Step length calculation method and system suitable for waveform inversion

A technology of waveform inversion and calculation method, applied in the field of full waveform inversion, can solve the problems of ignoring the difference of model parameters at different positions, affecting the inversion effect, etc., to achieve the effect of improving accuracy and calculation efficiency

Pending Publication Date: 2021-10-26
INST OF GEOPHYSICS CHINA EARTHQUAKE ADMINISTRATION
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Problems solved by technology

In the inversion process, the subsurface structure model parameters (such as velocity, density, etc.) that need to be updated are a two-dimensional or three-dimensional matrix. The parameters such as velocity and density are different in different positions. If the same step size is used to update the model parameters, The difference of model parameters at different locations will be ignored, which will affect the inversion effect

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  • Step length calculation method and system suitable for waveform inversion
  • Step length calculation method and system suitable for waveform inversion
  • Step length calculation method and system suitable for waveform inversion

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specific Embodiment

[0052] 1) According to the existing geological data, the initial parameter model v of the underground structure is given k (k=0).

[0053] 2) Input the actual seismic exploration or seismological observation data collected in the field p obs ; The simulated data p obtained by using the wave equation numerical simulation method cal .

[0054] 3) Construct the objective function as follows:

[0055]

[0056] Where s and r are the number of shot points and receiver points, respectively.

[0057] 4) The objective function derives the model parameters to obtain the gradient direction g of the current iteration:

[0058]

[0059] Where λ is the residual backpropagation wave field, and t is time. Use the conjugate gradient method to calculate the search direction d in the current iteration k , as follows:

[0060] d k =-g k +β k-1 d k-1 (3)

[0061] where the scalar parameter g k-1 Represents the gradient of k-1 iterations, d k-1 Represents the search direction...

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Abstract

The invention discloses a step length calculation method and system suitable for waveform inversion. The method comprises the following steps of acquiring parameters of an underground structure model; constructing a target function; deriving model parameters through the objective function to obtain a gradient direction; calculating a search direction by using a conjugate gradient method according to the gradient direction; calculating a step length matrix according to the search direction; and updating parameters of the underground structure model according to the search direction and the step length matrix. According to the method, the step length matrix is calculated by fully utilizing the updated model parameter matrix information, so the corresponding step length is obtained at each grid point of the model, self-adaptive updating of each point of the model parameter is further realized, and precision and calculation efficiency of full waveform inversion are improved.

Description

technical field [0001] The invention relates to the technical field of full waveform inversion, in particular to a step size calculation method and system suitable for waveform inversion. Background technique [0002] The full waveform inversion method uses the amplitude and phase information in the pre-stack seismic wavefield to reconstruct the stratigraphic structure, which can provide high-precision elastic parameter information for seismic exploration and the study of the earth's internal structure. The full waveform inversion uses the inversion iteration method to fit the observed data and the simulated data, and the calculation of the step size is very important in this process. The calculation of the step size affects the calculation efficiency and calculation accuracy of the full waveform inversion. In recent years, many scholars have proposed calculation methods of step size, such as parabolic method (Vigh et al., 2009), direct solution method (Pica et al., 1990), ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/28
CPCG01V1/28G01V1/282
Inventor 马晓娜王伟涛杨微徐善辉安艳茹黄翔
Owner INST OF GEOPHYSICS CHINA EARTHQUAKE ADMINISTRATION
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