最优化广义离散Shannon奇异核交错网格褶积微分算子地震波场模拟  

OPTIMAL GENERALIZED DISCRETE SHANNON SINGULAR KERNEL STAGGERED GRID CONVOLUTIONAL DIFFERENTIATOR FOR SEISMIC WAVE MODELING

作　　者：刘少林[1] 李小凡[1] 汪文帅[1,2] 张美根[1] 

机构地区：[1]中国科学院地质与地球物理研究所地球深部重点实验室,北京100029 [2]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《物探与化探》2013年第3期473-479,共7页Geophysical and Geochemical Exploration

基　　金：国家自然科学基金项目(41174047;40874024)

摘　　要：笔者基于离散Shannon奇异核褶积微分算子(GDSCD)计算地震波速度应力方程的空间导数,推导了一阶GDSCD的具体形式,并提出了优化方法,即在频率域逼近平面波的真实导数,得到了不同半径和采样下限的最优窗函数系数,通过滤波响应分析算子精度,与多种数值方法对比以及模型测试表明,笔者构造的最优化GDSCD模拟地震波具有较高的计算效率和精度。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 mod- eling.

关 键 词：广义Shannon奇异核 数值模拟 地震波场 滤波响应 

分 类 号：P631.4[天文地球—地质矿产勘探]