Mathematical models for processing and interpreting seismic data in a new seismic survey method

In the present work, a semi-analytical mathematical model is presented for application in a new seismic survey method with vertically positioned seismic receivers. This model describes the propagation of an acoustic impulse vertically in a layered structure with inclined boundaries of layers, with consideration of the main parameters of rock formations such as layer thicknesses, densities, velocities of acoustic wave propagation in rocks, the quality factors of these layers and the angles of boundary inclination. A comparison is made between the theoretical seismogram based on the semi-analytical model and the results of exact modeling in the Comsol Multiphysics software package. An algorithm for signal filtering in experimental seismograms is developed to extract signals coming vertically. A method of least squares is produced for determining acoustic and geological parameters of rock formations automatically (without the participation of a geologist-interpreter) to search for the global minimum of the objective function, validated by comparing the calculated parameters with data from a specific geological section.