|Table of Contents|

Hybrid method combining finite difference and pseudospectral method for solving the elastic wave equation(PDF)

《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

Issue:
2004年第01期
Page:
61-64
Research Field:
Publishing date:

Info

Title:
Hybrid method combining finite difference and pseudospectral method for solving the elastic wave equation
Author(s):
MA De-tang1; ZHU Guang-ming2
1 .School of Science , Chang'an University , Xi'an 710064, China ;2.School of Geological Engineering and Surveying Engineering , Chang'an University , Xi'an 710054 , China
Keywords:
elastic wave field numerical modeling ; finite difference method; pseudospectral method ; hybrid method
PACS:
P315.3+1
DOI:
-
Abstract:
Many different methods proposed for modeling waves have their own range of validity and limitation.For example .Finite different FD)techniques have been widely used in wave modeling .One advantage of FD techniques is their ability to model wave propagation in media with fairly general spatial variation of elastic properties.However , particularly for models with sharp discontinuities, FD schemes are by no means free from accuracy problem.Finite elementFE)method has been shown to be an efficient alternative tool for modeling wave propagation in complex structures.Pseudo-spectral methodPS)has advantages of higher accuracy and lower dispersion than FD method and FE method, but , there exists difficulties in dealing with free surface boundary condition as FD method. Here we develop a hybid method which couples the FE method with PS method to model near boundary wave field and inner wave field respectively , to use the advantages of the two methods and to increase the numerical accuracy and computation efficiency .The problems concerning connection of the two methods are solved by introducing the transition region between near boundary and inner region .Numerical examples have demonstrated the validity and the advantages of the hybid method given here .

References:

[1] Benxi Ke , Bo Zhao ,Jiaming Cai et al.2-D finite element acoustic wave modeling including rugged topography[A] .Soc .Expl.Geophys .71th Ann .Internat .Mtg[C] .Tulsa , USA, 2001 .
[2] Bengt Fornberg .The pseudospectral method :comparisons wi th finite dif ferences for the elasti c wave equation .Geophysics[J] , 1987 , 52 4):483 ～ 501 .
[3] Takashi Furumura and Hiroshi Takenaka, .A wraparound elimination technique for the pseudospectral wave synthesis using an antiperiodi c extension of the wavefield[J] .Geophysics , 1995 , 602):302 ～ 307 .
[4] Rushan Wu , Li Yun Fu .A hybrid method for wave propagation simulation in near-surface regions[A] .Soc.Expl.Geophys .68th Ann . Internat .Mtg[C] .Tulsa, San Antonio, USA ,1998 .

Memo

Memo:
-
Last Update: 2004-03-20