A Method for Extracting Tomographic Components of Raw Gradients in Full Waveform Inversion

A technique of full waveform inversion and extraction method

Active Publication Date: 2019-06-25
CHINA UNIV OF PETROLEUM (BEIJING)
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Problems solved by technology

[0003] However, all existing methods have disadvantages in terms of efficiency or effect: 1) The method based on Born simulation splits the wave equation into two wave equations, one wave equation calculates the incident wave field, and the other wave equation calculates the scattered wave wave field, the velocity models of these two wave equations are the smooth background components of the original velocity model
Therefore, while this method incurs little additional computation, it separates poorly
In order to improve the separation effect, the inverse scattering imaging condition is increased by adaptive amplitude matching, but the usual adaptive amplitude matching has a large amount of calculation, and the extraction effect on weak signals such as tomographic mode is not good.

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  • A Method for Extracting Tomographic Components of Raw Gradients in Full Waveform Inversion
  • A Method for Extracting Tomographic Components of Raw Gradients in Full Waveform Inversion
  • A Method for Extracting Tomographic Components of Raw Gradients in Full Waveform Inversion

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[0026] The present invention will be described in detail below in conjunction with the accompanying drawings. However, it should be understood that the accompanying drawings are provided only for better understanding of the present invention, and they should not be construed as limiting the present invention.

[0027] The objective function of traditional full waveform inversion can be expressed as:

[0028]

[0029] Among them, d represents the forecast data; d 0 Represents the observed data; δd represents the data margin; if the P-wave velocity is the inversion parameter, then the gradient of the objective function to the P-wave velocity at position x is:

[0030]

[0031] Among them, v represents the P-wave velocity; Indicates the time second derivative of the source wave field; p r Represents the backpropagation residual wave field, x represents the position coordinate vector, for the two-dimensional model, it includes two components, and for the three-dimensiona...

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Abstract

The invention relates to a chromatography component extraction method of original gradient in full waveform inversion. The method is characterized by including: dividing the frequency spectrum of allowance in the full waveform inversion into several frequency bands, wherein one reference frequency is correspondingly set for each frequency band; using band-pass filtering to divide the allowance inthe full waveform inversion into several subsets, and performing back propagation on each subset allowance to obtain the original gradient of each subset allowance; calculating the truncation wave number of one element in the original gradient of one subset allowance; according to the calculated truncation wave number, using a Gaussian function to obtain the Gaussian smoothing filter of the spatial domain of the element; multiplying the Gaussian smoothing filter of the spatial domain of the element with the element to extract the chromatography component of the element; completing the chromatography component extraction of all the elements in the original gradient of all the subset allowance, and accumulating to obtain the chromatography component of the original gradient in the full waveform inversion. The chromatography component extraction method is widely applicable to the technical field of seismic data imaging inversion.

Description

technical field [0001] The invention relates to a method for extracting tomographic components of original gradients in full waveform inversion, and relates to the technical field of seismic data imaging inversion. Background technique [0002] Full waveform inversion includes migration mode and tomographic mode, refracted wave data mainly contributes tomographic mode, and reflected wave data contributes not only tomographic mode but also migration mode. In order to emphasize one of the modes, it is necessary to separate the two modes. This separation is very critical for the inversion of the reflected wave waveform, because the contribution of the reflected wave to the tomographic mode is much smaller than that to the migration mode. Scholars have proposed some methods to separate these two modes, such as Born simulation, separation of upper and lower wave fields, improved inverse scattering imaging conditions, and scattering angle filtering. [0003] However, all existing...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/30
CPCG01V1/30G01V2210/48
Inventor 姚刚吴迪
Owner CHINA UNIV OF PETROLEUM (BEIJING)
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