diff --git a/Tests/Data/Parabolic/LiquidFlow/AxiSymTheis/axisym_theis.prj b/Tests/Data/Parabolic/LiquidFlow/AxiSymTheis/axisym_theis.prj
index 0fa0da5a9cfe09b3b5fc1583cfe976925ed6199e..1d7c34119d000905c20c1d452bacec35daf5b5f3 100644
--- a/Tests/Data/Parabolic/LiquidFlow/AxiSymTheis/axisym_theis.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/AxiSymTheis/axisym_theis.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 1.0e-3 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/BuildupTest/buildup_test.prj b/Tests/Data/Parabolic/LiquidFlow/BuildupTest/buildup_test.prj
index 29829338d8e88d3fbf6ff3d80aad4cf1ef3aaceb..1dbe5d86b2841355da07de0e6566660c83aff1e3 100644
--- a/Tests/Data/Parabolic/LiquidFlow/BuildupTest/buildup_test.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/BuildupTest/buildup_test.prj
@@ -62,24 +62,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 8.05e-7 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC/TestSet_01.prj b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC/TestSet_01.prj
index 27f35e69b5d60c178219127d43e1621a8e19ccfb..9f35ef032aeceb2fa3438f45f328751e1853cbe5 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC/TestSet_01.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC/TestSet_01.prj
@@ -22,24 +22,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Dupuit</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE/TestSet_01.prj b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE/TestSet_01.prj
index 18e022fe548a5a5c2fd6a0cce0607499494dfca3..711d6f3918f725011f22f916d9536dae9bcfa6d1 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE/TestSet_01.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE/TestSet_01.prj
@@ -23,24 +23,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Dupuit</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE2/TestSet_01.prj b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE2/TestSet_01.prj
index 654aaeccca59131db90919225d842d22f03a80bb..ce9f6901186458bd7cc8b752084f666001dd5011 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE2/TestSet_01.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_RECHARGE2/TestSet_01.prj
@@ -23,24 +23,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Dupuit</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_STORAGE/TestSet_01.prj b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_STORAGE/TestSet_01.prj
index 51f47d29e84551ab4e144b9a76d1f5c2ef1793b2..90df324e03c8b596b97c4b54a88899a66781574f 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_STORAGE/TestSet_01.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Dupuit/BC_BC_STORAGE/TestSet_01.prj
@@ -23,24 +23,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Dupuit</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.25 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Flux/2D/square_1e1_calculatesurfaceflux.prj b/Tests/Data/Parabolic/LiquidFlow/Flux/2D/square_1e1_calculatesurfaceflux.prj
index fc59a69c30191234dfc1e38e07ca201eae7907a1..1d46640291d51c7c8f7e231cf7a2f28aad35a73f 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Flux/2D/square_1e1_calculatesurfaceflux.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Flux/2D/square_1e1_calculatesurfaceflux.prj
@@ -28,24 +28,6 @@
                 <property_name>specific_flux</property_name>
                 <output_mesh>square_1x1_quad_1e1_complete_surface_left_right_dirichlet_specific_flux.vtu</output_mesh>
             </calculatesurfaceflux>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 8.05e-10 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Flux/cube_1e3_calculatesurfaceflux.prj b/Tests/Data/Parabolic/LiquidFlow/Flux/cube_1e3_calculatesurfaceflux.prj
index bbd128fd251c6758e9d279fc03b27cd6eea2ae67..f43747f4e37e55f0b8c25cb9927e03e36735181c 100644
--- a/Tests/Data/Parabolic/LiquidFlow/Flux/cube_1e3_calculatesurfaceflux.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Flux/cube_1e3_calculatesurfaceflux.prj
@@ -28,24 +28,6 @@
                 <property_name>specific_flux</property_name>
                 <output_mesh>cube_1x1x1_hex_1e3_complete_surface_left_right_dirichlet_specific_flux.vtu</output_mesh>
             </calculatesurfaceflux>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 8.05e-10 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/GravityDriven/gravity_driven.prj b/Tests/Data/Parabolic/LiquidFlow/GravityDriven/gravity_driven.prj
index d2fadb16bafb057cd42726537eacfc2af1d16565..b1b272185aeb2b717aed0df1a1b21c51510af552 100644
--- a/Tests/Data/Parabolic/LiquidFlow/GravityDriven/gravity_driven.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/GravityDriven/gravity_driven.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/anisotropic_gravity_driven3D.prj b/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/anisotropic_gravity_driven3D.prj
index 45c804f751229f51c27d334143ab741d57803fe3..30caef158ff959744e807d4fda5c572e9c2e223c 100644
--- a/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/anisotropic_gravity_driven3D.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/anisotropic_gravity_driven3D.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/isotropic_gravity_driven3D.prj b/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/isotropic_gravity_driven3D.prj
index 495abfd013793dfcc9f229aea6aeab2342011137..b61f07771f52176b54c5c97535b7bb60b20ee3a5 100644
--- a/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/isotropic_gravity_driven3D.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/GravityDriven3D/isotropic_gravity_driven3D.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/LineDirichletNeumannBC/line_dirichlet_neumannBC.prj b/Tests/Data/Parabolic/LiquidFlow/LineDirichletNeumannBC/line_dirichlet_neumannBC.prj
index 32215feca8bc8e92cc543beb41665ae65e11da7f..2016f5acafe6ce436d03e2ee44c7c6e4f8eef750 100644
--- a/Tests/Data/Parabolic/LiquidFlow/LineDirichletNeumannBC/line_dirichlet_neumannBC.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/LineDirichletNeumannBC/line_dirichlet_neumannBC.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/PressureBCatCornerOfAnisotropicSquare/pressureBC_at_corner_of_anisotropic_square.prj b/Tests/Data/Parabolic/LiquidFlow/PressureBCatCornerOfAnisotropicSquare/pressureBC_at_corner_of_anisotropic_square.prj
index 2bb9280ce73b2e0fe72f0dba15c013125ec52239..333e43b4d1ece20eb10211d3cf8a49f331171231 100644
--- a/Tests/Data/Parabolic/LiquidFlow/PressureBCatCornerOfAnisotropicSquare/pressureBC_at_corner_of_anisotropic_square.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/PressureBCatCornerOfAnisotropicSquare/pressureBC_at_corner_of_anisotropic_square.prj
@@ -19,24 +19,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousBoundaryConditions/TimeDependentHeterogeneousBoundaryConditions.prj b/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousBoundaryConditions/TimeDependentHeterogeneousBoundaryConditions.prj
