Quick sparse Radon transformation method based on iterative shrinkage

An iterative shrinking and fast technology, applied in the field of data processing, can solve the problems of large amount of calculation and slow speed of sparse Radon transform, and achieve the effect of reducing the amount of calculation

Active Publication Date: 2013-01-16
TSINGHUA UNIV
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Problems solved by technology

Since in each step of iteration, the weight matrix w m(t) is changing, so solving the formula (3) will involve a large matrix inversion problem, resulting in a large amount of calculation for the traditional sparse Radon transform method, and the slow speed of the sparse Radon transform

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  • Quick sparse Radon transformation method based on iterative shrinkage
  • Quick sparse Radon transformation method based on iterative shrinkage
  • Quick sparse Radon transformation method based on iterative shrinkage

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[0033] Embodiments of the present invention are described in detail below, examples of which are shown in the drawings, wherein the same or similar reference numerals designate the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the figures are exemplary only for explaining the present invention and should not be construed as limiting the present invention.

[0034] The present invention proposes a fast sparse Radon transform method based on iterative contraction, which is more suitable for seismic data processing with huge data volume, such as figure 1 As shown, the fast sparse Radon transform method based on iterative contraction includes the following steps:

[0035] S1: Set the initial value of the variable. In this embodiment, the variable that needs to be set to the initial value includes the threshold coefficient α, the iteration step size β, the maximum number of iterations N and the ...

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Abstract

The invention discloses a quick sparse Radon transformation method based on iterative shrinkage. The quick sparse Radon transformation method comprises the following steps: firstly, setting an initial variable value; secondly, constructing a transformation operator L and calculating generalized inverse (LTL)-1LT of the transformation operator L; thirdly, treating a seismic channel set d to be treated by utilizing the generalized inverse (LTL)-1LT of the transformation operator L; and lastly, judging if all channel sets in a seismic data cube are treated, if not, continuing to treat the seismic channel set d to be treated by utilizing the generalized inverse (LTL)-1LT of the transformation operator L, and if so, ending. According to the quick sparse Radon transformation method, for one seismic data cube collected by adopting the same collection parameters, the generalized inverse of the transformation operator L only needs to be calculated once, then the transformation operator L and the generalized inverse (LTL)-1LT of the transformation operator L are applied to all seismic channel sets, thereby greatly reducing calculated amount; and the iterative shrinkage algorithm only includes product operation of simple matrixes and vectors and threshold operation, greatly reduces the calculated amount relative to the conventional sparse Radon transformation, and better adapts to treatment of practical seismic data.

Description

technical field [0001] The invention belongs to the technical field of data processing, and relates to the processing of seismic data in seismic exploration technology, in particular to a fast and sparse Radon transformation method based on iterative contraction. Background technique [0002] Radon transform (RT) is widely used in seismic data processing, such as dealing with multiple waves and linear coherent noise suppression, wave field separation, data regularization and other issues (Trad, D., T. Ulrych, and M. Sacchi, 2003, Latest views of the sparse Radon transform: Geophysics, 68, 386–399). The mathematical definition of RT transform is as follows: [0003] d=Lm (1) [0004] Among them, d is the known seismic data, L is the known RT transformation operator, and m is the RT transformation domain model to be obtained. The RT transformation operator L is determined according to the seismic data acquisition parameters and RT transformation parameters. A seismic data ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/32
Inventor 陆文凯
Owner TSINGHUA UNIV
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