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Applied Physics and Mathematics

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TEMPERATURE FIELD OF THE FORMATION AFTER TERMINATION OF THE FILTRATION OF THE HEAT GENERATING SOLUTION
А.I. FILIPPOV, О.V. AKHMETOVA, А.А. KOVALSKIY, I.F. KABIROV

An asymptotic solution is obtained for the problem of the temperature fi eld arising when the reactive solvent is held in a layered heterogeneous, orthotropic formation. The temperature perturbations caused by previous technological processes are taken into account, which makes it possible to use the solution obtained for calculations under conditions of repeated cyclic action. The sources of temperature disturbances are the release of heat due to a chemical reaction (or radioactive decay), changes in the temperature of the acid solution (or radioactive substances) injected into the formation, and therefore the solution covers a wide range of processes of thermoacid and radioactive eff ects. The realized method of constructing the solution is the development of an “on the average exact” asymptotic method proposed by the authors, as applied to problems with non-zero initial conditions. The results of calculations of spatio-temporal temperature distributions during the technological exposure of a pumped aqueous solution of hydrochloric acid to a carbonate-containing reservoir are presented.
Key words: technological aging, «on the average exact» asymptotic method, remainder term, averaging, zero expansion coeffi cient.

Contacts: E-mail: fi lippovai@rambler.ru, E-mail: ahoksana@yandex.ru, E-mail: aakov68@mail.ru

Pp. 56-69.

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