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一阶弹性波方程的变网格高阶有限差分数值模拟

Variable-grid high-order finite-difference numeric simulation of first-order elastic wave equation

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【作者】 李振春张慧张华

【Author】 Li Zhen-chun1,Zhang Hui1 and Zhang Hua1.1.College of Earth Resource and Information,China University of Petroleum,Dongying City,Shandong Province,257061,China

【机构】 中国石油大学地球资源与信息学院

【摘要】 使用可变网格的有限差分法进行地震模拟有许多独特的优点,主要表现为对地质模型的离散化更为合理,在低速带和复杂构造区域,可将局部网格划分得相对精细些,不仅提高了模拟精度,消除了因采样不足导致的频散现象,而且可以减少计算机内存需求,保持模型计算的灵活性。本文提出一种新的基于高阶交错网格技术的弹性波数值模拟方法,通过改变网格的空间步长实现了局部网格加密技术,弥补了常规网格的缺陷和不足。试算结果表明,本文提出的算法稳定性较好,且能够提高模拟精度,减少计算时间,提高计算效率。

【Abstract】 Using variable-grid finite-difference algorithm to carry out the seismic simulation has many unique advantages that mainly are more reasonable for discretization of geologic model,and relatively fine division of local grid can be implemented in low-velocity zone and complex structural area,which not only improves the simulated precision and eliminates the dispersion resulted from insufficient sampling,but also can reduce the requirement of computer memory,keeping the flexibility of model computation.The paper presented a new elastic wave numeric simulation method based on high-order staggered-gird technique,which realized the technique densifying local grid by changing the spatial step of grid,remedying the defect and shortcoming of ordinary grid.The testing results showed that the algorithm presented by the paper is characterized by good stability,improved precision of simulation,reducing computational time and improving computational efficiency.

【基金】 国家973专题(2007CB209605);国家863专题(2006AA06Z206);CNPC物探重点实验室中国石油大学(华东)研究室资助
  • 【文献出处】 石油地球物理勘探 ,Oil Geophysical Prospecting , 编辑部邮箱 ,2008年06期
  • 【分类号】P631.4
  • 【被引频次】36
  • 【下载频次】525
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