Two-way wave pre-stack depth migration method based on matrix multiplication

A technology of pre-stack depth migration and matrix multiplication, which is used in measurement devices, instruments, scientific instruments, etc.

Active Publication Date: 2020-04-28
CHENGDU UNIVERSITY OF TECHNOLOGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0005] The purpose of the present invention is to address the above-mentioned deficiencies in the prior art, to provide a method for two-way wave

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  • Two-way wave pre-stack depth migration method based on matrix multiplication
  • Two-way wave pre-stack depth migration method based on matrix multiplication
  • Two-way wave pre-stack depth migration method based on matrix multiplication

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Embodiment Construction

[0063] The specific embodiments of the present invention are described below so that those skilled in the art can understand the present invention, but it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, as long as various changes Within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.

[0064] According to an embodiment of the present application, the matrix multiplication-based two-way wave prestack depth migration method of this solution includes:

[0065] Step S1, constructing a first-order equation system about the depth variable;

[0066] In a two-dimensional constant density medium, the frequency-domain wave equation with constant density can be expressed as:

[0067]

[0068] Among them, x and z...

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Abstract

The invention discloses a two-way wave pre-stack depth migration method based on matrix multiplication. The method comprises the following steps: S1, constructing a first-order equation system about adepth variable; S2, performing calculation to obtain eigenvalue decomposition or spectral decomposition of a matrix H; S3, performing calculation to obtain a recursive two-way wave field depth continuation equation from z to z+delta z; S4, calculating a vertical wave number and a trigonometric function of the vertical wave number according to matrix multiplication; S5, bringing the vertical wavenumber and the trigonometric function thereof back to the S3, and calculating a recursive two-way wave field depth continuation equation in a general form; S6, after calculation a continuation wave field of the next depth, calculating an offset result by utilizing a cross-correlation imaging principle; S7, judging whether the offset program is calculated to the maximum model depth or not, and if so, ending the algorithm; otherwise, repeating the steps from S3 to S6; and S8, verifying the stability and accuracy of structure imaging under the salt mounds in the steps from S1 to S7 based on the salt mound model.

Description

technical field [0001] The invention belongs to the technical field of prestack depth migration, and in particular relates to a method for two-way wave prestack depth migration based on matrix multiplication. Background technique [0002] Seismic migration imaging refers to the establishment of a suitable wave field extrapolation operator on the basis of a certain mathematical model (generally, the elastic wave or acoustic wave equation is used as the mathematical model of migration imaging), and the operator is used in the known macroscopic velocity field. Perform wave field extrapolation (backpropagation of waves) on the data observed on the surface, and reversely extrapolate the wave field observed on the surface to the reflection interface or diffraction point that produces the reflection (or diffraction), using appropriate The imaging conditions are used to calculate the imaging profile. The essence of seismic migration imaging is to use mathematical means to backpropa...

Claims

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Application Information

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IPC IPC(8): G01V1/28G01V1/30G01V1/36
CPCG01V1/282G01V1/30G01V1/36G01V2210/512
Inventor 尤加春王俊刘剑丽
Owner CHENGDU UNIVERSITY OF TECHNOLOGY
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