diff --git a/Tests/Data/Parabolic/HT/ConstViscosity/square_5500x5500.prj b/Tests/Data/Parabolic/HT/ConstViscosity/square_5500x5500.prj
index 70a8364d366569831d9013dcfe78a67e213d9ce5..33c9bfe7bca4bbb0f351674959ff31436d432cf9 100644
--- a/Tests/Data/Parabolic/HT/ConstViscosity/square_5500x5500.prj
+++ b/Tests/Data/Parabolic/HT/ConstViscosity/square_5500x5500.prj
@@ -69,6 +69,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolic.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolic.prj
index fad47703a85eefe381ac7df94e53abc6ae583a55..d55c01dc911acbd6acba7e750ceecdb04eee8048 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolic.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolic.prj
@@ -64,6 +64,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-8 0 0 1.e-8</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolicStaggered.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolicStaggered.prj
index 290a024f11b727c5146675ef66c6a3db45632a60..f48cec3dd1f36aaa19745076ba7eda912a8e0e2d 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolicStaggered.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/CoupledPressureParabolicTemperatureParabolicStaggered.prj
@@ -65,6 +65,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-8 0 0 1.e-8</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlow.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlow.prj
index e3dbbea86dfa42f294e103ee1a8b82e00925678e..6db0ade5e729430a5c2b8d3e8b5491627c39af9a 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlow.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlow.prj
@@ -64,6 +64,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowStaggered.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowStaggered.prj
index 3c2a2346d28fa3cf8509c0a42b0d3354ea69eadf..81409cb3f7337e392b03083daf1096fe1b674dc8 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowStaggered.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowStaggered.prj
@@ -65,6 +65,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravity.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravity.prj
index ddc26c69085f25ee26f68d0d6f050cbd6de70f5e..3f26797a51099eceb7be529a480d645eb65537e0 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravity.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravity.prj
@@ -64,6 +64,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravityStaggered.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravityStaggered.prj
index 11a3d6b86cf760f5121a0639640aea3cb0400696..484c47ca538e544fe0a4334a37d5bf4b279a5f23 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravityStaggered.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/IsothermalFluidFlowWithGravityStaggered.prj
@@ -65,6 +65,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusion.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusion.prj
index dafbb6d9a1488a18076a6dcbbc5b070613c39c35..b5f5460e3016e8bca895c536793f8edfe2245a91 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusion.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusion.prj
@@ -64,6 +64,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusionStaggered.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusionStaggered.prj
index 14cbe5a8dada9df91802e2dcb25d5d25004325f4..b1c9cd97907b093ea9ef994bfa93b7ec3805f212 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusionStaggered.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureDiffusionTemperatureDiffusionStaggered.prj
@@ -65,6 +65,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolic.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolic.prj
index 75679e31c7c1734eeac4c4c9fb9fea66774c6636..6a0c210a68f2c7b825448f9ab3d788da6160ab65 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolic.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolic.prj
@@ -64,6 +64,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-8 0 0 1.e-8</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolicStaggered.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolicStaggered.prj
index 740c83759838bea2834d2f253cc70e4911479608..7806994eb942a8ce437d328bb5e9d53a072d5ca5 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolicStaggered.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/PressureParabolicTemperatureParabolicStaggered.prj
@@ -65,6 +65,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-8 0 0 1.e-8</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e3.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e3.prj
index e3224da1cf7b50dae1fe178182c3b74629188c30..b520a8704cf3f18cdec27bc23a55693bd1bec141 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e3.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e3.prj
@@ -73,6 +73,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 0 1.e-14 0 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e4.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e4.prj
index 1f1f0e68e11172571f5d1ec5685f4bf38f895278..3e15200f3c371324a92eb634c9bb2b7201fe8ddd 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e4.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/calculatesurfaceflux_ht_cube_1e4.prj
@@ -78,6 +78,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 0 1.e-14 0 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/SimpleSynthetics/constraint_bc_1e3.prj b/Tests/Data/Parabolic/HT/SimpleSynthetics/constraint_bc_1e3.prj
index 632b7afd2da2169e173db71e7f8341b68ae2a3e5..fef37d6c6aa2e37175717b0c04aece330f462be5 100644
--- a/Tests/Data/Parabolic/HT/SimpleSynthetics/constraint_bc_1e3.prj
+++ b/Tests/Data/Parabolic/HT/SimpleSynthetics/constraint_bc_1e3.prj
@@ -69,6 +69,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 0 1.e-14 0 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/StaggeredCoupling/ADecovalexTHMCBasedHTExample/th_decovalex.prj b/Tests/Data/Parabolic/HT/StaggeredCoupling/ADecovalexTHMCBasedHTExample/th_decovalex.prj
index 8c022b3e860363daaa2f62acb972191976d03100..aa02def7fd4ee48f753f83c509621344f0154f31 100644
--- a/Tests/Data/Parabolic/HT/StaggeredCoupling/ADecovalexTHMCBasedHTExample/th_decovalex.prj
+++ b/Tests/Data/Parabolic/HT/StaggeredCoupling/ADecovalexTHMCBasedHTExample/th_decovalex.prj
@@ -85,6 +85,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>6.3072e-14 0. 0. 6.3072e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
@@ -132,6 +142,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>3.1536e-10 0. 0. 3.1536e-10</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme.prj b/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme.prj
index 8814a03b883109250d7655b2c1ba766c06b17246..dc664c311b500a508081087a81337bd5b8f1e141 100644
--- a/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme.prj
+++ b/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme.prj
@@ -70,6 +70,16 @@
</property>
</properties>
</phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>
diff --git a/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme_adaptive_dt.prj b/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme_adaptive_dt.prj
index c805d7adceef79579c122056790169244139c02b..22ee5f5fdf48d4dfdd8ff95d249be96e27dfb8b3 100644
--- a/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme_adaptive_dt.prj
+++ b/Tests/Data/Parabolic/HT/StaggeredCoupling/ConstViscosity/square_5500x5500_staggered_scheme_adaptive_dt.prj
@@ -71,6 +71,15 @@
</properties>
</phase>
<phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1.e-14 0 0 1.e-14</value>
+ </property>
+ </properties>
+ </phase>
</phases>
<properties>
<property>