RECOVERING OF THE RESERVOIR CONDUCTIVITY BY MEASUREMENTS ON THE SURFACE USING GPR DATA

Abstract

In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic pa- rameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gra- dient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given.