Wave number field amplitude preservation wave field separation method based on staggered mesh finite difference algorithm

Abstract

The invention relates to a wave number field amplitude preservation wave field separation method based on a staggered mesh finite difference algorithm. The method includes the steps that the staggered mesh finite difference algorithm is used for conducting elastic wave field numerical simulation, the Fourier transform is used for transforming a wave field snapshoot from a spatial domain to a wave number field, an interpolation operator of the wave number field is used for interpolating a velocity component to the same grid node, a normalization wave number is used for conducting amplitude preservation wave field separation, and the Fourier inversion is used for transforming a separated result to the spatial domain to obtain amplitude preservation P waves and S waves. According to the wave number field amplitude preservation wave field separation method based on the staggered mesh finite difference algorithm, the staggered mesh finite difference algorithm is used so that high-precision seismic wave field numerical simulation can be achieved; the interpolation operator of the wave number field has high interpolation precision, and thus the parameter value of the same grid node can be well estimated; the normalization wave number is used so that amplitude preservation wave field separation can be achieved, and the wave fields of the amplitude preservation P waves and the S waves are obtained; due to the fact that wave field separation is conducted in the wave number field, and relative to the Fourier transform and the Fourier inversion, the calculated amount can not be increased obviously in wave number field interpolation.

Description

technical field [0001] The invention belongs to the field of exploration geophysics, and in particular relates to a method for separating amplitude-preserving wave fields in the wave number domain based on a staggered grid finite difference algorithm. Background technique [0002] Wavefield separation is one of the important technologies in the field of seismic exploration, and it plays a very important role in the study of seismic wavefield forward modeling, multi-component seismic data processing and interpretation. At present, wave field separation methods are mainly divided into two categories: the first type is to perform wave field separation on multi-component records on the surface observation surface, and the second type is to perform wave field separation on wave field snapshots during elastic wave field propagation. Generally, the industry directly treats the horizontal component of multi-component recording as S-wave, and the vertical component as P-wave for proc...

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Problems solved by technology

[0003] In order to overcome the deficiencies of using the staggered grid finite difference method elastic wave field numerical simulation results to define the parameters of wave field separation in different grid nodes, and at the same time, in order to overcome the deficiencies of the poor amplitude preservation of the separated wave field obtained by using Helmholtz decomposition, the present invention A wave number domain amplitude-preserving wave field separation method based on the staggered grid finite difference algorithm is proposed. Firstly, the wave number domain interpolation operator is used to estimate the parameter values ​​of the same grid nodes, and then the normalized wave number is used to separate the wave field to obtain amplitude-preserved P and S waves

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