高效优化非分裂PML边界二阶标量波方程数值模拟方法

doi:10.13278/j.cnki.jjuese.20180287

Abstract

Abstract: Convolutional perfectly matched layer (CPML) absorbing boundary is a method for efficiently processing artificial boundary reflection waves in numerical simulation of wave equations. Based on the traditional first-order system CPML absorption boundary conditions, the authors generalized and deduced the new CPML boundary conditions of the second-order system. Different from the CPML boundary conditions of the conventional second-order system, the core idea of the new boundary is to ignore the space-varying characteristics of partial attenuation factors in the complex-frequency domain, so as to avoid of the generation of complex convolution in the time domain, and then to obtain a second-order scalar wave equation based on CPML absorption conditions,which is then applied to the second-order scalar wave numerical simulation. Through the uniform medium model test, the memory usage of the new second-order system CPML absorbing boundary is less than that of the conventional second-order system CPML and SPML, and the effect of absorbing boundary of the new second-order system CPML is slightly inferior to the conventional second-order system CPML, but they all have obvious advantages over SPML. The stability of the new boundary conditions and the advantages in efficiency are verified by the test of layered model and Marmousi model.

Key words: absorption boundary conditions, second-order scalar wave equation, seismic forward modeling, wave equation

CLC Number:

P631.4

Yang Lingyun, Wu Guochen, Li Qingyang. Efficient Optimization of Second Order Scalar Wave Equation Numerical Simulationfor Non-Splitting PML Boundary[J].Journal of Jilin University(Earth Science Edition), 2019, 49(6): 1755-1767.

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Efficient Optimization of Second Order Scalar Wave Equation Numerical Simulationfor Non-Splitting PML Boundary

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