductivity.md
+++ /dev/null
@@ -1 +0,0 @@
-Solid thermal conductivity, the property of solid to conduct heat.
diff --git a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_specific_storage.md b/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_specific_storage.md
deleted file mode 100644
index af55c27a7ae0e332abf290dd82c7621c91c6603b..0000000000000000000000000000000000000000
--- a/Documentation/ProjectFile/prj/processes/process/THERMO_HYDRO_MECHANICS/t_specific_storage.md
+++ /dev/null
@@ -1 +0,0 @@
-Volumetric average specific storage of porous medium and fluid phases.
diff --git a/MaterialLib/MPL/Components/GetThermalExpansivity.cpp b/MaterialLib/MPL/Components/GetThermalExpansivity.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..38aa9ddb5a4a221aac19ec1fe7cf01cedc6c8f82
--- /dev/null
+++ b/MaterialLib/MPL/Components/GetThermalExpansivity.cpp
@@ -0,0 +1,43 @@
+/**
+ * \file
+ *
+ * \copyright
+ * Copyright (c) 2012-2019, OpenGeoSys Community (http://www.opengeosys.org)
+ *            Distributed under a Modified BSD License.
+ *              See accompanying file LICENSE.txt or
+ *              http://www.opengeosys.org/project/license
+ *
+ *
+ * Created on August 16, 2019, 3:40 PM
+ */
+
+#include "GetThermalExpansivity.h"
+
+#include "MaterialLib/MPL/Phase.h"
+
+namespace MaterialPropertyLib
+{
+class Phase;
+
+double getThermalExpansivity(Phase const& phase,
+                             VariableArray const& vars,
+                             const double density)
+{
+    auto const thermal_expansivity_ptr =
+        &phase.property(MaterialPropertyLib::PropertyType::thermal_expansivity);
+
+    // The thermal expansivity is explicitly given in the project file.
+    if (thermal_expansivity_ptr)
+    {
+        return (*thermal_expansivity_ptr).template value<double>(vars);
+    }
+
+    // The thermal expansivity calculated by the density model directly.
+    return (density == 0.0)
+               ? 0.0
+               : -phase.property(MaterialPropertyLib::PropertyType::density)
+                         .template dValue<double>(
+                             vars, MaterialPropertyLib::Variable::temperature) /
+                     density;
+}
+}  // namespace MaterialPropertyLib
diff --git a/MaterialLib/MPL/Components/GetThermalExpansivity.h b/MaterialLib/MPL/Components/GetThermalExpansivity.h
new file mode 100644
index 0000000000000000000000000000000000000000..45ce3c11ae9a1102d803de543968923e4e999857
--- /dev/null
+++ b/MaterialLib/MPL/Components/GetThermalExpansivity.h
@@ -0,0 +1,44 @@
+/**
+ * \file
+ *
+ * \copyright
+ * Copyright (c) 2012-2019, OpenGeoSys Community (http://www.opengeosys.org)
+ *            Distributed under a Modified BSD License.
+ *              See accompanying file LICENSE.txt or
+ *              http://www.opengeosys.org/project/license
+ *
+ *
+ * Created on August 16, 2019, 3:40 PM
+ */
+
+#pragma once
+
+#include "MaterialLib/MPL/VariableType.h"  // for VariableArray
+
+namespace MaterialPropertyLib
+{
+class Phase;
+
+/**
+ * It gets the thermal expansion coefficient.
+ *
+ * If the the thermal expansion coefficient is given in the project file via
+ * the media property of thermal_expansivity, e.g
+ * \verbatim
+ *     <property>
+ *       <name>thermal_expansivity</name>
+ *       <type>Constant</type>
+ *       <value>2.07e-4</value>
+ *     </property>
+ * \endverbatim
+ * it returns the value of the given property. Otherwise it returns the value
+ * computed from the density model by the following formula
+ * \f[
+ *      (\frac{\partial \rho}{\partial T})/\rho
+ * \f]
+ * where \f$\rho\f$ is the density, \f$T\f$ is the temperature.
+ */
+double getThermalExpansivity(Phase const& phase,
+                             VariableArray const& vars,
+                             const double density);
+}  // namespace MaterialPropertyLib
diff --git a/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.cpp b/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.cpp
index 443f72b20c600a1308a33d293cc89730366a97ac..ddd4c8a8d29db681e967e37e0081eada6e5b0afc 100644
--- a/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.cpp
+++ b/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.cpp
@@ -12,6 +12,9 @@
 
 #include <cassert>
 
+#include "MaterialLib/MPL/CreateMaterialSpatialDistributionMap.h"
+#include "MaterialLib/MPL/MaterialSpatialDistributionMap.h"
+
 #include "MaterialLib/SolidModels/CreateConstitutiveRelation.h"
 #include "MaterialLib/SolidModels/MechanicsBase.h"
 #include "ParameterLib/Utils.h"
@@ -27,15 +30,14 @@ namespace ThermoHydroMechanics
 {
 template <int DisplacementDim>
 std::unique_ptr<Process> createThermoHydroMechanicsProcess(
-    std::string name,
-    MeshLib::Mesh& mesh,
+    std::string name, MeshLib::Mesh& mesh,
     std::unique_ptr<ProcessLib::AbstractJacobianAssembler>&& jacobian_assembler,
     std::vector<ProcessVariable> const& variables,
     std::vector<std::unique_ptr<ParameterLib::ParameterBase>> const& parameters,
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
-    unsigned const integration_order,
-    BaseLib::ConfigTree const& config)
+    unsigned const integration_order, BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media)
 {
     //! \ogs_file_param{prj__processes__process__type}
     config.checkConfigParameter("type", "THERMO_HYDRO_MECHANICS");
@@ -126,115 +128,6 @@ std::unique_ptr<Process> createThermoHydroMechanicsProcess(
         MaterialLib::Solids::createConstitutiveRelations<DisplacementDim>(
             parameters, local_coordinate_system, config);
 