index ac6fcf8c9d9f623f632058e15546e7fb683d9200..12e7a4cbef76be251f1fcbe02f8811580f0d45b2 100644
--- a/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousBoundaryConditions/TimeDependentHeterogeneousBoundaryConditions.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousBoundaryConditions/TimeDependentHeterogeneousBoundaryConditions.prj
@@ -22,24 +22,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 1e-5 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousSourceTerm/TimeDependentHeterogeneousSourceTerm.prj b/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousSourceTerm/TimeDependentHeterogeneousSourceTerm.prj
index 6baf5568af1f58f8d18b8403efe97c89958f8bf9..79539e050f5ff93a8a08cf28a38aa1594eb7218a 100644
--- a/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousSourceTerm/TimeDependentHeterogeneousSourceTerm.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeDependentHeterogeneousSourceTerm/TimeDependentHeterogeneousSourceTerm.prj
@@ -23,24 +23,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 1e-5 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj
index a87429ff52b1c41c2b7bb9ddb397afe551e5b97b..46272778aca9bab4a7159f0f793ea1d9b8f0c550 100644
--- a/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/TimeIntervalDirichletBC/TimeIntervalDirichletBC.prj
@@ -22,24 +22,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="v"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>kappa1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>constant_porosity_parameter</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <time_loop>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsource/h1_1Dsource.prj b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsource/h1_1Dsource.prj
index a6c53dd84fb56c180be0f152e9b1b8ee0b858e7e..2f8de77d52f3b3c9c572494f5f177a00c298951e 100755
--- a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsource/h1_1Dsource.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsource/h1_1Dsource.prj
@@ -17,38 +17,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="q"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>k1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                    <porous_medium id="1">
-                        <permeability>
-                            <permeability_tensor_entries>k2</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsteady/h1_1Dsteady.prj b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsteady/h1_1Dsteady.prj
index 83adfcb6289c6835580ead4019e6b9c8ea137934..d5c5c581c3b03121b877bef92703eee6184c4d0c 100755
--- a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsteady/h1_1Dsteady.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_1Dsteady/h1_1Dsteady.prj
@@ -17,24 +17,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="q"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>k</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_3Dhydstat/h1_3Dhydstat.prj b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_3Dhydstat/h1_3Dhydstat.prj
index b0300f0cf439b8e20ae9569c8e2b7fcd5750edb7..acf7e6dfb8ace7b8ede2d19bbc5b2395da5bd591 100755
--- a/Tests/Data/Parabolic/LiquidFlow/Verification/h1_3Dhydstat/h1_3Dhydstat.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Verification/h1_3Dhydstat/h1_3Dhydstat.prj
@@ -17,66 +17,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="q"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>k0</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi0</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                    <porous_medium id="1">
-                        <permeability>
-                            <permeability_tensor_entries>k1</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi1</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                    <porous_medium id="2">
-                        <permeability>
-                            <permeability_tensor_entries>k2</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi2</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                    <porous_medium id="3">
-                        <permeability>
-                            <permeability_tensor_entries>k3</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi3</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value> 0.0 </value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D1bt/h2_1D1bt.prj b/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D1bt/h2_1D1bt.prj
index f3594043231493e0ebcfec068ba6f680a77744b2..2e6fbfcaadec6deeafc8367538797a677dc251f3 100755
--- a/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D1bt/h2_1D1bt.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D1bt/h2_1D1bt.prj
@@ -17,24 +17,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="q"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>k</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value>2.5e-10</value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>
diff --git a/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D2bt/h2_1D2bt.prj b/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D2bt/h2_1D2bt.prj
index 1a2e468a53f459e6eeb69dfacce4b0fb5a18afc1..ff23ac02129157888a28aa97fbace7bd86439218 100755
--- a/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D2bt/h2_1D2bt.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/Verification/h2_1D2bt/h2_1D2bt.prj
@@ -17,38 +17,6 @@
             <secondary_variables>
                 <secondary_variable internal_name="darcy_velocity" output_name="q"/>
             </secondary_variables>
-            <material_property>
-                <porous_medium>
-                    <porous_medium id="0">
-                        <permeability>
-                            <permeability_tensor_entries>k</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value>4.0e-10</value>
-                        </storage>
-                    </porous_medium>
-                    <porous_medium id="1">
-                        <permeability>
-                            <permeability_tensor_entries>k</permeability_tensor_entries>
-                            <type>Constant</type>
-                        </permeability>
-                        <porosity>
-                            <type>Constant</type>
-                            <porosity_parameter>phi</porosity_parameter>
-                        </porosity>
-                        <storage>
-                            <type>Constant</type>
-                            <value>2.0e-10</value>
-                        </storage>
-                    </porous_medium>
-                </porous_medium>
-            </material_property>
         </process>
     </processes>
     <media>