Method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression

A seismic data and noise suppression technology, applied in seismology, seismic signal processing, geophysical measurement, etc., can solve problems such as slow convergence speed and long computing time

Inactive Publication Date: 2016-09-28
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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  • Method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression
  • Method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression
  • Method of simultaneously carrying out five-dimensional 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 invention provides a method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression. Firstly, in view of the defect of insufficient low-dimensional data reconstruction precision, Fourier transform is adopted as a sparse basis, five-dimensional seismic data information is used for data reconstruction, a projection onto convex sets algorithm is introduced during the process, a threshold parameter for an exponential square root decay law is provided, and a hard threshold operator is adopted to carry out independent reconstruction on each time slice; then, a weighting factor is introduced in the traditional projection onto convex sets algorithm, and thus, influences on the reconstruction result by noise during the reconstruction process are reduced; and finally, the method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression can be realized. According to the method of simultaneously carrying out five-dimensional seismic data reconstruction and noise suppression provided by the invention, defects that the traditional two-dimensional or three-dimensional seismic data reconstruction precision is insufficient and the traditional method cannot simultaneously carry out data reconstruction and noise suppression are overcome, the reconstruction precision is greatly improved and requirements on memory of a computer are reduced.

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 Applications(China)
IPC IPC(8): G01V1/28
CPCG01V1/282
Inventor 张华杨海燕
Owner EAST CHINA UNIV OF TECH
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