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Finite difference method and device for time-space high-order VTI rectangular grid

A rectangular grid, finite difference technology, applied in the field of wave field extrapolation, can solve the problems of time numerical dispersion, time high-order methods are difficult to expand, unstable, etc., and achieve the effect of reliable wave field extrapolation

Active Publication Date: 2019-05-07
BC P INC CHINA NAT PETROLEUM CORP +1
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Problems solved by technology

On the contrary, since the time-domain dispersion is a nonlinear function of the mutual coupling between the difference coefficient and the anisotropy parameter, the time-space domain method and the time-higher-order method by adding paraxial grid points are difficult to extend to the VTI seismic wave equation In numerical simulation
Therefore, at present, the wave equation in the VTI medium is still discretized by the time second-order difference scheme, which leads to serious time numerical dispersion and even instability when the time step is large.

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  • Finite difference method and device for time-space high-order VTI rectangular grid
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  • Finite difference method and device for time-space high-order VTI rectangular grid

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Embodiment Construction

[0038] The following will clearly and completely describe the technical solutions in the embodiments of the present specification in combination with the drawings in the embodiments of the present specification. Obviously, the described embodiments are only some of the embodiments of the present specification, not all of them. Based on the embodiments in this specification, all other embodiments obtained by persons of ordinary skill in the art without creative efforts shall fall within the protection scope of this specification.

[0039] The following is attached figure 1 An embodiment of a time-space high-order VTI rectangular grid finite difference method of the present application is described. The subject of execution of the method is a server. The specific implementation steps of the time-space high-order VTI rectangular grid finite difference method are as follows:

[0040] S100: Transform the VTI elastic wave equation into a matrix wave equation.

[0041] With the de...

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Abstract

The embodiments of the specification provide a finite difference method and device for a time-space high-order VTI rectangular grid. The method comprises: transforming a VTI elastic wave equation intoa matrix wave equation; expanding the matrix wave equation to a time fourth-order accuracy to obtain a discrete wave equation; calculating a spatial partial derivative based on the discrete wave equation; and calculating an optimized finite difference coefficient based on the spatial partial derivative. The method can effectively improve the time dispersion accuracy and improve the computationalefficiency of wavefield extrapolation.

Description

technical field [0001] The embodiments of this specification relate to the technical field of wave field extrapolation, and in particular to a time-space high-order VTI rectangular grid finite difference method and device. Background technique [0002] Compared with the acoustic wave field, the elastic wave field can provide a richer and more comprehensive subsurface geological structure. Therefore, migration imaging and waveform inversion based on the elastic wave equation have become the frontier and hot spot of seismic exploration. [0003] High-precision and high-efficiency wave field extrapolation method is one of the key factors for elastic wave migration imaging and waveform inversion. The finite difference method, especially the staggered grid algorithm, is widely used in elastic wave numerical simulation due to its advantages of simple implementation, small calculation amount, and easy parallelism. When using the finite difference method to simulate the wave field,...

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Application Information

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IPC IPC(8): G01V1/28G01V1/30
Inventor 刘洋徐世刚
Owner BC P INC CHINA NAT PETROLEUM CORP
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