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地震波正演模拟的任意差分精细积分方法
引用本文:王润秋,耿伟峰,王尚旭.地震波正演模拟的任意差分精细积分方法[J].石油地球物理勘探,2003,38(3):252-257.
作者姓名:王润秋  耿伟峰  王尚旭
作者单位:石油大学资源与信息学院CNPC物探重点实验室 (王润秋,耿伟峰),石油大学资源与信息学院CNPC物探重点实验室(王尚旭)
基金项目:973预研 ( 2 0 0 1cca0 2 3 0 0 ),CNPC中青年创新基金资助
摘    要:本文对钟万勰提出的抛物线方程单点子域积分法和强士中提出的温度场问题的任意差分法进行了改进,提出了波动方程任意差分精细积分解法,从理论上推导了任意差分精细积分公式并给出了其实现途径,对任意差分精细积分方法的空间与时间精度和差分格式的稳定性做了理论探讨,并进行了验证。理论分析和实际例证都表明本文方法精度较高。地震波正演模拟算例则表明本文方法适用于复杂地表和复杂构造地质体。

关 键 词:地震波正演模拟  任意差分精细积分方法  波动方程  有限差分  精细积分  地震模型  复杂地表

Seismic forward modeling by arbitrary difference precise integration
Wang Runqiu,School of Resource and information technology,University of Petroleum,Beijing City,China,Geng Weifeng and Wang Shangxu.Seismic forward modeling by arbitrary difference precise integration[J].Oil Geophysical Prospecting,2003,38(3):252-257.
Authors:Wang Runqiu  School of Resource and information technology  University of Petroleum  Beijing City    China  Geng Weifeng and Wang Shangxu
Affiliation:Wang Runqiu,School of Resource and information technology,University of Petroleum,Beijing City,100083,China,Geng Weifeng and Wang Shangxu
Abstract:The paper improved the following methods:single point sub domain integration for parabolic equation presented by Zhong Sixie and arbitrary difference for temperature field problem presented by Qiang Shizhong,presented a arbitrary difference precise integration (ADPI) algorithm of wave equation.The formula of ADPI is theoretically deduced and its realization way is given in the paper;the space and time resolution and the stability of difference format are discussed theoretically and proved in real case.The theoretical analysis and real cases showed the high precision of the presented method in the paper.The presented seismic forward modeling cases showed that the method is suitable for complex near surface and structural geologic body.
Keywords:forward modeling  wave equation  finite difference  arbitrary difference  precise integration  complex near  surface  seismic model
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