基于Hartley变换的三维真振幅偏移算子研究

英文篇名：True Amplitude Seismic Migration Operator Based on Hartley Transform in 3d Hetero Geneous Medium
中文刊名：数学理论与应用
英文刊名：Mathematical Theory and Applications
作者：袁修贵 ; 张艳杰 ; 宋芬
英文作者：Yuan Xiugui Zhang Yanjie Song Fen(School of Mathematical Science and Computing Technology ; Central South University ; Changsha ; 410083)
中文关键词：单程波方程 ; 真振辐偏移 ; Hartley变换
英文关键词：One-way wave equation True amplitude migration Hartley transform
出版日期：2008-12-31
机构：中南大学数学科学与计算技术学院;
年：2008
期：04
出版单位：数学理论与应用

摘要

在实际应用中,以快速Fourier变换为基础的偏移方法,将本来是实数的地震道转化为复数参加运算,导致了计算机内存的增加。本文把只有纯实数运算的Hartley变换引入到基于Fourier变换的偏移算法,再利用三维真振幅偏移单程波方程,结合Fourier变换与Hartley变换的内在关系,经过数学推理,具体导出了裂步Hartley变换真振幅偏移算子。与一般裂步Fourier法相比,裂步Hartley变换真振幅偏移算法既提高了计算效率又对球面扩散问题进行了振幅补偿。
In real application,the migration methods based on Fast Fourier transform change real seismic trace into complex to operate results the increase of computer memory.In this paper,we introduce the Hartley transform with the pure real calculation into migration algorthm.The Split Step Hartley transform migration operator with true amplitude is derived by mathematical inference based on the inherent relations between Fourier transform and Hartley transform and a one-way wave equation with true amplitude created,and steps are given.Compared with the common Split Fourier,The Split Step Hartley transform migration operator with true amplitude both enhances with computing efficiency and proceeds the amplitude compensation about spherical proliferation.

引文

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