A Regularization Method for High-Dimensional Seismic Data Constrained by Radon Spectrum
A seismic data and spectral constraint technology, applied in seismic signal processing and other directions, can solve problems such as uneven coverage of seismic data, and achieve the effects of solving uneven coverage of seismic data, high computing efficiency, and improving lighting conditions
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[0076] Two specific examples of realizing the regularization method for high-dimensional seismic data under the Radon spectrum constraint of the present invention are as follows:
example 1
[0077] Example 1: An experimental example of using the method of the present invention to regularize an analog data body.
[0078] First, a simulation data volume is defined, which contains five linear events with different apparent velocities.
[0079] figure 1 , figure 2 Corresponding to the simulated regular data and irregular data respectively. in, figure 1 is the original rule data; figure 2 yes figure 1 The irregular data volume formed by randomly sampling half of the data in the shown data volume. Depend on figure 2 The spatial coordinate value of each seismic trace in the shown data volume can obtain the covariance matrix C of the data space corresponding to the seismic data D . right figure 2 Radon transformation is performed on the data volume shown to obtain the energy distribution diagram of the data volume in the Radon domain (such as image 3 shown), according to the relationship between the Radon transform and the Fourier transform, the energy dist...
example 2
[0081] Example 2: Using the method of the present invention to carry out regularization processing on offshore 4-dimensional seismic data (co-azimuth data).
[0082] Figure 8 , Figure 9 Represents the original seismic data in the field. Figure 8 Shown is the original co-azimuth gather at a certain CMP point collected at sea; Figure 9 yes Figure 8 Partial zoom in box A. As can be seen, Figure 8 The seismic data volume shown is irregularized.
[0083] A high-dimensional (4-dimensional) Voronoi diagram is constructed from the spatial coordinates (4-dimensional coordinates in this example) of the field seismic data. The covariance matrix C of the data space can be calculated from the obtained Voronoi diagram D .
[0084] Perform linear Radon transformation on the field seismic data to obtain the energy distribution of the seismic data in the Radon domain, and according to the relationship between the Radon transformation and Fourier, convert this energy distribution ...
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