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Three-dimensional sound wave equation spatial domain forward modeling method and device based on pseudo-spectral method

A sound wave equation and space domain technology, applied in the field of oil exploration, can solve problems such as consuming computer time, difficulty adapting to graphics processors, and reduced computing efficiency

Pending Publication Date: 2021-05-28
BC P INC CHINA NAT PETROLEUM CORP +1
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Problems solved by technology

Each step needs to perform a large number of calculations during calculation, which consumes a lot of computer time. At the same time, multiple steps are executed one by one, which is difficult to adapt to the parallel calculation process of the Graphics Processing Unit (GPU), resulting in reduced calculation efficiency.

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  • Three-dimensional sound wave equation spatial domain forward modeling method and device based on pseudo-spectral method
  • Three-dimensional sound wave equation spatial domain forward modeling method and device based on pseudo-spectral method
  • Three-dimensional sound wave equation spatial domain forward modeling method and device based on pseudo-spectral method

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Embodiment Construction

[0023] In order to make the purpose, technical solutions, and advantages of the embodiments of the present application clearer, the embodiments of the present application will be further described in detail below in conjunction with the accompanying drawings. Here, the exemplary embodiments of the application and their descriptions are used to explain the application, but not to limit the application.

[0024] The embodiment of the present application provides a three-dimensional acoustic wave equation space domain forward modeling method based on the pseudospectral method, such as figure 1 As shown, the method includes step 101 and step 102:

[0025] Step 101 , for a specified coordinate direction in a three-dimensional space, calculate a second-order derivative operator in the specified coordinate direction according to the number of sampling points in the specified coordinate direction and the m-order derivative operator formula.

[0026] Among them, the m-order derivation...

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Abstract

The invention discloses a three-dimensional sound wave equation spatial domain forward modeling method and device based on a pseudo-spectral method. The method comprises the steps that: for the specified coordinate direction of a three-dimensional space, a second-order derivation operator in the specified coordinate direction is calculated according to the number of sampling points in the specified coordinate direction and an m-order derivation operator formula, wherein the m-order derivation operator formula is derived according to a forward Fourier transform algorithm and an inverse Fourier transform algorithm, wherein m is greater than or equal to 1; and a spatial partial derivative of the three-dimensional wave equation is determined according to the second-order derivation operator and a spatial wave field, and the spatial partial derivative is taken as a spatial domain forward modeling result of the three-dimensional sound wave equation. According to the method, the calculation amount of a computer can be reduced; and the method is more suitable for GPU parallel calculation, and can improve the calculation efficiency.

Description

technical field [0001] The present application relates to the technical field of petroleum exploration, in particular to a method and device for forward modeling of three-dimensional acoustic wave equation in space domain based on pseudospectral method. Background technique [0002] This section is intended to provide a background or context to embodiments of the invention that are recited in the claims. The descriptions herein are not admitted to be prior art by inclusion in this section. [0003] Pseudospectral method is an important method for earthquake forward modeling. In the pseudospectral method, the second-order partial derivative of the wave field with respect to time is obtained by finite difference in the time domain, and the partial derivative of the wave field with respect to space is obtained in the space domain through the following steps: through the fast algorithm of discrete Fourier transform (Fast Fourier Transformation, FFT) to transfer the space domai...

Claims

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Application Information

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IPC IPC(8): G01V1/30
CPCG01V1/302G01V1/306G01V2210/624Y02T90/00
Inventor 闫海洋孙赞东朱兴卉王亚静范畅
Owner BC P INC CHINA NAT PETROLEUM CORP
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