-    // Intrinsic permeability (only one scalar per element, i.e. the isotropic
-    // case is handled at the moment)
-    auto& intrinsic_permeability = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__intrinsic_permeability}
-        "intrinsic_permeability", parameters, 1, &mesh);
-
-    DBUG("Use '%s' as intrinsic conductivity parameter.",
-         intrinsic_permeability.name.c_str());
-
-    // Storage coefficient
-    auto& specific_storage = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__specific_storage}
-        "specific_storage", parameters, 1, &mesh);
-
-    DBUG("Use '%s' as storage coefficient parameter.",
-         specific_storage.name.c_str());
-
-    // Fluid viscosity
-    auto& fluid_viscosity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__fluid_viscosity}
-        "fluid_viscosity", parameters, 1, &mesh);
-    DBUG("Use '%s' as fluid viscosity parameter.",
-         fluid_viscosity.name.c_str());
-
-    // Fluid density
-    auto& fluid_density = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__fluid_density}
-        "fluid_density", parameters, 1, &mesh);
-    DBUG("Use '%s' as fluid density parameter.", fluid_density.name.c_str());
-
-    // Biot coefficient
-    auto& biot_coefficient = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__biot_coefficient}
-        "biot_coefficient", parameters, 1, &mesh);
-    DBUG("Use '%s' as Biot coefficient parameter.",
-         biot_coefficient.name.c_str());
-
-    // Porosity
-    auto& porosity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__porosity}
-        "porosity", parameters, 1, &mesh);
-    DBUG("Use '%s' as porosity parameter.", porosity.name.c_str());
-
-    // Solid density
-    auto& solid_density = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__solid_density}
-        "solid_density", parameters, 1, &mesh);
-    DBUG("Use '%s' as solid density parameter.", solid_density.name.c_str());
-
-    // linear thermal expansion coefficient for solid
-    auto const& solid_linear_thermal_expansion_coefficient =
-        ParameterLib::findParameter<double>(
-            config,
-            //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__solid_linear_thermal_expansion_coefficient}
-            "solid_linear_thermal_expansion_coefficient", parameters, 1, &mesh);
-    DBUG("Use '%s' as solid linear thermal expansion coefficient parameter.",
-         solid_linear_thermal_expansion_coefficient.name.c_str());
-
-    // volumetric thermal expansion coefficient for fluid
-    auto const& fluid_volumetric_thermal_expansion_coefficient =
-        ParameterLib::findParameter<double>(
-            config,
-            //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__fluid_volumetric_thermal_expansion_coefficient}
-            "fluid_volumetric_thermal_expansion_coefficient", parameters, 1,
-            &mesh);
-    DBUG(
-        "Use '%s' as fluid volumetric thermal expansion coefficient "
-        "parameter.",
-        fluid_volumetric_thermal_expansion_coefficient.name.c_str());
-
-    // specific heat capacity for solid
-    auto& solid_specific_heat_capacity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__solid_specific_heat_capacity}
-        "solid_specific_heat_capacity", parameters, 1, &mesh);
-    DBUG("Use '%s' as solid specific heat capacity parameter.",
-         solid_specific_heat_capacity.name.c_str());
-
-    // specific heat capacity for fluid
-    auto& fluid_specific_heat_capacity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__fluid_specific_heat_capacity}
-        "fluid_specific_heat_capacity", parameters, 1, &mesh);
-    DBUG("Use '%s' as fluid specific heat capacity parameter.",
-         fluid_specific_heat_capacity.name.c_str());
-
-    // thermal conductivity for solid // currently only considers isotropic
-    auto& solid_thermal_conductivity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__solid_thermal_conductivity}
-        "solid_thermal_conductivity", parameters, 1, &mesh);
-    DBUG("Use '%s' as solid thermal conductivity parameter.",
-         solid_thermal_conductivity.name.c_str());
-
-    // thermal conductivity for fluid // currently only considers isotropic
-    auto& fluid_thermal_conductivity = ParameterLib::findParameter<double>(
-        config,
-        //! \ogs_file_param_special{prj__processes__process__THERMO_HYDRO_MECHANICS__fluid_thermal_conductivity}
-        "fluid_thermal_conductivity", parameters, 1, &mesh);
-    DBUG("Use '%s' as fluid thermal conductivity parameter.",
-         fluid_thermal_conductivity.name.c_str());
-
     // reference temperature
     auto& reference_temperature = ParameterLib::findParameter<double>(
         config,
@@ -262,22 +155,13 @@ std::unique_ptr<Process> createThermoHydroMechanicsProcess(
         std::copy_n(b.data(), b.size(), specific_body_force.data());
     }
 
+    auto media_map =
+        MaterialPropertyLib::createMaterialSpatialDistributionMap(media, mesh);
+
     ThermoHydroMechanicsProcessData<DisplacementDim> process_data{
         materialIDs(mesh),
+        std::move(media_map),
         std::move(solid_constitutive_relations),
-        intrinsic_permeability,
-        specific_storage,
-        fluid_viscosity,
-        fluid_density,
-        biot_coefficient,
-        porosity,
-        solid_density,
-        solid_linear_thermal_expansion_coefficient,
-        fluid_volumetric_thermal_expansion_coefficient,
-        solid_specific_heat_capacity,
-        fluid_specific_heat_capacity,
-        solid_thermal_conductivity,
-        fluid_thermal_conductivity,
         reference_temperature,
         specific_body_force};
 
@@ -305,7 +189,8 @@ template std::unique_ptr<Process> createThermoHydroMechanicsProcess<2>(
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
     unsigned const integration_order,
-    BaseLib::ConfigTree const& config);
+    BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media);
 
 template std::unique_ptr<Process> createThermoHydroMechanicsProcess<3>(
     std::string name,
@@ -316,7 +201,7 @@ template std::unique_ptr<Process> createThermoHydroMechanicsProcess<3>(
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
     unsigned const integration_order,
-    BaseLib::ConfigTree const& config);
-
+    BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media);
 }  // namespace ThermoHydroMechanics
 }  // namespace ProcessLib
diff --git a/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.h b/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.h
index 99641a62eb6d2aad89d9575a9174e16fc3c49f6a..cf2468cf6ed5ba304650a7af018286edfc244403 100644
--- a/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.h
+++ b/ProcessLib/ThermoHydroMechanics/CreateThermoHydroMechanicsProcess.h
@@ -11,6 +11,7 @@
 #pragma once
 
 #include <boost/optional.hpp>
+#include <map>
 #include <memory>
 #include <vector>
 
