井间地震Hartley变换法正演模拟与偏移

Forward modeling and data migration in cross-hole seismology by Hartley Transform

地矿部石油物探研究所, 南京210014

Research Institute of Geophysical Prospecting for Petroleum, Nanjing 210014

Hartley变换(HT)是类似于Fourier变换的一种积分变换, 具有与Fourier变换相似的一些性质。与Fourier变换相比, Hartley变换的优点是：(1)它是一种实数变换；(2)它的正反变换一样。因此Hartley变换的计算速度比Fourier变换要快。本文简述Hartley变换的一般性质与特点, 并利用这些性质进行声波方程Hartley变换法的井间地震正演, 分析井间波场的特点, 最后进行Hartley变换法的声波方程逆时井间偏移。

Hartley Transform, a kind of integral transform, takes on some properties inherent in Fourier Transform but has advantages over Fourier Transform in that (1)it is a real transform, and (2)both the forward and inverse transforms take the the same form. So, Hartley Transform is faster than Fourier Transform in computation speed. This paper first gives a briefing on some average ptoperties of Hartley Transform, based on which a forward modeling operation for the acoustic equation is then performed on a set of crosshole data. After analyzing the features for the cross-hole wavefield, the reverse-time migration via Hartley Transform is taken as the final operation.