A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation

被引:100
作者
Liu, Yang [1 ,2 ]
Sen, Mrinal K. [2 ]
机构
[1] China Univ Petr, State Key Lab Petr Resource & Prospecting, Beijing, Peoples R China
[2] Univ Texas Austin, Inst Geophys, Austin, TX USA
基金
中国国家自然科学基金;
关键词
acoustic wave absorption; acoustic wave propagation; finite difference methods; finite element analysis; geophysical techniques; wave equations; PERFECTLY MATCHED LAYER; NONREFLECTING BOUNDARY-CONDITION; SIMULATION;
D O I
10.1190/1.3295447
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption.
引用
收藏
页码:A1 / A6
页数:6
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