The Generalized Reflection and Transmission Matrix Method for Wave Propagation in Stratified Fluid-Saturated Porous Media

The Generalized Reflection and Transmission Matrix Method for Wave Propagation in Stratified Fluid-Saturated Porous Media
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层状流体饱和多孔介质中波传播的广义反射和透射矩阵法

DOI:
10.1007/s11242-014-0271-1
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发表时间:
2014-01
影响因子:
2.7
通讯作者:
Ding, Boyang
Ding, Boyang
中科院分区:
工程技术3区
文献类型:
--
作者:
Zheng, Pei;Ding, Boyang

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本文提出了一种系统有效的波在层状饱和孔隙弹性半空间中的传播算法——广义反射透射矩阵法。该方法在高频率、大层厚情况下具有计算效率高、数值稳定性好的优点。利用矩张量概念,介绍了从单体力到双偶力的各种震源。为了验证所提出的算法,我们应用该公式计算了均匀孔隙弹性半空间中的波场。结果表明,用该方法计算的数值结果与解析解计算的结果吻合较好。给出了双偶源、偶极源和爆炸源作用下的双层模型的数值算例。从表面位移的波形可以清楚地观察到两层模型界面处透射和转换的psandspwave的到达。正如预期的那样,不可能从流体提取引起的波形中观察到透射波、透射波和转换波的到达。
A systematic and efficient algorithm, the generalized reflection and transmission matrix method, has been developed for wave propagation in stratified fluid-saturated poroelastic half-space. The proposed method has the advantage of computational efficiency and numerical stability for high frequencies and large layer thickness. A wide class of seismic sources, ranging from a single-body force to double couples, is introduced by utilizing the moment tensor concept. In order to validate the proposed algorithm, we applied our formulation to calculate wave fields in a homogeneous poroelastic half-space. It is shown that the numerical results computed with the present approach agree well with those computed with the analytical solution. Numerical examples for a two-layer model subjected to various sources such as double couple, dipole, and explosive sources are provided. From the waveforms of surface displacements, the arrivals of transmitted and convertedPSandSPwaves at the interface of the two-layer model can be clearly observed. As expected, it is impossible to observe the arrivals of transmittedand transmitted and convertedSPwaves from the waveforms induced by fluid withdrawal.
DOI: 10.26530/oapen_459524
发表时间: 1983-04
期刊: --
影响因子: --
作者:
B. Kennett
通讯作者: B. Kennett
DOI: 10.1111/j.1365-246x.2009.04116.x
发表时间: 2009-07
影响因子: 2.8
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DOI: 10.1785/gssrl.60.2.37
发表时间: 1989-04
影响因子: 3.3
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