@@ -18,10 +19,17 @@ namespace BaseLib
 {
 class ConfigTree;
 }
+
+namespace MaterialPropertyLib
+{
+class Medium;
+}
+
 namespace MeshLib
 {
 class Mesh;
 }
+
 namespace ParameterLib
 {
 struct CoordinateSystem;
@@ -48,18 +56,18 @@ std::unique_ptr<Process> createThermoHydroMechanicsProcess(
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
     unsigned const integration_order,
-    BaseLib::ConfigTree const& config);
+    BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media);
 
 extern template std::unique_ptr<Process> createThermoHydroMechanicsProcess<2>(
-    std::string name,
-    MeshLib::Mesh& mesh,
+    std::string name, MeshLib::Mesh& mesh,
     std::unique_ptr<ProcessLib::AbstractJacobianAssembler>&& jacobian_assembler,
     std::vector<ProcessVariable> const& variables,
     std::vector<std::unique_ptr<ParameterLib::ParameterBase>> const& parameters,
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
-    unsigned const integration_order,
-    BaseLib::ConfigTree const& config);
+    unsigned const integration_order, BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media);
 
 extern template std::unique_ptr<Process> createThermoHydroMechanicsProcess<3>(
     std::string name,
@@ -70,6 +78,7 @@ extern template std::unique_ptr<Process> createThermoHydroMechanicsProcess<3>(
     boost::optional<ParameterLib::CoordinateSystem> const&
         local_coordinate_system,
     unsigned const integration_order,
-    BaseLib::ConfigTree const& config);
+    BaseLib::ConfigTree const& config,
+    std::map<int, std::unique_ptr<MaterialPropertyLib::Medium>> const& media);
 }  // namespace ThermoHydroMechanics
 }  // namespace ProcessLib
diff --git a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM-impl.h b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM-impl.h
index a0095d5b58bea7d53fa768e9f5017d94c8f696a4..0eb510707b7fec1df14b207e9c98718c7656b08c 100644
--- a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM-impl.h
+++ b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM-impl.h
@@ -13,6 +13,13 @@
 #include "ThermoHydroMechanicsFEM.h"
 
 #include "MaterialLib/SolidModels/SelectSolidConstitutiveRelation.h"
+
+#include "MaterialLib/MPL/Components/GetThermalExpansivity.h"
+#include "MaterialLib/MPL/Medium.h"
+#include "MaterialLib/MPL/Property.h"
+#include "MaterialLib/MPL/Utils/FormEffectiveThermalConductivity.h"
+#include "MaterialLib/MPL/Utils/FormEigenTensor.h"
+
 #include "MathLib/KelvinVector.h"
 #include "NumLib/Function/Interpolation.h"
 #include "ProcessLib/CoupledSolutionsForStaggeredScheme.h"
@@ -181,6 +188,11 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
     ParameterLib::SpatialPosition x_position;
     x_position.setElementID(_element.getID());
 
+    auto const& medium = _process_data.media_map->getMedium(_element.getID());
+    auto const& liquid_phase = medium->phase("AqueousLiquid");
+    auto const& solid_phase = medium->phase("Solid");
+    MaterialPropertyLib::VariableArray vars;
+
     unsigned const n_integration_points =
         _integration_method.getNumberOfPoints();
     for (unsigned ip = 0; ip < n_integration_points; ip++)
@@ -215,51 +227,63 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
         auto& eps = _ip_data[ip].eps;
         auto const& sigma_eff = _ip_data[ip].sigma_eff;
 
-        double const S = _process_data.specific_storage(t, x_position)[0];
-        // TODO: change it like auto const K_over_mu
-        // hydraulicConductivity<GlobalDim>(_process_data.intrinsic_permeability(t,
-        // x_position)/...
-        double const K_over_mu =
-            _process_data.intrinsic_permeability(t, x_position)[0] /
-            _process_data.fluid_viscosity(t, x_position)[0];
-        double const alpha_s =
-            _process_data.solid_linear_thermal_expansion_coefficient(
-                t, x_position)[0];
-        double const beta_f =
-            _process_data.fluid_volumetric_thermal_expansion_coefficient(
-                t, x_position)[0];
-        // TODO: change it like auto const lambda_f =
-        // hydraulicConductivity<GlobalDim>(_process_data.intrinsic_permeability(t,
-        // x_position)/...
-        double const lambda_f =
-            _process_data.fluid_thermal_conductivity(t, x_position)[0];
-        // TODO: change it like auto const lambda_s =
-        // hydraulicConductivity<GlobalDim>(_process_data.intrinsic_permeability(t,
-        // x_position)/...
-        double const lambda_s =
-            _process_data.solid_thermal_conductivity(t, x_position)[0];
-        double const C_f =
-            _process_data.fluid_specific_heat_capacity(t, x_position)[0];
-        double const C_s =
-            _process_data.solid_specific_heat_capacity(t, x_position)[0];
+        vars[static_cast<int>(MaterialPropertyLib::Variable::temperature)] =
+            T_int_pt;
+        vars[static_cast<int>(MaterialPropertyLib::Variable::phase_pressure)] =
+            N_p * p;
+
+        auto const solid_density =
+            solid_phase.property(MaterialPropertyLib::PropertyType::density)
+                .template value<double>(vars);
+        auto const specific_storage =
+            solid_phase.property(MaterialPropertyLib::PropertyType::storage)
+                .template value<double>(vars);
+        auto const solid_linear_thermal_expansion_coefficient =
+            solid_phase
+                .property(
+                    MaterialPropertyLib::PropertyType::thermal_expansivity)
+                .template value<double>(vars);
+
+        auto const porosity =
+            solid_phase.property(MaterialPropertyLib::PropertyType::porosity)
+                .template value<double>(vars);
+
+        auto const intrinsic_permeability =
+            MaterialPropertyLib::formEigenTensor<DisplacementDim>(
+                solid_phase
+                    .property(MaterialPropertyLib::PropertyType::permeability)
+                    .value(vars));
+
+        auto const fluid_density =
+            liquid_phase.property(MaterialPropertyLib::PropertyType::density)
+                .template value<double>(vars);
+
+        double const fluid_volumetric_thermal_expansion_coefficient =
+            MaterialPropertyLib::getThermalExpansivity(liquid_phase, vars,
+                                                       fluid_density);
+
+        // Use the viscosity model to compute the viscosity
+        auto const viscosity =
+            liquid_phase.property(MaterialPropertyLib::PropertyType::viscosity)
+                .template value<double>(vars);
+        GlobalDimMatrixType K_over_mu = intrinsic_permeability / viscosity;
+
         double const T0 = _process_data.reference_temperature(t, x_position)[0];
-        auto const alpha = _process_data.biot_coefficient(t, x_position)[0];
-        auto const rho_sr = _process_data.solid_density(t, x_position)[0];
-        auto const rho_fr = _process_data.fluid_density(t, x_position)[0];
-        auto const porosity = _process_data.porosity(t, x_position)[0];
+
         auto const& b = _process_data.specific_body_force;
         auto const& identity2 = MathLib::KelvinVector::Invariants<
             MathLib::KelvinVector::KelvinVectorDimensions<
                 DisplacementDim>::value>::identity2;
 
+        // TODO (Wenqing) : Change dT to time step wise increment
         double const delta_T(T_int_pt - T0);
-        double const thermal_strain = alpha_s * delta_T;
+        double const thermal_strain =
+            solid_linear_thermal_expansion_coefficient * delta_T;
 
