二维弹性波方程频率空间域有限差分正演研究  

2D Elastic Wave Equation Forward Modeling in Frequency-Space Domain Using Finite-Difference Method

作　　者：潘威 成景旺[2] 闫立爽 

机构地区：[1]甘肃铁道综合工程勘察院有限公司物探新技术研究所,甘肃兰州730000 [2]中国地质大学地球物理与空间信息学院,湖北武汉430074 [3]江西省地质矿产勘查开发局物探化探大队,江西南昌330201

出　　处：《工程地球物理学报》2013年第6期858-862,共5页Chinese Journal of Engineering Geophysics

摘　　要：时间空间域有限差分正演模拟方法比较成熟,但是,该方法存在截断误差,并且该误差会随着计算量的增加不断累积。而频率空间域有限差分正演模拟方法是对空间网格后的所有网格点按照频率切片进行整体求解方程组,计算的误差被分配到了每一个网格点上。因为每个频率切片是单独计算的,不存在累积的舍入误差。推导了二维弹性波方程频率空间域的最优化旋转有限差分格式,通过模型的正演模拟试算,验证了频率空间域有限差分方法算法的有效性。The time--space domain finite difference forward modeling is relatively mature, but this method has truncation errors which constantly accumulate with the increased a- mount of computation. However, in accordance with the frequency slices, frequency-- space domain finite difference forward modeling is solving the wave equation integrally for all grid points, and the calculation errors are assigned to every grid points. Because each frequency slice is calculated separately, there are no accumulated rounding errors. The pa- per deduces the optimized rotate finite difference format of two dimension elastic wave fre- quency-space domain equation, and verifies the efficiency of frequency--space domain al- gorithm using forward modeling.

关 键 词：频率空间域正演 有限差分法 最佳匹配层 

分 类 号：P631.4[天文地球—地质矿产勘探]