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A Method of Two-Way Wave Prestack Depth Migration Based on Matrix Decomposition

A technology of pre-stack depth migration and matrix decomposition, which can be used in measurement devices, instruments, scientific instruments, etc., and can solve problems such as instability of complex media

Active Publication Date: 2021-02-09
CHENGDU UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

Wu et al. (2012) established the use of the Beamlet operator in the one-way wave propagation operator to migrate the depth of the two-way wave, but this method shows instability in the imaging of complex media

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  • A Method of Two-Way Wave Prestack Depth Migration Based on Matrix Decomposition
  • A Method of Two-Way Wave Prestack Depth Migration Based on Matrix Decomposition
  • A Method of Two-Way Wave Prestack Depth Migration Based on Matrix Decomposition

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Embodiment Construction

[0074] 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.

[0075] According to an embodiment of the present application, the matrix factorization-based two-way wave prestack depth migration method of this solution includes:

[0076] S1. Construct the frequency-domain acoustic wave equation in a two-dimensional constant density medium;

[0077]

[0078] Among them, x and z represent the horizontal and vertical coordinates respectively, v(x,z) represents the medium velocity, is ...

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Abstract

The invention discloses a two-way wave pre-stack depth migration method based on matrix decomposition. According to a one-way wave migration algorithm, a partial derivative of a wave field value at the earth surface to the depth direction is estimated by starting with boundary conditions required for solving a two-way wave equation and utilizing the wave field value recorded at the earth surface and a two-way wave depth migration equation based on a vertical wave number and a trigonometric function of the vertical wave number is derived and constructed by utilizing the two boundary conditions;and furthermore, the two-way wave depth migration equation is accurately solved by utilizing a matrix decomposition theory, so that a problem that the two-way wave depth migration scheme is unstableto solve in the existing literature is solved. Besides, the calculation of the impulse response in the strong speed change medium proves that the calculation result of the method provided by the invention is consistent with a result of finite difference calculation, so that the calculation accuracy of the algorithm is embodied; after imaging of a salt hill model, the accurate and stable imaging capability of the algorithm on a strong speed change medium is verified, and the superiority of the algorithm in imaging is embodied.

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 decomposition. 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 section. The essence of seismic migration imaging is to use mathematical means to backpropag...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/28G01V1/30G01V1/36
CPCG01V1/28G01V1/282G01V1/30G01V1/36
Inventor 尤加春王俊刘剑丽
Owner CHENGDU UNIVERSITY OF TECHNOLOGY
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