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Seismic image completion method of fast double-interpolation POCS

A seismic image and interpolation technology, applied in seismic signal processing, complex mathematical operations, etc., can solve the problems of low calculation efficiency and slow iteration speed, achieve fast convergence speed, speed up convergence speed, and ensure the effect of simple calculation.

Inactive Publication Date: 2020-06-12
CHENGDU UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

However, the existing convex set projection algorithm still has the problem of slow iteration speed: for example, for a seismic data with a missing rate of 30%, the POCS algorithm is used for interpolation. Although the seismic data can be recovered well, it often takes about 170 times The number of iterations, the computational efficiency is not high

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Embodiment Construction

[0026] The realization process of the present invention comprises:

[0027] 1. Seismic data interpolation principle

[0028] In the process of actual seismic data collection in the field, due to the influence of various factors, we usually collect some under-sampled data, and record these collected irregular random seismic data as d obs , the complete data expected to be obtained is denoted as d, and the two are linked using the following formula:

[0029] d obs = Md (1)

[0030] Among them, M is a diagonal matrix composed of 0 and 1 as a sampling operator.

[0031] In order to facilitate interpolation, according to the principle of compressed sensing, we project the seismic data into the transform domain, namely:

[0032] d obs =Md=Mθψ (2)

[0033] where θ∈R n×m , is a synthesis operator of an orthogonal coordinate system, and is a tight frame, and ψ is the representation coefficient of the transform domain. However, formula (2) is an underdetermined equation with mul...

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Abstract

The invention discloses a seismic image completion method of a fast double-interpolation POCS applied to the field of seismic data processing, and in order to solve the problem of low calculation efficiency in the prior art, a specific linear combination of first two iterative process results is used as an iterative contraction operator, and then double interpolation is carried out, so that complete seismic data is recovered; compared with a traditional POCS method, the method provided by the invention has a faster convergence speed, and the high efficiency and effectiveness of the fast dual-interpolation algorithm are verified on real seismic data.

Description

technical field [0001] The invention belongs to the field of seismic data processing, in particular to a seismic image complementing technology. Background technique [0002] In the process of field seismic exploration, the acquisition of reflection seismic data is a multi-dimensional process. Due to the failure of acquisition instruments, the influence of terrain factors, and some other geographical and financial constraints, the acquired seismic records are incomplete. , thus leading to an important topic: to interpolate the missing sampling seismic records to reconstruct the complete seismic data, and then to obtain accurate geological information. [0003] Seismic data interpolation methods can be roughly divided into two categories: (1) interpolation using linear spatial prediction filters (2) interpolation using transform types such as Fourier transform. The present invention is primarily concerned with methods based on the Fourier transform. Among the interpolation ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/28G01V1/36G06F17/15
CPCG01V1/28G01V1/36G06F17/15
Inventor 李勇马泽川陈力鑫陈杰王鹏飞李雪梅郝思宇
Owner CHENGDU UNIVERSITY OF TECHNOLOGY
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