Circulating minimization seismic data reconstruction method based on continuous operator splitting

Abstract

The invention provides a circulating minimization seismic data reconstruction method based on continuous operator splitting, and the method comprises the steps: obtaining collected original seismic data, and adaptively extracting an observation operator from the original seismic data; constructing an optimization problem of seismic data reconstruction according to an inversion theory based on the original seismic data and the observation operator; converting the constructed reconstruction optimization problem into a dual sub-problem and an original sub-problem by adopting a serialization strategy and a variational operator splitting method; minimizing the dual sub-problem by using a near gradient, minimizing the original sub-problem by using a non-local mean value, and continuously performing circulating until a convergence condition is met, so as to obtain an optimal reconstruction feasible solution; and keeping the original seismic data unchanged, and placing the optimal reconstruction feasible solution at an unobserved position to achieve the reconstruction of the seismic data. The method has high flexibility and adaptability, under-sampled seismic data can be reconstructed with high efficiency and high precision, and the continuity of seismic reflection is effectively improved.

Description

technical field [0001] The invention belongs to the technical field of seismic data reconstruction, in particular to a cyclic minimization seismic data reconstruction method based on continuous operator splitting. Background technique [0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art. [0003] During the field collection of seismic data, due to factors such as the terrain (deserts, mountains, swamps, forests, etc.), surface buildings (towns, dams, factories, transportation facilities, etc.) On a pre-designed survey network, the seismic data is spatially undersampled. Under-sampling of seismic data will lead to the lack of geophysical information reflecting the characteristics of underground media, which will seriously affect the accuracy of subsequent oil and gas exploration. In order to recover the missing geophysical information and improve the accuracy of subsequent ...

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Problems solved by technology

In fact, only seismic data containing linear events can satisfy the low-rank assumption above, that is, such methods are only suitable for reconstructing seismic data containing linear events, and cannot solve the problem of high-precision reconstruction of nonlinear events

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