A Method for Seismic Data Reconstruction
A technology of seismic data and coefficients, applied in the fields of seismology, seismic signal processing, geophysical measurement, etc., can solve the problems of low accuracy of reconstruction data and slow calculation speed of seismic data reconstruction, achieve fast calculation speed, high calculation accuracy, improve The effect of computational efficiency
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Embodiment 1
[0050] Embodiment 1 provides a seismic data reconstruction method, the seismic data reconstruction method includes the following steps:
[0051] Step A: Obtain the seismic data to be reconstructed and its acquisition matrix;
[0052] Here, the seismic data to be reconstructed may be the seismic data obtained after the preprocessing of the collected original seismic data, or the data processed by stacking, migration, etc. First, the seismic data to be reconstructed and the acquisition matrix corresponding to the seismic data need to be obtained.
[0053] Step B: perform block processing on seismic data and acquisition matrix;
[0054]Here, the block method adopted may be overlapping blocks or non-overlapping blocks. The seismic data to be reconstructed and the acquisition matrix adopt the same block method.
[0055] Step C: Establishing a sparse inversion model regularized by the hyperbolic tangent function of the seismic data of each small block and its corresponding acquis...
Embodiment 2
[0082] Embodiment 2 provides a seismic data reconstruction method. On the basis of Embodiment 1, Embodiment 2 makes another equivalent expression for Step D of Embodiment 1:
[0083] Step D uses the modified Newton-projection method to obtain the optimal solution of the sparse inversion model, and the specific steps include:
[0084] Step D21: Set the number of iterations IterN, initial hyperparameter σ 0 and the termination iteration hyperparameter σ IterN , and take the observed seismic data as the initial solution d 0 ;
[0085] Step D22: Calculate the coefficient x of the iterative solution of the current k-th iteration in the transform domain k =Fd k , where k represents the iteration number; F represents the Fourier transform; when k=0, represents the initial iteration, d k Represents the seismic data reconstructed at the kth iteration;
[0086] Compute the modified Newton direction for the current k-th iteration:
[0087]
[0088] In the formula, σ k is the h...
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