Some one-dimensional inverse problems in electric borehole logging are considered, particularly those important to prospecting for oil and gas deposits. It is shown that the solutions to these inverse problems are unique for certain particular cases of the conductivity distribution. A numerical algorithm is derived for solving the direct problem in electric logging for a certain class of models, and another algorithm is described for solving the inverse problem for a layered model. Results are given from numerical experiments.
Московский государственный университет имени М.В. Ломоносова, физический факультет, кафедра математики. Россия, 119991, Москва, Ленинские горы, д. 1, стр. 2
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