-        double const rho_s = rho_sr * (1 - 3 * thermal_strain);
+        double const rho_s = solid_density * (1 - 3 * thermal_strain);
 
         auto velocity = (-K_over_mu * dNdx_p * p).eval();
-        double const rho_f = rho_fr * (1 - beta_f * delta_T);
-        velocity += K_over_mu * rho_f * b;
+        velocity += K_over_mu * fluid_density * b;
 
         //
         // displacement equation, displacement part
@@ -275,7 +299,7 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
                 displacement_index, displacement_index)
             .noalias() += B.transpose() * C * B * w;
 
-        auto const rho = rho_s * (1 - porosity) + porosity * rho_f;
+        auto const rho = rho_s * (1 - porosity) + porosity * fluid_density;
         local_rhs.template segment<displacement_size>(displacement_index)
             .noalias() -=
             (B.transpose() * sigma_eff - N_u_op.transpose() * rho * b) * w;
@@ -283,6 +307,11 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
         //
         // displacement equation, pressure part (K_up)
         //
+        auto const alpha =
+            solid_phase
+                .property(MaterialPropertyLib::PropertyType::biot_coefficient)
+                .template value<double>(vars);
+
         Kup.noalias() += B.transpose() * alpha * identity2 * N_p * w;
 
         //
@@ -290,16 +319,18 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
         //
         laplace_p.noalias() += dNdx_p.transpose() * K_over_mu * dNdx_p * w;
 
-        storage_p.noalias() += N_p.transpose() * S * N_p * w;
+        storage_p.noalias() += N_p.transpose() * specific_storage * N_p * w;
         //
         //  RHS, pressure part
         //
         local_rhs.template segment<pressure_size>(pressure_index).noalias() +=
-            dNdx_p.transpose() * rho_f * K_over_mu * b * w;
+            dNdx_p.transpose() * fluid_density * K_over_mu * b * w;
         //
         // pressure equation, temperature part (M_pT)
         //
-        auto const beta = porosity * beta_f + (1 - porosity) * 3 * alpha_s;
+        auto const beta =
+            porosity * fluid_volumetric_thermal_expansion_coefficient +
+            (1 - porosity) * 3 * solid_linear_thermal_expansion_coefficient;
         storage_T.noalias() += N_T.transpose() * beta * N_T * w;
 
         //
@@ -310,20 +341,46 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
         //
         // temperature equation, temperature part.
         //
-        auto const lambda = porosity * lambda_f + (1 - porosity) * lambda_s;
-        KTT.noalias() += (dNdx_T.transpose() * lambda * dNdx_T +
-                          dNdx_T.transpose() * velocity * N_p * rho_f * C_f) *
-                         w;
-        // coefficient matrix which is used for calculating the residual
-        auto const heat_capacity =
-            porosity * C_f * rho_f + (1 - porosity) * C_s * rho_sr;
-        MTT.noalias() += N_T.transpose() * heat_capacity * N_T * w;
+        const double c_f =
+            liquid_phase
+                .property(
+                    MaterialPropertyLib::PropertyType::specific_heat_capacity)
+                .template value<double>(vars);
+        auto const fluid_thermal_conductivity =
+            liquid_phase
+                .property(
+                    MaterialPropertyLib::PropertyType::thermal_conductivity)
+                .template value<double>(vars);
+        GlobalDimMatrixType effective_thermal_condictivity =
+            MaterialPropertyLib::formEffectiveThermalConductivity<
+                DisplacementDim>(
+                solid_phase
+                    .property(
+                        MaterialPropertyLib::PropertyType::thermal_conductivity)
+                    .value(vars),
+                fluid_thermal_conductivity, porosity);
+
+        KTT.noalias() +=
+            (dNdx_T.transpose() * effective_thermal_condictivity * dNdx_T +
+             dNdx_T.transpose() * velocity * N_p * fluid_density * c_f) *
+            w;
+
+        auto const effective_volumetric_heat_capacity =
+            porosity * fluid_density * c_f +
+            (1.0 - porosity) * solid_density *
+                solid_phase
+                    .property(MaterialPropertyLib::PropertyType::
+                                  specific_heat_capacity)
+                    .template value<double>(vars);
+
+        MTT.noalias() +=
+            N_T.transpose() * effective_volumetric_heat_capacity * N_T * w;
 
         //
         // temperature equation, pressure part
         //
-        KTp.noalias() += K_over_mu * rho_f * C_f * N_T.transpose() *
-                         (dNdx_T * T).transpose() * dNdx_T * w;
+        KTp.noalias() += fluid_density * c_f * N_T.transpose() *
+                         (dNdx_T * T).transpose() * K_over_mu * dNdx_p * w;
     }
     // temperature equation, temperature part
     local_Jac
@@ -384,7 +441,7 @@ template <typename ShapeFunctionDisplacement, typename ShapeFunctionPressure,
           typename IntegrationMethod, int DisplacementDim>
 std::vector<double> const& ThermoHydroMechanicsLocalAssembler<
     ShapeFunctionDisplacement, ShapeFunctionPressure, IntegrationMethod,
-    DisplacementDim>::getIntPtDarcyVelocity(const double t,
+    DisplacementDim>::getIntPtDarcyVelocity(const double /*t*/,
                                             GlobalVector const&
                                                 current_solution,
                                             NumLib::LocalToGlobalIndexMap const&
@@ -407,26 +464,51 @@ std::vector<double> const& ThermoHydroMechanicsLocalAssembler<
 
     auto p = Eigen::Map<typename ShapeMatricesTypePressure::template VectorType<
         pressure_size> const>(local_x.data() + pressure_index, pressure_size);
+    auto T = Eigen::Map<typename ShapeMatricesTypePressure::template VectorType<
+        temperature_size> const>(local_x.data() + temperature_index,
+                                 temperature_size);
 
     unsigned const n_integration_points =
         _integration_method.getNumberOfPoints();
 
     ParameterLib::SpatialPosition x_position;
     x_position.setElementID(_element.getID());
+
+    auto const& medium = _process_data.media_map->getMedium(_element.getID());
+    auto const& liquid_phase = medium->phase("AqueousLiquid");
+    auto const& solid_phase = medium->phase("Solid");
+    MaterialPropertyLib::VariableArray vars;
+
     for (unsigned ip = 0; ip < n_integration_points; ip++)
     {
         x_position.setIntegrationPoint(ip);
-        double const K_over_mu =
-            _process_data.intrinsic_permeability(t, x_position)[0] /
-            _process_data.fluid_viscosity(t, x_position)[0];
 
