Structure-oriented direction generalized total variation regularization method for denoising seismic data
A structure-oriented, seismic data technology, applied in the field of seismic exploration, can solve problems such as unsuitable processing of seismic data, achieve the effects of maintaining horizontal continuity and vertical resolution, improving signal-to-noise ratio, and good geological structure characteristics
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[0123] The implementation algorithm and experimental effect of the SADTGV regularization technology proposed by the present invention will be described in detail below in conjunction with the accompanying drawings.
[0124] (1) Realization of SADTGV regularization technology
[0125] Since the functional in the minimization problem (10) is a convex functional, so this problem can be solved using a convex optimization algorithm. Considering the simplicity of algorithm realization, the present invention adopts existing Chambolle-Pock primitive-dual algorithm to solve minimization problem (10), and concrete solution steps are as follows:
[0126] (1) Write the primal-dual format of the minimization problem (10):
[0127]
[0128] In the formula,
[0129]
[0130] Represents a collection of real symmetric matrices of order 2.
[0131] (2) The Chambolle-Pock primal-dual algorithm for solving the minimization problem (10):
[0132] The first step, initialization: q...
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