The present invention discloses a method,
system, medium and equipment for low-rank constrained reconstruction of five-dimensional seismic data, which comprises a data
tensor, a sampling
tensor, weight parameters of optimization terms and regularization terms, and the TR rank R1, ..., R1 of the matrix decomposed by the mode-{n, l} method along the direction. N Input seismic data to reconstruct the model and initialize the parameter Y 0 , #imgabs0# as the initial value; expand the low-rank reconstruction data
tensor of the current step, cross-optimize the variables using the sampling block
coordinate descent method during iteration, and use random sampling to improve computational efficiency. The low-rank reconstruction data is decomposed by mode-{n,l}#imgabs1#, and the optimal
decomposition matrix #imgabs2# is calculated. The training sample #imgabs3# is reconstructed using the tensor to obtain the next step #imgabs4#. Repeat these steps until the predetermined stopping criterion is met, obtaining the low-rank reconstruction result of the real data. All frequency components are combined and restored to the
original data format, achieving five-dimensional seismic
data reconstruction. This method has good reconstruction effect, reduces computing
resource consumption, and has broad industrial application prospects.