diff --git a/test/tests/bcs/seismic_displacement/gold/seismic_displacement_out.e b/test/tests/bcs/seismic_displacement/gold/seismic_displacement_out.e
index 4ab97d67c9..6b2e348ca2 100755
Binary files a/test/tests/bcs/seismic_displacement/gold/seismic_displacement_out.e and b/test/tests/bcs/seismic_displacement/gold/seismic_displacement_out.e differ
diff --git a/test/tests/bcs/seismic_displacement/seismic_displacement.i b/test/tests/bcs/seismic_displacement/seismic_displacement.i
index f8127d612d..2896e2736e 100755
--- a/test/tests/bcs/seismic_displacement/seismic_displacement.i
+++ b/test/tests/bcs/seismic_displacement/seismic_displacement.i
@@ -148,7 +148,7 @@
   start_time = 0
   end_time = 2.0
   l_tol = 1e-12
-  nl_abs_tol = 1e-12
+  nl_rel_tol = 1e-13
   dt = 0.01
   timestep_tolerance = 1e-12
 []
diff --git a/test/tests/bcs/seismic_force/gold/seismic_force_test_z_out.e b/test/tests/bcs/seismic_force/gold/seismic_force_test_z_out.e
index d7a8e983dd..6e5ef5fe15 100644
Binary files a/test/tests/bcs/seismic_force/gold/seismic_force_test_z_out.e and b/test/tests/bcs/seismic_force/gold/seismic_force_test_z_out.e differ
diff --git a/test/tests/bcs/seismic_force/seismic_force_test_z.i b/test/tests/bcs/seismic_force/seismic_force_test_z.i
index 64ad007e5b..c3dbfe299d 100755
--- a/test/tests/bcs/seismic_force/seismic_force_test_z.i
+++ b/test/tests/bcs/seismic_force/seismic_force_test_z.i
@@ -240,9 +240,7 @@
 [Executioner]
   type = Transient
   solve_type = PJFNK
-  nl_abs_tol = 1e-12
-  nl_rel_tol = 1e-12
-  l_tol = 1e-12
+  nl_rel_tol = 1e-13
   start_time = 0
   end_time = 2.5625
   dt = 0.01