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《Chinese Journal of Geophysics》 2012-10
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A 17-point scheme and its numerical implementation for high-accuracy modeling of frequency-domain acoustic equation

CAO Shu-Hong1,2,CHEN Jing-Bo1 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 Graduate University of Chinese Academy of Sciences,Beijing 100049,China  
Frequency-domain modeling is the basis of frequency-domain full waveform inversion.The classical optimal 9-point scheme is only of second-order accuracy,and does not meet the need of high-accuracy seismic imaging.This paper deals with two fourth-order schemes,namely fourth-order 9-point scheme and optimized 17-point scheme.The 17-point scheme reduces the number of grid points required by the shortest wavelength to 2.56.We also perform numerical tests on a simple model and the Overthrust model,and the modeling results with the three schemes are compared.The results demonstrate the superiority of the 17-point scheme over the fourth-order 9-point scheme and optimal 9-point scheme in terms of reducing dispersion errors.Numerical tests on complex model further confirm the feasibility of the 17-point scheme.
【Fund】: 国家自然科学基金项目(40830424 41274139 40974074)资助
【CateGory Index】: P631.4
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