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A Method Capable of Simultaneous 5D Seismic Data Reconstruction and Noise Suppression

A technology for seismic data and noise suppression, applied in seismology, seismic signal processing, geophysical measurement, etc., can solve the problems of slow convergence speed and long operation time, reduce requirements, improve reconstruction accuracy, and overcome insufficient reconstruction accuracy. Effect

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

Abma (2006) applied the POCS algorithm to the reconstruction of irregular seismic data for the first time, and achieved good application results, but the linear threshold parameter was used, the convergence speed was slow, and the calculation time was long

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  • A Method Capable of Simultaneous 5D Seismic Data Reconstruction and Noise Suppression
  • A Method Capable of Simultaneous 5D Seismic Data Reconstruction and Noise Suppression
  • A Method Capable of Simultaneous 5D Seismic Data Reconstruction and Noise Suppression

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Embodiment 1

[0044] The steps to realize this method mainly include the construction of reconstruction equation, convex set projection reconstruction algorithm, noise suppression by weighting factor, threshold parameter formula and so on. Specific steps are as follows:

[0045] Step 1: Construction of reconstruction equations. The seismic data reconstruction problem is described as recovering complete data from a set of incomplete data through the action of linear operators, assuming the following linear forward modeling model:

[0046] the y obs =Md

[0047] here y obs ∈ R n Represents the acquired seismic data; d∈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 and unknown seismic traces, respectively.

[0048] Assuming that the coefficient x is a sparse representation of d in the Fourier domain F, the above equation is:

[0049] the y obs =Md=MF H x=Ax

[0050] where A=MF ...

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Abstract

The present invention proposes a method capable of performing five-dimensional seismic data reconstruction and noise suppression at the same time. First, aiming at the lack of precision of low-dimensional data reconstruction, Fourier transform is used as a sparse basis, and data reconstruction is carried out by using five-dimensional seismic data information. In this process, the convex set projection algorithm is introduced, the threshold parameter of the exponential square root decay law is proposed, and the hard threshold operator is used to reconstruct each time slice separately, and then the weighting factor is introduced into the traditional convex set projection algorithm, so that in the reconstruction process The impact of noise on the reconstruction results was reduced, and finally a method capable of simultaneous 5D seismic data reconstruction and noise suppression was realized. The method for simultaneously performing five-dimensional seismic data reconstruction and noise suppression proposed by the present invention overcomes the shortcomings of traditional two-dimensional or three-dimensional seismic data reconstruction accuracy and the shortcomings of traditional methods that cannot simultaneously perform data reconstruction and noise suppression, and greatly improves reconstruction accuracy , reducing the requirements for computer memory.

Description

technical field [0001] The invention relates to a method for seismic data reconstruction and noise suppression, in particular to a method capable of simultaneously performing five-dimensional seismic data reconstruction and noise suppression based on Fourier transform. technical background [0002] In the process of field data acquisition, due to the limitation of acquisition equipment and economic cost, seismic data is usually sampled irregularly along the spatial direction, resulting in irregular and incomplete seismic data, and spatial aliasing. The seismic data can hardly meet the requirements of subsequent processing, such as velocity analysis, free surface multiple wave elimination, migration homing, etc. In this case, better pre-stack data reconstruction methods need to be developed. [0003] At present, the widely used data reconstruction method is based on a certain mathematical transformation, which does not require prior information of the subsurface structure, a...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/28
CPCG01V1/282
Inventor 张华杨海燕
Owner EAST CHINA UNIV OF TECH
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