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A Reconstruction Method of 3D Irregular Seismic Data in Frequency Domain

A technology of seismic data and 3D seismic, applied in the direction of seismic signal processing, etc., can solve the problems of improving the signal-to-noise ratio of local anomalies, restricting applications, and increasing the number of iterations, so as to reduce computational complexity, save computing time, and improve reconstruction accuracy Effect

Inactive Publication Date: 2018-10-19
EAST CHINA UNIV OF TECH
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Problems solved by technology

), however, this method reconstructs in the time domain and only uses hard threshold parameters for processing. When the reconstruction data contains both high and low energy amplitude events, the POCS algorithm is below the threshold parameter in the previous few iterations. The event coefficient of the event is filtered out, so these methods have limited effect on reconstructing the low-amplitude significant wave event, and cannot fully restore the low-energy event of the seismic signal and improve the signal-to-noise ratio of the local anomaly area, and the number of iterations is large, and the reconstruction Low efficiency restricts the further application of this method

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  • A Reconstruction Method of 3D Irregular Seismic Data in Frequency Domain
  • A Reconstruction Method of 3D Irregular Seismic Data in Frequency Domain
  • A Reconstruction Method of 3D Irregular Seismic Data in Frequency Domain

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Embodiment 1

[0041] The steps to realize this method mainly include the construction of reconstruction equation, transformation from time domain to frequency domain, projection reconstruction algorithm of convex set, threshold parameter processing and so on. Specific steps are as follows:

[0042] Step 1: Construction of reconstruction equations. The problem of seismic data reconstruction can be described as recovering complete data from a set of incomplete data through the action of linear operators, assuming the following linear forward model

[0043] the y obs =Mf

[0044] here y obs∈ R n Represents the acquired seismic data; f∈R N , and N≥n, means the data to be reconstructed without aliasing frequency; M∈R n×N Represents a diagonal matrix, whose elements 1 and 0 represent known seismic traces and unknown seismic traces respectively, assuming that the coefficient x is a sparse representation of f in the curvelet domain C, the above equation can be written as

[0045] the y obs ...

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Abstract

The present invention proposes a method for reconstructing three-dimensional irregular seismic data in the frequency domain, which is characterized in that firstly, Fourier transform is used to transform the three-dimensional seismic data in the time domain into the frequency domain, and then the idea of ​​convex set projection algorithm is adopted and the localization of seismic data can be described Curvelet transform of features; in the iterative process, a new threshold parameter that decays according to the exponential law is proposed, and a soft threshold operator is used to reconstruct each frequency slice separately, thereby reducing the number of iterations and improving the reconstruction accuracy, achieving three-dimensional reconstruction Purpose of Seismic Data. The present invention proposes a new threshold parameter that decays according to an exponential law, uses a soft threshold operator to reconstruct each frequency slice separately, overcomes the disadvantage of slow convergence speed of the traditional threshold parameter, reduces the computational complexity of the algorithm, and greatly The calculation efficiency is greatly improved and the calculation time is saved.

Description

technical field [0001] The invention relates to a method for reconstructing missing trace seismic data, in particular to a method for reconstructing three-dimensional irregular seismic data in the frequency domain. technical background [0002] In the process of field data acquisition, due to the limitation of acquisition equipment, project cost and terrain conditions, the seismic data along the spatial direction is usually lower than the requirement of Nyquist sampling theorem for irregular sampling, resulting in irregular and irregular seismic data. Incomplete, spatial aliasing occurs, and it is difficult to meet the requirements of subsequent processing, such as velocity analysis, free surface multiple elimination, migration homing, etc. In this case, it is necessary to develop better seismic data reconstruction methods to reconstruct The missing seismic traces can be used to obtain seismic data that meets the processing requirements, and this method can also guide field ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/36
CPCG01V1/36
Inventor 张华邓红珍杨海燕
Owner EAST CHINA UNIV OF TECH
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