Kyrill Mikhaylovich Zubarev (Bauman Moscow State Technical University) :


519.6 Numerical solution of the problem of electrophysical parameter recovery using results of ac sounding

Krasnov I. K. (Bauman Moscow State Technical University), Zubarev K. M. (Bauman Moscow State Technical University), Ivanova T. L. (Bauman Moscow State Technical University)

doi: 10.18698/2309-3684-2018-1-4154

The problem of the electrophysical parameter recovery of layered media, which is the inverse problem of mathematical physics, is solved on the basis of the electromagnetic field measurement results. Various optimization methods for its solution are formulated. The mathematical model is proposed for a horizontally layered medium with specified parameters consistent with real values. The algorithm is developed for solving the direct problem allowing finding an analytical solution for various environmental parameter values. For solving inverse problems the complete enumeration and Hook - Jeeves methods as well as the developed modified method of complete enumeration are used. According to the results of solving the direct problem, the characteristic features of the medium are found for various values of the electrophysical parameters. When solving the inverse problem using various optimization methods, the features of each algorithm are described.

Краснов И.К., Зубарев К.М., Иванова Т.Л. Численное решение задачи восстановления электрофизических параметров по результатам зондирования переменным током. Математическое моделирование и численные методы, 2018, № 1, с. 41-54