基于横向各向同性BISQ模型的弹性波高阶交错网格有限差分数值模拟

 孔隙介质模型主要有Biot模型与BISQ模型。BISQ模型同时考虑了Biot流动与喷射流动,能够获得比Biot理论更为准确的结果。弹性波数值模拟有利于认识波的传播特性与过程，而采用高阶交错网格有限差分法数值模拟的空间频散性比低阶差分法小。本文从BISQ模型弹性波的本构方程和运动方程出发，推导出了基于横向各向同性BISQ模型的弹性波高阶交错网格有限差分算法，还进行了数值模拟。通过调整差分阶数、频率以及黏滞系数，研究了兼顾两种流动机制时弹性波的传播特性，并分析了BISQ模型下弹性波的透射与反射。

Elastic wave high-order staggering grid finite-difference numeric simulation based on transversely isotropic BISQ Model

The models of porous medium are mainly Biot model and BISQ model.The BISQ model considers simultaneously the Biot fluid and jet fluid,which can obtain more accurate results than the Biot theory.The elastic wave numeric simulation is suitable to know the characters and process of wave propagation,and the dispersion by using high-order staggering grid finite-difference numeric simulation is smaller than that in low-order difference.Starting from constitutive equations and kinematical equations of elastic wave in BISQ model,the paper deduced elastic wave high-order staggering grid finite-difference algorithm based on transversely isotropic BISQ model and carried out the numeric simulation.The propagation characters of elastic wave in two fluid mechanism were studied by adjusting difference order,frequency and viscoelastic parameters,and the transmission and reflection of elastic wave in BISQ model were also studied.