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《Progress in Geophysics》 2013-02
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Comparison of boundary element method and finite-difference method for simulating seismic wave propagation in complex media

HE Yan-feng1,2,SUN Wei-jia1,FU Li-yun1(1.Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China; 2.University of Chinese Academy of Sciences,Beijing 100049,China)  
Numerical modeling of seismic wave-field plays an important role in both theoretical geophysics and exploration geophysics.With the development of geophysics and numerical simulation technology,boundary element method(BEM) and finite-difference method(FDM) have been two basic methods in the study of seismic wave propagation.BEM is a semi-analytical and semi-numerical boundary type method,which explicitly uses the boundary continuity conditions for displacement and traction across interfaces,discretizes model along stratigraphic boundaries,and has advantages of spatial dimensionality reduction,high accuracy and easy fulfillment of radiation conditions at infinity.FDM is a typical domain type method,which is characteristic of the implicit use of boundary continuity conditions,discretizes model in the form of space grids,and has advantages of high efficiency and easy numerical implementation.To take full advantage of BEM and FDM,the numerical accuracy,computational efficiency,dispersion effect and applicability of the two methods are comprehensively compared in this paper.A homogeneous Valley model and two heterogeneous complex fault models are applied.Comparisons are implemented in frequency domain as well as in time domain.The results show that each method has specific merits and drawbacks.BEM is more accurate in the simulation of reflection/transmission across internal irregular interfaces,FDM cannot geometrically describe internal boundaries with enough accuracy.At high frequencies,BEM is computationally intensive since a considerable amount of matrix must be inverted,FDM is more efficient but it needs a much larger number of discretization grid points to decrease numerical dispersion.Therefore,FDM is a better choice when dealing with the problems of heterogeneity and high frequency computations,while BEM has potential advantages for solving fault point,internal irregular boundaries and large-scale problems.
【Fund】: 国家科技重大专项(2011ZX05023-005-004);; 国家重点基础研究发展计划(2009CB219403)联合资助
【CateGory Index】: P631.4
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