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基于波动方程有限差分算法的接收函数正演与偏移
引用本文:王红落,常旭,陈传仁.基于波动方程有限差分算法的接收函数正演与偏移[J].地球物理学报,2005,48(2):415-422.
作者姓名:王红落  常旭  陈传仁
作者单位:中国科学院地质与地球物理研究所,北京,100029;长江大学地球物理与石油资源学院,荆州,434023
基金项目:国家自然科学基金项目 (4 0 1740 17,40 2 3 5 0 5 5 )资助
摘    要:针对接收函数正演与偏移, 本文采用波动方程有限差分算法. 借鉴成熟的勘探地震学方法, 引入等效速度概念, 建立接收函数转换波与地震勘探反射波的等效走时方程, 实现了基于波动方程有限差分算法的接收函数正演与偏移. 数值计算表明, 波动方程有限差分叠后偏移方法可以对点绕射和穹隆构造模型实现高精度成像. 本文利用数值计算讨论了波动方程有限差分叠后偏移与Kirchhoff叠后偏移对于接收函数偏移的适用性, 还对偏移过程中速度模型的误差进行了分析.

关 键 词:有限差分正演  接收函数阵列  共转换点(CCP)叠加  有限差分偏移
文章编号:0001-5733(2005)02-0415-08
收稿时间:2004-04-13
修稿时间:2004-12-08

Receiver function forward modeling and migration based on wave-equation finite difference method
WANG Hong-Luo,CHANG Xu,CHEN Chuan-Ren.Receiver function forward modeling and migration based on wave-equation finite difference method[J].Chinese Journal of Geophysics,2005,48(2):415-422.
Authors:WANG Hong-Luo  CHANG Xu  CHEN Chuan-Ren
Institution:1.Institute of Geology & Geophysics, Chinese Academy of Sciences, Beijing 100029, China 2 The College of Geophysics and Petroleum Resources, Yangtze University, Jingzhou 434023, China
Abstract:The wave-equation finite difference algorithm is applied here as a solution for forward modeling and migration of receiver function. With the help of exploration seismology concepts, the equivalent velocity and traveltime equation are established, therefore the forward calculation and migration of receiver function are implemented by wave-equation finite difference method. The numerical calculation indicates that imaging of point diffractor and dome can be accomplished with high accuracy employing poststack wave-equation finite difference migration. Then the applicabilities for receiver function imaging between poststack finite difference migration and Kirchhoff migration are discussed according to numerical results. Finally, the effects on velocity error for imaging are analyzed.
Keywords:Finite difference modeling  Receiver function array  Common converted point stack  Finite difference migration
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