| 横向各向同性介质紧致交错网格有限差分波场模拟(英文) |
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| 引用本文： | 杜启振,李宾,侯波. 横向各向同性介质紧致交错网格有限差分波场模拟(英文)[J]. 应用地球物理, 2009, 6(1): 42-49. DOI: 10.1007/s11770-009-0008-z |
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| 作者姓名： | 杜启振 李宾 侯波 |
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| 作者单位： | [1]中国石油大学（华东）地球资源与信息学院,山东东营 257061 [2]中国石油大学（北京）中国石油天然气集团公司物探重点实验室,北京昌平102200 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，the Open Fund of the Key Laboratory of Geophysical Exploration of CNPC，the Graduate Student Innovation Fund of China University of Petroleum (East China)，the Program for New Century Excellent Talents in University |
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| 摘 要： | 针对有限差分数值模拟的频散问题，本文将交错网格技术和紧致差分格式相结合，推导了横向各向同性介质一阶速度一应力波动方程的紧致交错网格差分格式；对比分析了紧致交错网格差分格式、交错网格差分格式以及紧致差分格式的截断误差主项，并利用Fourier误差分析方法分析了上述三种差分格式的近似精度；在此基础上，分别采用上述三种差分格式进行了波场数值模拟。结果表明，当差分方程阶数相同时，紧致交错网格差分格式截断误差最小，数值频散最弱，差分精度最高，证实了该方法的有效性。
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| 关 键 词： | 横向各向同性介质 紧致交错网格 一阶速度-应力波动方程 数值频散 波场模拟 |
Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme |
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| Qizhen Du,Bin Li,Bo Hou. Numerical modeling of seismic wavefields in transversely isotropic media with a compact staggered-grid finite difference scheme[J]. Applied Geophysics, 2009, 6(1): 42-49. DOI: 10.1007/s11770-009-0008-z |
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| Authors: | Qizhen Du Bin Li Bo Hou |
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| Affiliation: | (1) School of Earth Resource and information, China University of petroleum (East China), Dongying, 257061, China;(2) CNPC Key Laboratory of Geophysical Exploration, China University of petroleum (Beijing), Beijing, 102202, China |
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| Abstract: | To deal with the numerical dispersion problem, by combining the staggered-grid technology with the compact finite difference scheme, we derive a compact staggered-grid finite difference scheme from the first-order velocity-stress wave equations for the transversely isotropic media. Comparing the principal truncation error terms of the compact staggered-grid finite difference scheme, the staggered-grid finite difference scheme, and the compact finite difference scheme, we analyze the approximation accuracy of these three schemes using Fourier analysis. Finally, seismic wave numerical simulation in transversely isotropic (VTI) media is performed using the three schemes. The results indicate that the compact staggered-grid finite difference scheme has the smallest truncation error, the highest accuracy, and the weakest numerical dispersion among the three schemes. In summary, the numerical modeling shows the validity of the compact staggered-grid finite difference scheme. |
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| Keywords: | transversely isotropic medium compact staggered-grid the first-order velocity-stress wave equations numerical dispersion wave field simulation |
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