各向异性液体饱和孔隙岩石中波的传播与衰减

PROPAGATION AND ATTENUATION OF WAVES IN ANISOTROPIC FLUID-SATURATED POROUS ROCK

基于孔隙介质的Ｂｉｏｔ理论，推出了横向各向同性液体饱和孔隙岩石中平面波传播的特征方程，获得了四种波：第一准纵波（ＱＰ１）、第二准纵波（ＱＰ２）、准横波（ＱＳＶ）和反平面横波（ＳＨ）的传播速度及衰减系数的解析表达式，并给出了频散曲线和衰减曲线的数值结果。最后还讨论了各类准体波位移之间的耦合关系。

Based on the Biot's theory for fluid-saturated porous media,the characteristic equations of the plane waves propagating in transversely isotropic porous rock are derived.The analytic solution for velocities and attenuations of four waves:the first and second quasi-longitudinal waves(QP1 and QP2),the quasi-transverse wave(QSV) and the antiplane transverse wave(SH) is obtained.The curves of dispersion and attenuation are illustrated.Finally,the coupling relations between three quasi-body waves are discussed.