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Wave field simulation staggered mesh finite difference method

A staggered grid, finite difference technology, applied in the field of seismic exploration, can solve problems such as undiscovered, achieve stable and accurate wave field information, and overcome the effects of instability.

Inactive Publication Date: 2017-12-29
XI AN JIAOTONG UNIV +1
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  • Wave field simulation staggered mesh finite difference method
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  • Wave field simulation staggered mesh finite difference method

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[0033] The present invention aims at the instability phenomenon caused by the matrix inversion method to solve the difference coefficient when the high-order staggered grid finite difference method is used for numerical simulation, and solves the problem by using the algorithm based on Vandermonde matrix to solve the difference coefficient, and can obtain more Stable and accurate TRON results.

[0034] The present invention will be described in detail below in conjunction with the accompanying drawings and examples.

[0035] 1) The difference coefficient a of the 2M order spatial derivative m solve formula

[0036] In the staggered-grid finite-difference method, the 2M order precision spatial derivative is given by

[0037]

[0038] Here, h is the spatial grid size, a m (m=1,2,...,M) are the difference coefficients of the staggered grid finite difference method.

[0039] right with Carry out Taylor expansion, and compare the coefficients of the n-order derivatives o...

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Abstract

The invention discloses a staggered grid finite difference method for wave field simulation, which is suitable for wave field simulation of wave equations in any medium. The invention aims at the unstable phenomenon caused by the solution of the difference coefficient in the high-order staggered grid finite difference method, and provides an algorithm based on the Vandermonde matrix to solve the difference coefficient, which effectively overcomes this problem. The method can provide accurate and stable wave field simulation results; the technical solution is easy to implement and has wide applicability.

Description

technical field [0001] The invention belongs to the technical field of seismic exploration and relates to a numerical simulation method, in particular to an accurate and stable staggered grid finite difference method for wave field simulation. Background technique [0002] Wave field forward modeling technology is an important basis for seismic wave detection, a key tool for understanding the seismic wave response of reservoirs, and a prerequisite for parameter inversion and imaging in seismic data interpretation. The finite-difference method has been widely used in seismic wave forward modeling because it is easy to implement and can handle complex media flexibly. The finite difference method expresses the time and space derivatives in the wave equation in the form of difference quotient, thus realizing the discretization of time and space. There are many kinds of finite difference methods, including explicit and implicit finite difference methods, time domain and frequenc...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/30
CPCG01V1/303G01V1/301G01V2210/6222G01V2210/66G01V2210/673
Inventor 张懿洁高静怀彭济根柳清伙张金淼
Owner XI AN JIAOTONG UNIV
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