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基于横向各向同性BISQ方程的弹性波传播数值模拟
引用本文:杨宽德,杨顶辉,王书强.基于横向各向同性BISQ方程的弹性波传播数值模拟[J].地震学报,2002,24(6):599-606.
作者姓名:杨宽德  杨顶辉  王书强
作者单位:1) 中国北京100084清华大学数学科学系 2) 中国云南蒙自市 661100 蒙自师范高等专科学校
基金项目:国家自然科学基金(40174012),中国石油天然气集团公司物探重点实验室开放基金(GPKL01104)共同资助项目.
摘    要:Biot流动和喷射流动是含流体多孔隙介质中流体流动的两种重要力学机制. 近年来,利用同时处理这两种力学机制的BISQ(Biot-Squirt)模型,弹性波衰减和频散的问题已被广泛研究;然而基于BISQ方程的波场数值模拟尚未见到公开的报道.本文从BISQ方程出发,利用交错网格方法对横向各向同性孔隙介质中不同频率和相界情况,以及双层介质中的弹性波传播进行数值模拟,研究了在同时考虑两种流动机制作用情况下地震波和声波的传播特性及传播过程中出现的各种波动现象. 

关 键 词:BISQ方程  波场模拟  横向各向同性  交错网格法
文章编号:0253-3782(2002)06-0599-08
修稿时间:2002年1月6日

NUMERICAL SIMULATION OF ELASTIC WAVE PROPAGATION BASED ON THE TRANSVERSELY ISOTROPIC BISQ EQUATION
Yang Kuande, Yang Dinghui Wang Shuqiang.NUMERICAL SIMULATION OF ELASTIC WAVE PROPAGATION BASED ON THE TRANSVERSELY ISOTROPIC BISQ EQUATION[J].Acta Seismologica Sinica,2002,24(6):599-606.
Authors:Yang Kuande  Yang Dinghui Wang Shuqiang
Institution:Yang Kuande1,2) Yang Dinghui1) Wang Shuqiang1) 1) Department of mathematical sciences,Tsinghua University,Beijing 100084,China 2) Mengzi Teacher's College,Mengzi,Yunnan 661100,China
Abstract:The Biot and squirt-flow are the two most important mechanisms of fluid flow in the porous medium with fluids. Based on the BISQ (Biot-Squirt) model where the two mechanisms are treated simultaneously, dispersion and attenuation of elastic waves in the porous medium are widely investigated in recent years. However, no numerical simulation based on the BISQ equation has been reported yet. In this paper, following the BISQ equation, elastic wave propagation in the transversely isotropic porous medium filled with fluids is simulated by the staggered grid method for different frequency and phase boundary cases and the two-layer medium. And propagating characteristics of seismic and acoustic waves and various phenomena occurred in the propagating process are investigated when the two mechanisms are considered simultaneously.
Keywords:BISQ equation  wave-fields simulation  transversely isotropic medium  staggered grid method
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