Temperature Field in Inhomogeneous Strongly Anisotropic Medium with Sources

摘要

Using an “on-average exact” asymptotic method in a first approximationwe constructed an analytical solution to the problem on the temperature field of heat sources in an anisotropic layer and ambient medium with dominant vertical thermal conduction. Results on temperature calculations in application to oil-gas formations are presented. It is shown that in the Laplace–Carson space, the zero and first expansion coefficients of the exact solution in terms of the asymptotic parameter coincide with those constructed on the base of the proposed method.