Acoustic wave equation modeling with rectangle grid finite difference operator and its linear time space domain solution
Liang Wenquan1, Wang Yanfei2, Yang Changchun2
1. School of Resource Engineering, Longyan University, Longyan, Fujian 364000, China;
2. Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
Abstract：Finite difference methods are widely used in wave equation modeling,reverse time migration,and full waveform inversion.Suppressing the grid dispersion is one of the key points for finite difference approaches.Many current methods determining the finite difference operators assume that the intervals are identical for the spatial partial derivative in different directions.However,to use finite difference operators with different spatial intervals in different directions is more suitable for wave field extrapolation.Therefore,we use a liner method in this paper to determine the finite difference coefficients with rectangle grid.Through dispersion analysis and numerical simulations,the proposed method is proved to be more accurate and efficient.Therefore,the rectangle grid finite difference operator and its linear solution might be applied in wave equation extrapolation instead of conventional methods.
梁文全, 王彦飞, 杨长春. 声波方程数值模拟矩形网格有限差分系数确定法[J]. 石油地球物理勘探, 2017, 52(1): 56-62.
Liang Wenquan, Wang Yanfei, Yang Changchun. Acoustic wave equation modeling with rectangle grid finite difference operator and its linear time space domain solution. OGP, 2017, 52(1): 56-62.
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