LIU Shao-lin1, LI Xiao-fang1, WANG Wen-shuai1,2, ZHANG Mei-gen1
1. Key Laboratory of Earth Interior, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;
2. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China
This paper deals with the generalized discrete Shannon convolutional differentiator (GDSCD) for solving seismic velocity-stress equation. The first-order convolution differentiators are provided. An efficient method is proposed to optimize the coefficients of the convolution differentiator. A series of optimal coefficients are obtained for various operator lengths and sampling rates per shortest wave length. The operator accuracy is discussed through filter response. A comparison with various numerical methods and numerical experiments show that the new designed staggered grid convolution differentiator has high accuracy and efficiency for seismic wave modeling.
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