Source separation using multistage inversion with radon in the shot domain

A computing system comprising:

• one or more processors;
• and
• a memory system including one or more non-transitory computer-readable media storing instructions that, when executed by at least one of the one or more processors, cause the computing system to perform operations, the operations including:
• receiving blended seismic data from a plurality of seismic sources, the blended seismic data includes pressure measurements, particle motion measurements, or both;
• applying a transform to the blended seismic data to decompose the blended seismic data into different parameters, the parameters include directions, dips, slownesses, or a combination thereof;
• applying multiple independent sparse inversions to the different parameters;
• defining a set of prior information techniques to be used within the multiple independent sparse inversions, the set of prior information techniques is configured to enhance a sparsity of a mode of a signal of interest in the blended seismic data at the different parameters;
• determining an energy part of the blended seismic data that is greater than a first predetermined threshold based at least partially upon the multiple independent sparse inversions and the set of prior information techniques;
• predicting an interference of the blended seismic data based at least partially upon the energy part;
• and
• removing the energy part and the interference from the blended seismic data to produce modified seismic data.

A non-transitory computer-readable medium storing instructions that, when executed by at least one processor of a computing system, cause the computing system to perform operations, the operations comprising:

• receiving blended seismic data from a plurality of seismic sources, the blended seismic data includes pressure measurements and particle motion measurements;
• applying a transform to the blended seismic data to decompose the blended seismic data into different directions, dips, and slownesses;
• applying multiple independent sparse inversions to the different directions, dips, and slownesses;
• defining a set of prior information techniques to be used within the multiple independent sparse inversions, the set of prior information techniques is configured to enhance a sparsity of a mode of a signal of interest in the blended seismic data at the different directions, dips, and slownesses, and the set of prior information techniques causes interference in the blended seismic data to become more incoherent;
• determining an energy part of the blended seismic data that is greater than a first predetermined threshold based at least partially upon the multiple independent sparse inversions and the set of prior information techniques, the multiple independent sparse inversions stop based at least partially upon a value of the energy part;
• predicting an interference of the blended seismic data based at least partially upon the energy part;
• removing the energy part and the interference from the blended seismic data to produce modified seismic data;
• and
• displaying the modified seismic data.