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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