Myrontsov M. Solution of direct and inverse problems of electric and induction logging by method of integral (total) currents

The dissertation is devoted to development of the method for improving the accuracy of rocks' geoelectrical parameters by method of integral (total) currents. Using the electrical integrator and elementary rings model taking into account the mutual- and self-inductions of all rings of the system allows to create the high-performance algorithm to solve the direct problem with arbitrarily small preset error. A use of features of the set of equations for direct problem of electric and induction logging has allowed to create the high-performance algorithms for solving respective inverse problems. Practical application of these programs simplifies considerably research and development and permits to solve effectively problems of quantitative interpretation. The method of analysis for spatial resolution characteristics is proposed and the reliability of results for devices using in practice by now has been estimated as well as the geometry of 7-probe induction logging and 14-probe electric logging devices, whose spatial resolution characteristics permit to define reliably geoelectrical parameters for wide range of relevant models, was proposed.