| 横向各向同性(VTI)介质中非线性地震波场模拟 |
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| 引用本文： | 郑海山,张中杰.横向各向同性(VTI)介质中非线性地震波场模拟[J].地球物理学报,2005,48(3):660-671. |
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| 作者姓名： | 郑海山 张中杰 |
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| 作者单位： | 中国科学院地质与地球物理研究所，北京 100029 |
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| 基金项目： | 国家 973项目 (2 0 0 2CB412 60 4)，国家自然科学基金项目 (4 0 4740 3 4)联合资助 |
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| 摘 要： | 数值计算方法是考察非线性弹性波在介质中（如岩石）传播特征的重要手段.非线性弹性波的数值模拟存在陡峭间断面（点）、数值振荡以及误差的指数级增长等现象而破坏数值解的稳定性、收敛性，能否消减上述现象的不利影响成为制约数值方法有效与否的重要因素.文中同时引入了FCT算子和幅值限制器，采用中心差分格式对具有垂直对称轴的横向各向同性（VTI）介质中的二维非线性弹性波进行数值模拟，从而克服了上述困难；介绍了适用于非线性弹性波的吸收边界条件，给出了差分方程的稳定性条件.在验证了方法的有效性后成功地获取了二维VTI介质中非线性弹性波的三分量地震正演记录，表明非线性波在传播过程中会发生波形畸变等现象.
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| 关 键 词： | 非线性地震波 VTI介质 FCT算子 幅值限制器 合成记录 |
| 文章编号： | 0001-5733(2005)03-0660-12 |
| 收稿时间： | 2003-08-19 |
| 修稿时间： | 2004-12-31 |
Synthetic seismograms of nonlinear seismic waves in anisotropic(VTI)media |
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| ZHENG Hai-Shan,Zhang Zhong-jie.Synthetic seismograms of nonlinear seismic waves in anisotropic(VTI)media[J].Chinese Journal of Geophysics,2005,48(3):660-671. |
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| Authors: | ZHENG Hai-Shan Zhang Zhong-jie |
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| Institution: | Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029,China |
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| Abstract: | Numerical methods are the most important ways to study nonlinear wave propagation in solid. However, numerical modeling for nonlinear seismic waves is faced with problems such as steep gradients, shocks and unphysical oscillations. Accordingly, some special treatments have been presented to solve these problems. However, in our knowledge, there is no effective method to overcome these problems by far. In this paper, we report a second order central finite difference (FD) scheme based on a modified flux-corrected transport (FCT) technique, for short, we called it MFCTFD. We present the stability criterion of this algorithm, and the modified absorbing boundary conditions which are suitable to the nonlinear seismic waves. With numerical experiments we testify the validity of this numerical method, and achieve the synthetic seismograms of nonlinear seismic waves with three components in two-dimensional transverse isotropic (with vertical symmetry axis) solid media. The result shows that waveform distortion will occur during the process of nonlinear wave propagation. |
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| Keywords: | Nonlinear seismic wave VTI medium Modified FCT technique Synthetic seismogram |
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