-        auto const rho_fr = _process_data.fluid_density(t, x_position)[0];
+        auto const& N_p = _ip_data[ip].N_p;
+
+        vars[static_cast<int>(MaterialPropertyLib::Variable::temperature)] =
+            N_p * T;  // N_p = N_T
+        vars[static_cast<int>(MaterialPropertyLib::Variable::phase_pressure)] =
+            N_p * p;
+
+        auto const viscosity =
+            liquid_phase.property(MaterialPropertyLib::PropertyType::viscosity)
+                .template value<double>(vars);
+        GlobalDimMatrixType K_over_mu =
+            MaterialPropertyLib::formEigenTensor<DisplacementDim>(
+                solid_phase
+                    .property(MaterialPropertyLib::PropertyType::permeability)
+                    .value(vars)) /
+            viscosity;
+
+        auto const fluid_density =
+            liquid_phase.property(MaterialPropertyLib::PropertyType::density)
+                .template value<double>(vars);
         auto const& b = _process_data.specific_body_force;
 
         // Compute the velocity
         auto const& dNdx_p = _ip_data[ip].dNdx_p;
         cache_matrix.col(ip).noalias() =
-            -K_over_mu * dNdx_p * p + K_over_mu * rho_fr * b;
+            -K_over_mu * dNdx_p * p + K_over_mu * fluid_density * b;
     }
 
     return cache;
@@ -452,10 +534,15 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
     auto T = Eigen::Map<typename ShapeMatricesTypePressure::template VectorType<
         temperature_size> const>(local_x.data() + temperature_index,
                                  temperature_size);
+    auto p = Eigen::Map<typename ShapeMatricesTypePressure::template VectorType<
+        pressure_size> const>(local_x.data() + pressure_index, pressure_size);
 
     double const& dt = _process_data.dt;
     ParameterLib::SpatialPosition x_position;
     x_position.setElementID(_element.getID());
+    auto const& medium = _process_data.media_map->getMedium(_element.getID());
+    auto const& solid_phase = medium->phase("Solid");
+    MaterialPropertyLib::VariableArray vars;
 
     int const n_integration_points = _integration_method.getNumberOfPoints();
     for (int ip = 0; ip < n_integration_points; ip++)
@@ -476,14 +563,22 @@ void ThermoHydroMechanicsLocalAssembler<ShapeFunctionDisplacement,
                 dNdx_u, N_u, x_coord, _is_axially_symmetric);
 
         double const T0 = _process_data.reference_temperature(t, x_position)[0];
-        double const alpha_s =
-            _process_data.solid_linear_thermal_expansion_coefficient(
-                t, x_position)[0];
 
         double const T_int_pt = N_T * T;
+        vars[static_cast<int>(MaterialPropertyLib::Variable::temperature)] =
+            T_int_pt;
+        vars[static_cast<int>(MaterialPropertyLib::Variable::phase_pressure)] =
+            N_T * p;  // N_T = N_p
+
+        auto const solid_linear_thermal_expansion_coefficient =
+            solid_phase
+                .property(
+                    MaterialPropertyLib::PropertyType::thermal_expansivity)
+                .template value<double>(vars);
 
         double const delta_T(T_int_pt - T0);
-        double const thermal_strain = alpha_s * delta_T;
+        double const thermal_strain =
+            solid_linear_thermal_expansion_coefficient * delta_T;
 
         auto& eps = _ip_data[ip].eps;
         eps.noalias() = B * u;
diff --git a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM.h b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM.h
index 18fb21dcb0416e9fedd78aa2fc48ba42246a3e36..eb66005fdcd84e2a83038485a2c3f2e061db9f57 100644
--- a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM.h
+++ b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsFEM.h
@@ -53,6 +53,12 @@ public:
     using ShapeMatricesTypePressure =
         ShapeMatrixPolicyType<ShapeFunctionPressure, DisplacementDim>;
 
+    using GlobalDimMatrixType =
+        typename ShapeMatricesTypePressure::GlobalDimMatrixType;
+
+    using GlobalDimVectorType =
+        typename ShapeMatricesTypePressure::GlobalDimVectorType;
+
     static int const KelvinVectorSize =
         MathLib::KelvinVector::KelvinVectorDimensions<DisplacementDim>::value;
     using Invariants = MathLib::KelvinVector::Invariants<KelvinVectorSize>;
diff --git a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsProcessData.h b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsProcessData.h
index a9bbc59e9df7d6430d1f657b0b63da5e70fe0b76..cab217a599a6b88c2ee345bab119b779670101d7 100644
--- a/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsProcessData.h
+++ b/ProcessLib/ThermoHydroMechanics/ThermoHydroMechanicsProcessData.h
@@ -17,6 +17,8 @@
 
 #include <Eigen/Dense>
 
+#include "MaterialLib/MPL/MaterialSpatialDistributionMap.h"
+
 namespace MaterialLib
 {
 namespace Solids
@@ -34,37 +36,15 @@ struct ThermoHydroMechanicsProcessData
 {
     MeshLib::PropertyVector<int> const* const material_ids = nullptr;
 
