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Numerical simulation of elastic wave propagation based on the transversely isotropic BISQ equation
作者姓名:杨宽德  杨顶辉  王书强
作者单位:DepartmentofMathematicalSciences,TsinghuaUniversity,DepartmentofMathematicalSciences,TsinghuaUniversity,DepartmentofMathematicalSciences,TsinghuaUniversity Beijing100084,China,MengziTeacher'sCollege,Mengzi,Yunnan,661100,China,Beijing100084,China,Beijing100084,China
基金项目:State Natural Sciences Foundation of China (No. 40174012) and the Key Laboratory Foundation of the CNPC (No. GPKL0104).
摘    要:Introduction More real models are being developed by the modern seismology. As we all know, the earth is not a simple elastic body. Oil and gas reservoir, ground surface, seashore zone, sea bottom layer, etc, are porous solid media with fluids. It has been confirmed that there are two main fluid flow mechanisms in these media (Dvorkin, Nur, 1993), i.e., the Biot flow mechanism (Biot, 1956, 1962) based on the macroscopic property and the Squirt-flow mechanism (Mavko, Nur, 1979) based on the …

收稿时间:6 January 2002
修稿时间:8 April 2002

Numerical simulation of elastic wave propagation based on the transversely isotropic BISQ equation
Yang Kuan-de , Yang Ding-hui and Wang Shu-qiang.Numerical simulation of elastic wave propagation based on the transversely isotropic BISQ equation[J].Acta Seismologica Sinica(English Edition),2002,15(6):628-635.
Authors:Yang Kuan-de  Yang Ding-hui and Wang Shu-qiang
Institution:1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;Mengzi Teacher's College, Mengzi, Yunnan, 661100, China;Mengzi Teacher's College.Mengzi,Yunnan,661100,China
2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, 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, we have not read any reports on numerical simulation based on the BISQ equation. In this paper, following the BISQ equation, elastic wave propagation in the transversely isotropic porous medium filled with fluids is simulated by the stag-gered 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 occured in the propagating process are in-vestigated when the two mechanisms are considered simultaneously.
Keywords:BISQ equation  wave-fields simulation  transversely isotropic medium  staggered grid method
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