diff --git a/applications/GeoMechanicsApplication/custom_processes/README.md b/applications/GeoMechanicsApplication/custom_processes/README.md index 808729de488..c7d3b681dd0 100644 --- a/applications/GeoMechanicsApplication/custom_processes/README.md +++ b/applications/GeoMechanicsApplication/custom_processes/README.md @@ -89,11 +89,19 @@ When the overconsolidation ratio ("OCR") and optionally the unloading-reloading $$K_0 = OCR.K_0^{nc} + \frac{\nu_{ur}}{1 - \nu_{ur}} ( OCR - 1 )$$ -![Initial effective stress tensor](initial_effective_stress_tensor.png) +```math +\sigma^{'}_{initial} = \begin{bmatrix} {K_0 \sigma^{'}_{zz}} & 0 & 0 \\ + 0 & {K_0 \sigma^{'}_{zz}} & 0 \\ + 0 & 0 & {\sigma^{'}_{zz}} \end{bmatrix} +``` Alternatively, when the pre-overburden pressure "POP" is specified, the initial stress tensor becomes: -![Initial effective stress tensor with POP](initial_effective_stress_tensor_with_POP.png) +```math +\sigma^{'}_{initial} = \begin{bmatrix} {K_0^{nc} (\sigma^{'}_{zz} + POP )} - \frac{\nu_{ur}}{1 - \nu_{ur}} POP & 0 & 0 \\ + 0 & {K_0^{nc} (\sigma^{'}_{zz} + POP)} - \frac{\nu_{ur}}{1 - \nu_{ur}} POP & 0 \\ + 0 & 0 & {\sigma^{'}_{zz}} \end{bmatrix} +``` When the optional unloading-reloading Poisson's ratio is omitted, a default value $\nu_{ur} = 0$ is used such that the correction term drops to 0. diff --git a/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor.png b/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor.png deleted file mode 100644 index 76ef4f9bafc..00000000000 Binary files a/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor.png and /dev/null differ diff --git a/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor_with_POP.png b/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor_with_POP.png deleted file mode 100644 index 6f9650b372d..00000000000 Binary files a/applications/GeoMechanicsApplication/custom_processes/initial_effective_stress_tensor_with_POP.png and /dev/null differ