+    std::unique_ptr<MaterialPropertyLib::MaterialSpatialDistributionMap>
+        media_map = nullptr;
+
     /// The constitutive relation for the mechanical part.
     /// \note Linear elasticity is the only supported one in the moment.
     std::map<
         int,
         std::unique_ptr<MaterialLib::Solids::MechanicsBase<DisplacementDim>>>
         solid_materials;
-    /// Permeability of the solid. A scalar quantity,
-    ///	ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& intrinsic_permeability;
-    /// Volumetric average specific storage of the solid and fluid phases.
-    /// A scalar quantity, ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& specific_storage;
-    /// Fluid's viscosity. A scalar quantity, ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& fluid_viscosity;
-    /// Fluid's density. A scalar quantity, ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& fluid_density;
-    /// Biot coefficient. A scalar quantity, ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& biot_coefficient;
-    /// Porosity of the solid. A scalar quantity,
-    /// ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& porosity;
-    /// Solid's density. A scalar quantity, ParameterLib::Parameter<double>.
-    ParameterLib::Parameter<double> const& solid_density;
-    ParameterLib::Parameter<double> const&
-        solid_linear_thermal_expansion_coefficient;
-    ParameterLib::Parameter<double> const&
-        fluid_volumetric_thermal_expansion_coefficient;
-    ParameterLib::Parameter<double> const& solid_specific_heat_capacity;
-    ParameterLib::Parameter<double> const& fluid_specific_heat_capacity;
-    ParameterLib::Parameter<double> const& solid_thermal_conductivity;
-    ParameterLib::Parameter<double> const& fluid_thermal_conductivity;
     ParameterLib::Parameter<double> const& reference_temperature;
     /// Specific body forces applied to solid and fluid.
     /// It is usually used to apply gravitational forces.
diff --git a/Tests/Data/ThermoHydroMechanics/Linear/Beam_sealed_bimaterial/square_1e2.prj b/Tests/Data/ThermoHydroMechanics/Linear/Beam_sealed_bimaterial/square_1e2.prj
index 8f84cb29607644e3aee95655b85ac068742f76e0..ace71de594666a8f855939efddd65b2a903707f4 100644
--- a/Tests/Data/ThermoHydroMechanics/Linear/Beam_sealed_bimaterial/square_1e2.prj
+++ b/Tests/Data/ThermoHydroMechanics/Linear/Beam_sealed_bimaterial/square_1e2.prj
@@ -13,19 +13,6 @@
                 <youngs_modulus>E</youngs_modulus>
                 <poissons_ratio>nu</poissons_ratio>
             </constitutive_relation>
-            <intrinsic_permeability>k</intrinsic_permeability>
-            <specific_storage>S</specific_storage>
-            <biot_coefficient>alpha</biot_coefficient>
-            <porosity>phi</porosity>
-            <solid_density>rho_sr</solid_density>
-            <fluid_density>rho_fr</fluid_density>
-            <fluid_viscosity>mu</fluid_viscosity>
-            <fluid_volumetric_thermal_expansion_coefficient>beta_f</fluid_volumetric_thermal_expansion_coefficient>
-            <solid_linear_thermal_expansion_coefficient>alpha_s</solid_linear_thermal_expansion_coefficient>
-            <solid_specific_heat_capacity>C_s</solid_specific_heat_capacity>
-            <solid_thermal_conductivity>lambda_s</solid_thermal_conductivity>
-            <fluid_specific_heat_capacity>C_f</fluid_specific_heat_capacity>
-            <fluid_thermal_conductivity>lambda_f</fluid_thermal_conductivity>
             <reference_temperature>T0</reference_temperature>
             <process_variables>
                 <displacement>displacement</displacement>
@@ -39,6 +26,260 @@
             <specific_body_force>0 0</specific_body_force>
         </process>
     </processes>
+    <media>
+        <medium id="0">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56e-3</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-6 0 0 1.e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.1</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.23333e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+        <medium id="1">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56e-3</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-16 0 0 1.e-16</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.23333e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+        <medium id="2">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56e-3</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-6 0 0 1.e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.1</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.46667e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+    </media>
     <time_loop>
         <processes>
             <process ref="THERMO_HYDRO_MECHANICS">
@@ -100,104 +341,11 @@
                 <value>9.5</value>
             </index_values>
         </parameter>
-        <parameter>
-            <name>alpha_s</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>0.23333e-5</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0.23333e-5</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>0.46667e-5</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>phi</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>0.1</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>0.1</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>k</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>1e-6</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>1e-16</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>1e-6</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>alpha</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>1</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>1</value>
-            </index_values>
-        </parameter>
         <parameter>
             <name>nu</name>
             <type>Constant</type>
             <value>0.3</value>
         </parameter>
-        <parameter>
-            <name>S</name>
-            <type>Constant</type>
-            <value>0</value>
-        </parameter>
-        <parameter>
-            <name>rho_sr</name>
-            <type>Constant</type>
-            <value>1.75e-6</value>
-        </parameter>
-        <parameter>
-            <name>beta_f</name>
-            <type>Constant</type>
-            <value>2.07e-4</value>
-        </parameter>
-        <parameter>
-            <name>lambda_s</name>
-            <type>Constant</type>
-            <value>2.5e-3</value>
-        </parameter>
-        <parameter>
-            <name>C_s</name>
-            <type>Constant</type>
-            <value>1714.0</value>
-        </parameter>
         <parameter>
             <name>T0</name>
             <type>Constant</type>
@@ -228,26 +376,6 @@
             <type>Constant</type>
             <value>363.15</value>
         </parameter>
-        <parameter>
-            <name>rho_fr</name>
-            <type>Constant</type>
-            <value>1e-6</value>
-        </parameter>
-        <parameter>
-            <name>mu</name>
-            <type>Constant</type>
-            <value>1.278e-9</value>
-        </parameter>
-        <parameter>
-            <name>C_f</name>
-            <type>Constant</type>
-            <value>4186</value>
-        </parameter>
-        <parameter>
-            <name>lambda_f</name>
-            <type>Constant</type>
-            <value>0.56e-3</value>
-        </parameter>
     </parameters>
     <process_variables>
         <process_variable>
diff --git a/Tests/Data/ThermoHydroMechanics/Linear/Beam_unsealed_bimaterial/square_1e2.prj b/Tests/Data/ThermoHydroMechanics/Linear/Beam_unsealed_bimaterial/square_1e2.prj
index e5ae4709a9984e82ccae571959b37a592f6abaa6..663649224712c0c1912d6df2dd0f610060d72033 100644
--- a/Tests/Data/ThermoHydroMechanics/Linear/Beam_unsealed_bimaterial/square_1e2.prj
+++ b/Tests/Data/ThermoHydroMechanics/Linear/Beam_unsealed_bimaterial/square_1e2.prj
@@ -13,19 +13,6 @@
                 <youngs_modulus>E</youngs_modulus>
                 <poissons_ratio>nu</poissons_ratio>
             </constitutive_relation>
-            <intrinsic_permeability>k</intrinsic_permeability>
-            <specific_storage>S</specific_storage>
-            <biot_coefficient>alpha</biot_coefficient>
-            <porosity>phi</porosity>
-            <solid_density>rho_sr</solid_density>
-            <fluid_density>rho_fr</fluid_density>
-            <fluid_viscosity>mu</fluid_viscosity>
-            <fluid_volumetric_thermal_expansion_coefficient>beta_f</fluid_volumetric_thermal_expansion_coefficient>
