Abstract
The inverse problem of determining conductivity in the near-well space is considered. The combined formulation of the considered direct and inverse problems written in a cylindrical coordinate system is formulated. Have considered two methods of electrical exploration: high-frequency sensing and the method of transients. Using information from both methods, a combined formulation of the inverse problem is introduced. An optimization method is used to solve this problem numerically. The essence of this method is to minimize the weighted sum of the quadratic functional residuals of the observed and calculated fields of the high-frequency sensing method and the transient process method. For the numerical solution, consistent difference schemes for solving the direct and inverse problems of electrical exploration in a combined formulation are constructed