Generalization of Gassmann equations for porous media saturated with a solid material

摘要: Gassmann equations predict effective elastic properties of an isotropic homogeneous bulk rock frame filled with a fluid. This theory has been generalized for anisotropic porous by Brown and Korringa’s equations. Here, we develop new model rocks — generalization solid infill the pore space. We derive tensor solid-saturated considering small deformations skeleton material upon loading them confining pore-space stresses. In case material, solution reduces to two shear moduli. The applicability is tested independent numerical simulations performed on microscale finite-difference finite-element methods. results show very good agreement between simulations. Gass-mann intro...