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Hybrid grid finite-difference numerical simulation method and device of three-dimensional wave equation

A finite difference and wave equation technology, applied in seismic signal processing and other directions, can solve problems such as numerical dispersion, low simulation accuracy, and long distance, and achieve the effect of reducing numerical dispersion and improving numerical simulation accuracy

Active Publication Date: 2019-01-01
PETROCHINA CO LTD
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Problems solved by technology

In the numerical simulation of the wave equation, the accuracy of the numerical simulation is mainly improved by increasing the value of M. However, with the increase of the value of M, the distance between the newly added grid points on the coordinate axis and the center becomes smaller. The farther and farther away, the contribution to the improvement of simulation accuracy is getting smaller and smaller, and there is serious numerical dispersion, and the simulation accuracy is low

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  • Hybrid grid finite-difference numerical simulation method and device of three-dimensional wave equation
  • Hybrid grid finite-difference numerical simulation method and device of three-dimensional wave equation
  • Hybrid grid finite-difference numerical simulation method and device of three-dimensional wave equation

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[0070] In order to enable those skilled in the art to better understand the technical solutions in the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below in conjunction with the drawings in the embodiments of the present application. Obviously, the described The embodiments are only some of the embodiments of the present application, but not all of them. Based on the embodiments in this application, all other embodiments obtained by persons of ordinary skill in the art without creative efforts shall fall within the scope of protection of this application.

[0071] The numerical simulation of the wave equation plays an important role in the process of seismic exploration and oil and gas development. Through the numerical simulation of the wave equation, the propagation law of seismic waves in the medium can be obtained. The embodiment of the present invention adopts the finite difference meth...

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Abstract

The application provides a hybrid grid finite-difference numerical simulation method and device of a three-dimensional wave equation. The method includes: constructing a three-dimensional hybrid gridfinite difference format including grid points on a coordinate axis and a non-coordinate axis in a three-dimensional rectangular coordinate system; according to the three-dimensional hybrid grid finite difference format, carrying out finite difference dispersion on a three-dimensional wave equation to obtain a finite difference discrete equation of the three-dimensional wave equation; according tothe finite difference discrete equation and a plane wave theory, calculating a differential coefficient of the finite difference discrete equation; and calculating the finite difference discrete equation based on the differential coefficient to realize numerical simulation of the three-dimensional wave equation. With the hybrid grid finite-difference numerical simulation method provided by the application, the numerical frequency dispersion of the numerical simulation of the three-dimensional wave equation is reduced effectively; and the numerical simulation accuracy of the three-dimensionalwave equation is improved.

Description

technical field [0001] The application belongs to the technical field of seismic wave numerical simulation, and in particular relates to a three-dimensional wave equation mixed grid finite difference numerical simulation method and device. Background technique [0002] The wave equation is an important partial differential equation, which usually describes the wave propagation process in the medium. The wave equation numerical simulation is an important basis for seismic exploration and seismology, and it can simulate and study the propagation laws of seismic waves in various underground media. The wave equation numerical simulation can be used in the design and evaluation of field observation systems, can test the correctness of various inversion methods, and can test the correctness of seismic interpretation results. It is the basis and basis of reverse time migration and full waveform inversion. key link. [0003] In the prior art, the finite difference method is curren...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/30
CPCG01V1/30
Inventor 胡自多刘威王艳香韩令贺杨哲王述江
Owner PETROCHINA CO LTD
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