A finite-difference scheme in frequency-space domain to solve heterogeneous acoustic wave equation
WU You1,2, WU Guochen1,2, LI Qingyang1,2, YANG Lingyun1,2, JIA Zongfeng1,2
1. School of Geosciences, China University of Petroleum (East China), Qingdao, Shandong 266580, China; 2. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao, Shandong 266071, China
Abstract:To accurately and efficiently simulate the propagation of acoustic wave in heterogeneous media, this paper constructed a general framework of finite-difference simulation of heterogeneous acoustic wave equations in frequency-space domain using a staggered grid and a hybrid grid. The finite-difference schemes of the staggered grid and the hybrid grid were respectively derived and extended to higher-order forms. The weighted avera-ge method was employed to approximate the mass acceleration term, and the perfectly matched layer (PML) absorbing boundary condition was used to effectively suppress the artificial boundary reflection. The accuracy of the method was verified by a layered model, and its stability was examined by the Marmousi model. Numerical experiments show that under the same space subdivision precision, the simulation accuracy of the hybrid grid and the fourth-order staggered grid is much higher than that of the second-order staggered grid. Although the simulation accuracy of the hybrid grid is slightly lower than that of the fourth-order staggered grid, it has higher computational efficiency. Thus, the hybrid grid method can be the first choice for the forward modeling of acoustic wave in heterogeneous media in a frequency domain.
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