Last, Based on the average stress and strain relations between the anisotropic porous medium and its anisotropic or isotropic constituents, the constituent equation of effective elastic matrix and constituent elastic matrices, and the constituent equations of effective elastic moduli and constituent elastic moduli of the anisotropic constituent model are derived along with a discussion about the weighting pattern of elastic moduli. The correspondence principle between elastic and viscoelastic isotropic constituent porous medium model is derived on the basis of analyses of the Kelvin medium model, and then the constitutive equation and the constituent equations of elastic moduli, and constituent expressions of phase velocity, attenuation coefficient and quality factor are obtained with the aid of this principle.
最后，基于各向异性应力和应变组分关系方程，推导各向异性组分孔隙介质模型的弹性矩阵和弹性模量组分关系方程，并对弹性模量组分加权模式进行分析；参照Kelvin介质，提出弹性与黏弹性各向同性组分孔隙介质模型的对应规则，推导出黏弹性各向同性双相组分孔隙介质模型的本构方程和弹性模量组分关系方程，并讨论相速度、衰减因数和品质因子的组分表述。