No, there should not be a difference. The geostatic stress at a given depth can be decomposed onto hydrostatic and deviatoric parts. In the limit of small elastic deformation, pure deviatoric stress does not change the volume of the pores, therefore, it can not induce any additional pore pressure. Therefore, pore pressure should be equilibrated by the hydrostatic stress, which means they should be identical.
Dear Dr. @Igor Ostanin,
Thank you.
But can you also answer the mentioned question for a large strain problem, please?
Thanks in advance.
If we still talk about soil mechanics, I do not think we need to consider the large strain complications.
However, beyond typical soil mechanics, there are evident situations when the pore pressure may be different from hydrostatic stress. For example, the situation with isolated cavities within the elastic body, filled with liquid under pressure that is not related to any external stress.
Under static condition, as long no seepage or no loading/unloading, the pwp and hyd is the same.
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