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一阶弹性波方程交错网格高阶差分解法
引用本文:董良国,马在田,曹景忠,王华忠,耿建华,雷兵,许世勇.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411-419.
作者姓名:董良国  马在田  曹景忠  王华忠  耿建华  雷兵  许世勇
作者单位:同济大学教育部海洋地质重点实验室,上海,200092
基金项目:教育部重点科技基金项目和海洋 863-820主题青年基金项目
摘    要:提高计算精度和运算效率是所有波场正演方法所追求的目标,本文通过将速度 (应力)对时间的奇数阶高阶寻数转化为应力(速度)对空间的导数,运用时间和空间差分精度 均可达任意阶的高阶差分法,通过交错网格技术,对一阶速度-应力弹性波方程进行了数值求 解.波场快照以及实际模型的正演结果表明,这种求解一阶弹性波方程的高阶差分解法,和 常规的差分法相比网格频散显著减小,精度明显提高,而且可以取较大的空间步长,提高计算 效率。

关 键 词:弹性波方程  横向各向同性  高阶差分  交错网格  吸收边界条件.
文章编号:0001-5733(2000)03-0411-09
修稿时间:1999年2月23日

A STAGGERED-GRID HIGH-ORDER DIFFERENCE METHOD OF ONE-ORDER ELASTIC WAVE EQUATION
DONG LIANG-GUO,MA ZAI-TIAN,CAO JING-ZHONG,WANG HUA-ZHONG, GENG JIAN-HUA,LEI BING,XU SHI-YONG.A STAGGERED-GRID HIGH-ORDER DIFFERENCE METHOD OF ONE-ORDER ELASTIC WAVE EQUATION[J].Chinese Journal of Geophysics,2000,43(3):411-419.
Authors:DONG LIANG-GUO  MA ZAI-TIAN  CAO JING-ZHONG  WANG HUA-ZHONG  GENG JIAN-HUA  LEI BING  XU SHI-YONG
Abstract:All methods of seismic wave-field simulation are trying to improve their computational accuracy and efficiency. After transforming the odd higher-order time derivatives of velocity (stress) to spatial derivatives of stress (velocity) in the high-order finite difference method, we can use any order of the temporal and spatial difference accuracy and staggered-grid technique for numerical calculation of the one-order elastic wave equations expressed with velocity and stress. The snapshots and simulated results of an actual model show that this method is more accurate and can decrease the grid dispersion in conventional difference method. Meanwhile, bigger grid space can be used in order to raise the computational efficiency.
Keywords:Elastic wave equation  TI media  High-order finite difference  Staggered-grid  Absorbing boundary conditions  Stability  
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