Hartley Transform In Seismic Migration

Seismic migration is a inversion operation to rearrage seismic singal, which can make scattering energy be migrated to the correct locations and give really tectonic imaging. Hartley transform with real computing is an intergral transformation, similar to the fourier transform. In fact, fourier transform and hartley transform have the intrinsic relationship. From such close relation, hartley transform can completely be used to migration methods based on the fourier transform. Compared with migration based on FFT, migration based on FHT only have operation in the real domain, saving complex memory and simplifying complex computing. In this paper, the hartley transform is applied to split-step migration based on one-way equation and modified one-way wave equation.Based on the basic idea of the split-step fourier migration, hartley trasform is applid to solve the traditional two-dimensional and three-dimensional one-way wave equation and split-step hartley wave field contin-ucation formula is derived by mathmatical inference. From full acoustic wave equation, a modified one-way wave equation is derived, using oneway wave's preserved-amplitude decomposition based on strict decoupin-g theory. Then, a preserved-amplitude migration operator is obtained, based on the method of split-step hartley by mathematical inference.Last, a simple theoretical model test is done , obtaining the good imaging. After comparision and analysis of the results of migration. the correctness of split-step hartley migration and corresponding algorithm are proved. At the same time, the experimental results show that the preserved-amplitude migration not only derive correct location of the image, but also compensate the amplitude loss arising from spherical proliferation.