| 双相各向异性介质中偶数阶精度有限差分数值模拟 |
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| 引用本文： | 刘洋,魏修成.双相各向异性介质中偶数阶精度有限差分数值模拟[J].应用地球物理,2008,5(2):107-114. |
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| 作者姓名： | 刘洋 魏修成 |
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| 作者单位： | 中国石油大学(北京)油气资源与探测国家重点实验室，中国石化石油勘探开发研究院 北京 102249 中国石油大学(北京)CNPC 物探重点实验室，北京，102249，北京，100083 |
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| 摘 要： | To improve the accuracy of the conventional finite-difference method, finitedifference numerical modeling methods of any even-order accuracy are recommended. We introduce any even-order accuracy difference schemes of any-order derivatives derived from Taylor series expansion. Then, a finite-difference numerical modeling method with any evenorder accuracy is utilized to simulate seismic wave propagation in two-phase anisotropic media. Results indicate that modeling accuracy improves with the increase of difference accuracy order number. It is essential to find the optimal order number, grid size, and time step to balance modeling precision and computational complexity. Four kinds of waves, static mode in the source point, SV wave cusps, reflection and transmission waves are observed in two-phase anisotropic media through modeling.
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| 关 键 词： | 双相各向异性 有限差分 任意偶数阶精度 数值模拟 波动方程 |
| 修稿时间： | 2008年3月17日 |
Finite-difference numerical modeling with even-order accuracy in two-phase anisotropic media |
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| Liu?Yang,Wei?Xiucheng.Finite-difference numerical modeling with even-order accuracy in two-phase anisotropic media[J].Applied Geophysics,2008,5(2):107-114. |
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| Authors: | Liu Yang Wei Xiucheng |
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| Institution: | (1) State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum (Beijing), Beijing, 102249, China;(2) CNPC Key Laboratory of Geophysical Exploration, China University of Petroleum (Beijing), Beijing, 102249, China;(3) Exploration and Production Research Institute of SINOPEC, Beijing, 100083, China |
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| Abstract: | To improve the accuracy of the conventional finite-difference method,finite- difference numerical modeling methods of any even-order accuracy are recommended.We introduce any even-order accuracy difference schemes of any-order derivatives derived from Taylor series expansion.Then,a finite-difference numerical modeling method with any even- order accuracy is utilized to simulate seismic wave propagation in two-phase anisotropic media.Results indicate that modeling accuracy improves with the increase of difference accuracy order number.It is essential to find the optimal order number,grid size,and time step to balance modeling precision and computational complexity.Four kinds of waves,static mode in the source point,SV wave cusps,reflection and transmission waves are observed in two-phase anisotropic media through modeling. |
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| Keywords: | two-phase anisotropy finite-difference any even-order accuracy numerical modeling wave equations |
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