diff --git a/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj b/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
index 8379c4333baedb664f33716b9baa672b6de79ebd..e5686087b9e10b8465255a132f91bfb09fc0a28f 100644
--- a/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
+++ b/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
@@ -318,14 +318,14 @@
         <vtkdiff>
             <regex>orthotropic_swelling_xy_ts_.*.vtu</regex>
             <field>pressure</field>
-            <absolute_tolerance>1e-15</absolute_tolerance>
+            <absolute_tolerance>2e-15</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <regex>orthotropic_swelling_xy_ts_.*.vtu</regex>
             <field>saturation</field>
-            <absolute_tolerance>4e-15</absolute_tolerance>
-            <relative_tolerance>4e-15</relative_tolerance>
+            <absolute_tolerance>2e-14</absolute_tolerance>
+            <relative_tolerance>4.3e-15</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <regex>orthotropic_swelling_xy_ts_.*.vtu</regex>
diff --git a/Tests/Data/RichardsMechanics/orthotropic_swelling_xyz.prj b/Tests/Data/RichardsMechanics/orthotropic_swelling_xyz.prj
index 4240332141dfa20c0b28a5de70e43818fb66a2bc..084b178dc1b0ac91581f78d300ec33d50b86b648 100644
--- a/Tests/Data/RichardsMechanics/orthotropic_swelling_xyz.prj
+++ b/Tests/Data/RichardsMechanics/orthotropic_swelling_xyz.prj
@@ -353,7 +353,7 @@
         <vtkdiff>
             <regex>orthotropic_swelling_xyz_ts_.*.vtu</regex>
             <field>pressure</field>
-            <absolute_tolerance>1e-15</absolute_tolerance>
+            <absolute_tolerance>2e-14</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>