-            <solid_linear_thermal_expansion_coefficient>alpha_s</solid_linear_thermal_expansion_coefficient>
-            <solid_specific_heat_capacity>C_s</solid_specific_heat_capacity>
-            <solid_thermal_conductivity>lambda_s</solid_thermal_conductivity>
-            <fluid_specific_heat_capacity>C_f</fluid_specific_heat_capacity>
-            <fluid_thermal_conductivity>lambda_f</fluid_thermal_conductivity>
             <reference_temperature>T0</reference_temperature>
             <process_variables>
                 <displacement>displacement</displacement>
@@ -39,6 +26,262 @@
             <specific_body_force>0 0</specific_body_force>
         </process>
     </processes>
+
+    <media>
+        <medium id="0">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-6 0 0 1.e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.1</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.2333333333e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+        <medium id="1">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-6 0 0 1.e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.2333333333e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+        <medium id="2">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>283.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1.e-6 0 0 1.e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.1</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>2.5e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.4666666667e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+    </media>
+
     <time_loop>
         <processes>
             <process ref="THERMO_HYDRO_MECHANICS">
@@ -100,104 +343,11 @@
                 <value>10</value>
             </index_values>
         </parameter>
-        <parameter>
-            <name>alpha_s</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>0.2333333333e-5</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0.2333333333e-5</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>0.4666666667e-5</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>phi</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>0.1</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>0.1</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>k</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>1e-6</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>1e-6</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>1e-6</value>
-            </index_values>
-        </parameter>
-        <parameter>
-            <name>alpha</name>
-            <type>Group</type>
-            <group_id_property>MaterialIDs</group_id_property>
-            <index_values>
-                <index>0</index>
-                <value>1</value>
-            </index_values>
-            <index_values>
-                <index>1</index>
-                <value>0</value>
-            </index_values>
-            <index_values>
-                <index>2</index>
-                <value>1</value>
-            </index_values>
-        </parameter>
         <parameter>
             <name>nu</name>
             <type>Constant</type>
             <value>0.3</value>
         </parameter>
-        <parameter>
-            <name>S</name>
-            <type>Constant</type>
-            <value>0</value>
-        </parameter>
-        <parameter>
-            <name>rho_sr</name>
-            <type>Constant</type>
-            <value>1.75e-6</value>
-        </parameter>
-        <parameter>
-            <name>beta_f</name>
-            <type>Constant</type>
-            <value>2.07e-4</value>
-        </parameter>
-        <parameter>
-            <name>lambda_s</name>
-            <type>Constant</type>
-            <value>2.5e-3</value>
-        </parameter>
-        <parameter>
-            <name>C_s</name>
-            <type>Constant</type>
-            <value>1714.0</value>
-        </parameter>
         <parameter>
             <name>T0</name>
             <type>Constant</type>
@@ -233,26 +383,6 @@
             <type>Constant</type>
             <value>363.15</value>
         </parameter>
-        <parameter>
-            <name>rho_fr</name>
-            <type>Constant</type>
-            <value>1e-6</value>
-        </parameter>
-        <parameter>
-            <name>mu</name>
-            <type>Constant</type>
-            <value>1.278e-9</value>
-        </parameter>
-        <parameter>
-            <name>C_f</name>
-            <type>Constant</type>
-            <value>4186</value>
-        </parameter>
-        <parameter>
-            <name>lambda_f</name>
-            <type>Constant</type>
-            <value>0.56</value>
-        </parameter>
     </parameters>
     <process_variables>
         <process_variable>
diff --git a/Tests/Data/ThermoHydroMechanics/Linear/Point_injection/square_1e2.prj b/Tests/Data/ThermoHydroMechanics/Linear/Point_injection/square_1e2.prj
index 159678752a13ff78d5403d48d92e63a752933384..87e15ebe5da9f326b0034a9b0b666b908841e011 100644
--- a/Tests/Data/ThermoHydroMechanics/Linear/Point_injection/square_1e2.prj
+++ b/Tests/Data/ThermoHydroMechanics/Linear/Point_injection/square_1e2.prj
@@ -13,19 +13,6 @@
                 <youngs_modulus>E</youngs_modulus>
                 <poissons_ratio>nu</poissons_ratio>
             </constitutive_relation>
-            <intrinsic_permeability>k</intrinsic_permeability>
-            <specific_storage>S</specific_storage>
-            <biot_coefficient>alpha</biot_coefficient>
-            <porosity>phi</porosity>
-            <solid_density>rho_sr</solid_density>
-            <fluid_density>rho_fr</fluid_density>
-            <fluid_viscosity>mu</fluid_viscosity>
-            <fluid_volumetric_thermal_expansion_coefficient>beta_f</fluid_volumetric_thermal_expansion_coefficient>
-            <solid_linear_thermal_expansion_coefficient>alpha_s</solid_linear_thermal_expansion_coefficient>
-            <solid_specific_heat_capacity>C_s</solid_specific_heat_capacity>
-            <solid_thermal_conductivity>lambda_s</solid_thermal_conductivity>
-            <fluid_specific_heat_capacity>C_f</fluid_specific_heat_capacity>
-            <fluid_thermal_conductivity>lambda_f</fluid_thermal_conductivity>
             <reference_temperature>T0</reference_temperature>
             <process_variables>
                 <displacement>displacement</displacement>
@@ -39,6 +26,94 @@
             <specific_body_force>0 0</specific_body_force>
         </process>
     </processes>
+
+    <media>
+        <medium id="0">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4280.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.6</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>999.1</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>273.15</reference_condition>
+                                <slope>-4e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>4.0e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.e-3</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>2e-20 0 0 2e-20</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.16</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>2290</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>1.838</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>917.654</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>1.5e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+    </media>
+
     <time_loop>
         <processes>
             <process ref="THERMO_HYDRO_MECHANICS">
@@ -93,51 +168,6 @@
             <type>Constant</type>
             <value>0.3</value>
         </parameter>
-        <parameter>
-            <name>k</name>
-            <type>Constant</type>
-            <value>2e-20</value>
-        </parameter>
-        <parameter>
-            <name>S</name>
-            <type>Constant</type>
-            <value>0</value>
-        </parameter>
-        <parameter>
-            <name>alpha</name>
-            <type>Constant</type>
-            <value>1</value>
-        </parameter>
-        <parameter>
-            <name>phi</name>
-            <type>Constant</type>
-            <value>0.16</value>
-        </parameter>
-        <parameter>
-            <name>rho_sr</name>
-            <type>Constant</type>
-            <value>2290</value>
-        </parameter>
-        <parameter>
-            <name>alpha_s</name>
-            <type>Constant</type>
-            <value>1.5e-5</value>
-        </parameter>
-        <parameter>
-            <name>beta_f</name>
