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三维各向同性介质弹性波方程交错网格高阶有限差分法模拟 被引量:42
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作者 裴正林 《石油物探》 EI CSCD 2005年第4期308-315,共8页
给出了三维各向同性介质中一阶应力-速度弹性波方程交错网格任意偶数阶精度有限差分格式,推导出了三维各向同性弹性介质完全匹配层吸收边界条件公式和相应的交错网格高阶有限差分格式。对三维French 模型进行了弹性波模拟,结果表明,该... 给出了三维各向同性介质中一阶应力-速度弹性波方程交错网格任意偶数阶精度有限差分格式,推导出了三维各向同性弹性介质完全匹配层吸收边界条件公式和相应的交错网格高阶有限差分格式。对三维French 模型进行了弹性波模拟,结果表明,该方法模拟精度高,边界吸收效果好。在三维French模型的xoz平面和yoz 平面的弹性波场快照中可以见到断面反射波、侧面反射波和散射波等波场特征。多次侧面反射波和多次散射波说明不同三维构造所形成的波场是相互影响的。 展开更多
关键词 三维各向同性介质 弹性波 交错网格 高阶有限差分 完全匹配层吸收边界条件
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3D numerical simulation in acoustic-elastic coupled media with staggered-grid finite-difference method
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作者 PENG Changhua WANG Deli ZHOU Jinju 《Global Geology》 2019年第2期112-120,共9页
Acoustic-elastic coupled media is often encountered in most marine explorations, and accurate simulation of acoustic-elastic coupled media is of great significance. At present, the study of acoustic-elastic coupled me... Acoustic-elastic coupled media is often encountered in most marine explorations, and accurate simulation of acoustic-elastic coupled media is of great significance. At present, the study of acoustic-elastic coupled media still assumes that the solid of the acoustic-elastic coupled media is isotropic, but this assumption is not in accordance with the actual situation. In this paper, we derive the solid media of acoustic-elastic coupled media from isotropic media to anisotropic media, and propose an acoustic-elastic coupled medium based ontransverse isotropic media with vertical symmetric axes(VTI) to improve the accuracy of forward modeling. Based on the relationship between the Thomsen parameter and the coefficient matrix of the anisotropic elastic wave equation, we transform the Thomson parameter into a velocity model with anisotropic properties. We use a staggered grid finite difference method to simulate the propagation of a wavefield in a three-dimensional acoustic-elastic coupled media. We obtain the snapshots of the wave field when the solid of the acoustic-elastic coupled media is an isotropic medium and a VTI media. When the solid of the acoustic-elastic coupled media is considered VTI media, we can observe the qP wave and qS wave that cannot be observed in the isotropic medium from the wave field snapshot. We can also find that the seismic records obtained by the method we use are more realistic. The algorithm proposed in this paper is of great significance for high-precision ocean numerical simulation. 展开更多
关键词 finite difference method staggered grid FORWARD modeling 3D acoustic-elastic COUPLED media transversely isotropic medium
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