Clarification to the problem statement on searching for positions and amplitudes of the reflection coefficients in the medium on seismic trace
In this paper, the authors continue to study the problem of searching for positions and amplitudes of the reflection coefficients (SP&ARCM) of the medium. A practical algorithm for solving the inverse problem of obtaining geological information from the seismic trace was proposed by the authors in previous studies [4, 9, 10]. The technique of the Л0 algorithm proposed by the authors is developed. The operator and optimization approaches to the solution are analyzed. The rationale for the specialization of the algorithm Л0 with the help of sequential regularization is provided. Calculations for the limiting accuracy of optimization of the algorithm Л0 are presented. Options of the initialization of the optimization process of the algorithm Л0 are considered, enabling acceleration of the convergence. The authors carried out successful approbation of the algorithm Л0 on synthetic data. Further practical development of the algorithm Л0 will be aimed at increasing the stability of its operation, as well as in application in more complex models and real seismic data. The practical value of the data obtained is to increase the resolving power of the wave field by reducing the contribution of interference, which gives new information for seismic-geological modeling.