Optimum design method of finite difference template of non-equiangular long-grid wave equation

A technology of wave equation and finite difference, which is applied in the field of optimization design of finite difference template of side-length grid wave equation, which can solve problems such as not being able to save calculation amount and not meeting accuracy requirements

Active Publication Date: 2015-05-06
BC P INC CHINA NAT PETROLEUM CORP +1
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Spatio-temporal finite-difference methods for square and cuboid g...

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  • Optimum design method of finite difference template of non-equiangular long-grid wave equation
  • Optimum design method of finite difference template of non-equiangular long-grid wave equation
  • Optimum design method of finite difference template of non-equiangular long-grid wave equation

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[0049] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with the embodiments and accompanying drawings. Here, the exemplary embodiments and descriptions of the present invention are used to explain the present invention, but not to limit the present invention.

[0050]The inventors found that the current time-space domain finite difference method requires equal spatial sampling intervals in all directions, that is, the model needs to be divided into square or cube grids, but this method cannot meet specific accuracy requirements or save Calculations. You can meet specific accuracy requirements or save computation if you mesh your model into a rectangular or cuboid mesh. Based on this, the present invention proposes a finite-difference template optimization design method for non-equilateral grid wave equations.

[0051] figure 1 It is a flow chart of...

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Abstract

The invention discloses an optimum design method of a finite difference template of a non-equiangular long-grid wave equation. The method comprises the following steps: according to a time sampling interval and a spatial sampling interval, mesh subdivision is executed to the simulating region of an actual geologic model; according to the maximum appointed permissible error and the wave number range, the corresponding operator lengths of different acoustic velocities are calculated; based on the finite difference method of the least square optimization time space domain and the corresponding operator length, the optimized finite difference coefficient of the grid is acquired; the acquired optimized finite difference coefficient is brought into the wave equation with a difference scheme to perform forward modeling of the wave equation. According to the method, the finite difference method of the time space domain only applied to square and cube grids is expanded into the rectangular or rectangular parallelepiped grids, thus a special simulation precision requirement and a requirement for saving a calculated amount are met in actual production.

Description

technical field [0001] The invention relates to the technical field of seismic wave forward modeling numerical simulation, in particular to a finite-difference template optimization design method for grid wave equations with non-equilateral lengths. Background technique [0002] Seismic wave forward modeling numerical simulation technology is to use numerical calculation method to make the wave flow in this complex geological model (including isotropic medium, anisotropic medium, Biot multi-phase anisotropic medium, random porous medium, etc.) It is a process in which it propagates in a medium, undergoes multiple transmissions, reflections, and scatterings of underground geological structures, and is received by detectors arranged on the surface or underground. The accurate numerical solution of the wave equation is used to simulate the seismic response of underground complex geological structures, which provides more scientific mathematical and physical basis for the study ...

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Application Information

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IPC IPC(8): G01V1/28
Inventor 杨宗青刘洋蔡晓慧
Owner BC P INC CHINA NAT PETROLEUM CORP
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