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Radial Basis Function Collocation Method Based On Quasi-Uniformly Node Configuration for 2D Fractional Laplacian Wave MoNormal access

Authors: Y. Xu, J. Li, X. Chen, G. Pang and K. Guo
Event name: 80th EAGE Conference and Exhibition 2018
Session: Seismic Modelling I
Publication date: 11 June 2018
DOI: 10.3997/2214-4609.201801100
Organisations: EAGE
Language: English
Info: Extended abstract, PDF ( 968.29Kb )
Price: € 20

Summary:
Decoupled fractional Laplacian wave equation can describe the seismic wave propagation in attenuating media. In this paper, the proposed method solves the equation in physical variable domain. the quasi-uniformly node configuration scheme is introduced for node placing, and the directional fractional Laplacian is chosen from varied definitions of fractional Laplacian. Particularly, the vector Grünwald-Letnikov formula is employed to approximate fractional directional derivative of radial basis function. Via comparison between the quasi-uniformly node configuration scheme and uniformly node placing scheme, results showed that quasi-uniformly scheme could effectively increase computational efficiency, especially when handling with complex model. The test on the complex model demonstrate the potential of this method in seismic modeling.


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