-            <type>Constant</type>
-            <value>4e-4</value>
-        </parameter>
-        <parameter>
-            <name>lambda_s</name>
-            <type>Constant</type>
-            <value>1.838</value>
-        </parameter>
-        <parameter>
-            <name>C_s</name>
-            <type>Constant</type>
-            <value>917.654</value>
-        </parameter>
         <parameter>
             <name>T0</name>
             <type>Constant</type>
@@ -183,26 +213,6 @@
             <type>Constant</type>
             <value>150</value>
         </parameter>
-        <parameter>
-            <name>rho_fr</name>
-            <type>Constant</type>
-            <value>999.1</value>
-        </parameter>
-        <parameter>
-            <name>mu</name>
-            <type>Constant</type>
-            <value>1e-3</value>
-        </parameter>
-        <parameter>
-            <name>C_f</name>
-            <type>Constant</type>
-            <value>4280</value>
-        </parameter>
-        <parameter>
-            <name>lambda_f</name>
-            <type>Constant</type>
-            <value>0.6</value>
-        </parameter>
     </parameters>
     <process_variables>
         <process_variable>
diff --git a/Tests/Data/ThermoHydroMechanics/Linear/Square_sealed_homogeneous/square_1e0.prj b/Tests/Data/ThermoHydroMechanics/Linear/Square_sealed_homogeneous/square_1e0.prj
index 727f1e8b899af85de36ec0957eac26889d461303..ef56bac35b7336c5059d53995536851667a4949e 100644
--- a/Tests/Data/ThermoHydroMechanics/Linear/Square_sealed_homogeneous/square_1e0.prj
+++ b/Tests/Data/ThermoHydroMechanics/Linear/Square_sealed_homogeneous/square_1e0.prj
@@ -13,19 +13,6 @@
                 <youngs_modulus>E</youngs_modulus>
                 <poissons_ratio>nu</poissons_ratio>
             </constitutive_relation>
-            <intrinsic_permeability>k</intrinsic_permeability>
-            <specific_storage>S</specific_storage>
-            <biot_coefficient>alpha</biot_coefficient>
-            <porosity>phi</porosity>
-            <solid_density>rho_sr</solid_density>
-            <fluid_density>rho_fr</fluid_density>
-            <fluid_viscosity>mu</fluid_viscosity>
-            <fluid_volumetric_thermal_expansion_coefficient>beta_f</fluid_volumetric_thermal_expansion_coefficient>
-            <solid_linear_thermal_expansion_coefficient>alpha_s</solid_linear_thermal_expansion_coefficient>
-            <solid_specific_heat_capacity>C_s</solid_specific_heat_capacity>
-            <solid_thermal_conductivity>lambda_s</solid_thermal_conductivity>
-            <fluid_specific_heat_capacity>C_f</fluid_specific_heat_capacity>
-            <fluid_thermal_conductivity>lambda_f</fluid_thermal_conductivity>
             <reference_temperature>T0</reference_temperature>
             <process_variables>
                 <temperature>temperature</temperature>
@@ -39,6 +26,94 @@
             <specific_body_force>0 0</specific_body_force>
         </process>
     </processes>
+
+    <media>
+        <medium id="0">
+            <phases>
+                <phase>
+                    <type>AqueousLiquid</type>
+                    <properties>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>4186.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.56</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Linear</type>
+                            <reference_value>1e-6</reference_value>
+                            <independent_variable>
+                                <variable_name>temperature</variable_name>
+                                <reference_condition>273.15</reference_condition>
+                                <slope>-2.07e-4</slope>
+                            </independent_variable>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>2.07e-4</value>
+                        </property>
+                        <property>
+                            <name>viscosity</name>
+                            <type>Constant</type>
+                            <value>1.278e-9</value>
+                        </property>
+                    </properties>
+                </phase>
+                <phase>
+                    <type>Solid</type>
+                    <properties>
+                        <property>
+                            <name>permeability</name>
+                            <type>Constant</type>
+                            <value>1e-6 0 0 1e-6</value>
+                        </property>
+                        <property>
+                            <name>porosity</name>
+                            <type>Constant</type>
+                            <value>0.4</value>
+                        </property>
+                        <property>
+                            <name>storage</name>
+                            <type>Constant</type>
+                            <value>0.0</value>
+                        </property>
+                        <property>
+                            <name>density</name>
+                            <type>Constant</type>
+                            <value>1.75e-6</value>
+                        </property>
+                        <property>
+                            <name>thermal_conductivity</name>
+                            <type>Constant</type>
+                            <value>0.9e-3</value>
+                        </property>
+                        <property>
+                            <name>specific_heat_capacity</name>
+                            <type>Constant</type>
+                            <value>1714.0</value>
+                        </property>
+                        <property>
+                            <name>biot_coefficient</name>
+                            <type>Constant</type>
+                            <value>1.0</value>
+                        </property>
+                        <property>
+                            <name>thermal_expansivity</name>
+                            <type>Constant</type>
+                            <value>0.7e-5</value>
+                        </property>
+                    </properties>
+                </phase>
+            </phases>
+        </medium>
+    </media>
+
     <time_loop>
         <processes>
             <process ref="THERMO_HYDRO_MECHANICS">
@@ -93,51 +168,6 @@
             <type>Constant</type>
             <value>0.3</value>
         </parameter>
-        <parameter>
-            <name>k</name>
-            <type>Constant</type>
-            <value>1e-6</value>
-        </parameter>
-        <parameter>
-            <name>S</name>
-            <type>Constant</type>
-            <value>0</value>
-        </parameter>
-        <parameter>
-            <name>alpha</name>
-            <type>Constant</type>
-            <value>1</value>
-        </parameter>
-        <parameter>
-            <name>phi</name>
-            <type>Constant</type>
-            <value>0.4</value>
-        </parameter>
-        <parameter>
-            <name>rho_sr</name>
-            <type>Constant</type>
-            <value>1.75e-6</value>
-        </parameter>
-        <parameter>
-            <name>alpha_s</name>
-            <type>Constant</type>
-            <value>0.7e-5</value>
-        </parameter>
-        <parameter>
-            <name>beta_f</name>
-            <type>Constant</type>
-            <value>2.07e-4</value>
-        </parameter>
-        <parameter>
-            <name>lambda_s</name>
-            <type>Constant</type>
-            <value>0.9e-3</value>
-        </parameter>
-        <parameter>
-            <name>C_s</name>
-            <type>Constant</type>
-            <value>1714.0</value>
-        </parameter>
         <parameter>
             <name>T0</name>
             <type>Constant</type>
@@ -168,26 +198,6 @@
             <type>Constant</type>
             <value>353.15</value>
         </parameter>
-        <parameter>
-            <name>rho_fr</name>
-            <type>Constant</type>
-            <value>1e-6</value>
-        </parameter>
-        <parameter>
-            <name>mu</name>
-            <type>Constant</type>
-            <value>1.278e-9</value>
-        </parameter>
-        <parameter>
-            <name>C_f</name>
-            <type>Constant</type>
-            <value>4186</value>
-        </parameter>
-        <parameter>
-            <name>lambda_f</name>
-            <type>Constant</type>
-            <value>0.56</value>
-        </parameter>
     </parameters>
     <process_variables>
         <process_variable>