| 各向异性双相介质弹性波场褶积算法数值模拟 |
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| 引用本文： | 宫猛,李信富.各向异性双相介质弹性波场褶积算法数值模拟[J].西北地震学报,2011,33(4):313-318. |
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| 作者姓名： | 宫猛 李信富 |
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| 作者单位： | 中国地质大学(北京)地球物理与信息技术学院,北京,100083 |
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| 基金项目： | 国家自然科学基金青年基金项目(40804008) |
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| 摘 要： | 从各向同性介质中波场数值模拟的褶积微分算子法出发,推导出了各向异性双相介质中波场传播数值计算的褶积新算法.将常见的二阶微分Biot波动方程用等效的一阶速度—应力双曲方程表示,其中未知的波场向量包括固相和流体的速度分量和应力分量,由此对方程的时间项使用交错网格差分方法计算,而对空间项则采用褶积微分算法进行求解.对各向异性双相介质在单层介质模型和双层介质模型中的波场特征进行了研究.研究的结果显示,在两层介质分界面上当地震波产生反射时能观测到两类纵波和横波,并且在衰减系数大的介质里慢纵波很难见到.
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| 关 键 词： | 各向异性介质 弹性波 数值模拟 褶积微分算子 |
Numerical Simulation of Elastic Wave Propagation in Heterogeneous Two-phase Media with Convolutional Differentiator Method |
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| GONG?Meng and LI?Xin-fu.Numerical Simulation of Elastic Wave Propagation in Heterogeneous Two-phase Media with Convolutional Differentiator Method[J].Northwestern Seismological Journal,2011,33(4):313-318. |
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| Authors: | GONG?Meng and LI?Xin-fu |
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| Institution: | GONG Meng,LI Xin-fu(School of Geophysics and Information Technology,China University of Geosciences,Beijing 100083,China) |
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| Abstract: | A new numerical simulation method with convolutional algorithm for elastic waves propagation in heterogeneous two-phase media is derived from the convolutional differential simulation for the propagation in homogeneous media,and the second-order Biot wave equation is expressed as first-order velocity-stress hyperbolic equations,in which the unknown wavefield vectors are velocity and stress components in both fluid and solid phases.The temporal term in the wave equation is computed by stager-grid finite diff... |
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| Keywords: | Heterogeneous media Elastic wave Numerical simulation Convolutional differentiator |
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