Seismic inversion method and system based on generalized total variation regularization

A seismic inversion and total variation technology, applied in the field of seismic exploration, can solve problems such as stratigraphic step effects

Active Publication Date: 2018-05-15
UNIV OF ELECTRONIC SCI & TECH OF CHINA
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0008] The purpose of the present invention is to solve the problem that the existing seismic inversion technology adopts full variation regularization to pro

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  • Seismic inversion method and system based on generalized total variation regularization
  • Seismic inversion method and system based on generalized total variation regularization
  • Seismic inversion method and system based on generalized total variation regularization

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Embodiment 1

[0142] This embodiment provides a seismic inversion method based on generalized total variation regularization, in which the second-order generalized total variation is used as an example for illustration, combined with figure 1 The flow process of the inventive method is described:

[0143] Step 1: Enter and create the data required for the inversion

[0144] Step 1.1: Input seismic data, logging data, horizon interpretation information;

[0145] Step 1.2: Extract the seismic wavelet W according to the data input in step 1.1, and create the initial model of the parameters to be inverted;

[0146] Step 2: Establish and solve the objective function

[0147] The objective function J is:

[0148]

[0149] where W is the wavelet matrix; L is the logarithm of the parameters to be inverted; S is the observed seismic record matrix; L' is the logarithm of the initial model of the parameters to be inverted; μ is the generalized full variational regularization coefficient; η is t...

Embodiment 2

[0204] This embodiment provides a seismic inversion system based on generalized total variation regularization based on the above embodiments, mainly including:

[0205] Objective function generation module: used to generate the objective function J of the generalized full variation regularization constraint with the logarithm of the parameter to be inverted;

[0206] Objective function transformation module: perform Fourier transformation on the objective function J to obtain the frequency domain expression of the objective function;

[0207] Inversion parameter solution module: Use the alternating direction multiplier method to solve the frequency domain expression of the objective function and iteratively update the parameters until the natural logarithm L of the parameter to be inverted is L 2 The inversion result is output when the relative change of the norm is smaller than the preset threshold tol.

Embodiment 3

[0209] On the basis of Embodiment 2, the system of the present application is further described in detail:

[0210] 1. The workflow of the objective function generation module is as follows:

[0211] Seismic data, well logging data, and horizon interpretation information need to be input. At the same time, seismic wavelet W must be extracted based on the data, and an initial model of the parameters to be inverted should be created. Then, the objective function J should be created based on the above parameters:

[0212]

[0213] where W is the wavelet matrix; L is the logarithm of the parameters to be inverted; S is the observed seismic record matrix; L' is the logarithm of the initial model of the parameters to be inverted; μ is the generalized full variational regularization coefficient; η is the initial model constraint regularization coefficient; v is the auxiliary variable; TGV(L) represents the generalized total variation of L, D is the difference matrix, α 0 、α 1 ar...

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Abstract

The invention discloses a seismic inversion method and system based on generalized total variation regularization, so as to solve the problem that step effects are generated inside a formation when the existing seismic inversion technology adopts total variation regularization. The method uses the characteristic that generalized total variation not only uses first-order partial derivative information of a to-be-inverted parameter but also uses second or higher-order information, the formation interface can be clearly expressed and the step effects inside the formation can also be weakened; besides, a phenomenon that a product of a wavelet matrix, a difference matrix and the natural logarithm of the to-be-inverted parameter can be used to be converted to the convolution among a convolutionkernel corresponding to the wavelet matrix, a convolution kernel corresponding to the difference matrix and the natural logarithm of the to-be-inverted parameter is found out, the convolution operation in a time domain is converted to point multiplication operation in a frequency domain, and the inversion speed is greatly improved; a reflection coefficient does not need to be inverted firstly, anddirect inversion is carried out in the frequency domain to obtain the to-be-inverted parameter; and the method and the system are applicable to the technical field of seismic exploration.

Description

technical field [0001] The invention belongs to the technical field of seismic exploration, and relates to a seismic inversion method and system based on generalized full variation regularization. Background technique [0002] Geophysical parameters such as wave impedance, P-wave velocity, density and porosity are closely related to rock properties. Therefore, inversion of geophysical parameters has always been a research hotspot in the field of exploration seismology. In recent years, researchers have found that using the Total Variation (TV) regularization method can obtain blocky inversion results, so this method has received attention in seismic inversion. In addition, the researchers also found that compared with the traditional trace-by-trace inversion method, the multi-trace simultaneous inversion method takes into account the connection between multiple adjacent seismic data, which can make full use of the lateral continuity information of seismic data and improve ...

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Application Information

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IPC IPC(8): G01V1/32G01V1/30
CPCG01V1/30G01V1/32
Inventor 彭真明李曙汪春宇马淼吴昊王雨青陈颖频刘伟廖龙赵学功杨立峰
Owner UNIV OF ELECTRONIC SCI & TECH OF CHINA
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