基于BISQ高频极限方程的交错网格法数值模拟

Numerical simulation by staggered grid method for high frequency limited BISQ equation.

杨宽德 ,杨顶辉 ,王书强 .基于 BISQ高频极限方程的交错网格法数值模拟 .石油地球物理勘探 ,2 0 0 2 ,37(5 ) :4 6 3～ 4 6 8 BISQ方程是反映含流体多孔隙介质中 Biot流动和喷射流动共同作用下地震波和声波传播的最新研究成果。本文从多孔隙横向各向同性介质的 BISQ方程的高频极限方程出发 ,利用交错网格方法对横向各向同性孔隙介质中波的传播进行了数值模拟。结果表明 ,弹性波在横向各向同性多孔隙介质中传播时存在快拟 P波、慢拟 P波、拟 SH波和拟 SV波 ,同时出现横波分裂、波面尖角等现象 ,从而验证了 BISQ理论的正确性 ,并为进一步应用、研究奠定了基础。

BISQ equation is a latest studied result which describes the propagation of seismic and acoustic waves in porous medium with fluid under common action of Biot flow and squirt flow.Starting from the high frequency limited equation of BISQ equation in transversely isotropic porous medium,the paper numerically simulated the propagation in transversely isotropic porous medium by using staggered grid method.The results show that there exist fast quasi P wave,slow quasi P wave,quasi SH wave and quasi SV wave as well as also there appears the phenomenon of S wave splitting and acute wave plane when elastic wave propagates in the transversely isotropic porous medium,which show the correctness of BISQ theory and laid the foundation of further applied study.