Applied Physics and Mathematics Annotation << Back THE PROBLEM OF RADIAL FILTRATION IN SEMI&#63162;INFINITE MEDIA SEPARATED BY LAYER WITH DIFFERENT PROPERTIES А.I. FILIPPOV, О.V. AKHMETOVA, А.А. KOVALSKIY The work is devoted to the investigation of the pressure field in the axially symmetric filtration of a liquid in a three-layer inhomogeneous anisotropic formation surrounded by semiinfinite permeable media in the regime of a given selection (injection). The central layer and the environment are assumed to be anisotropic. The pressure fi eld is sought by solving the conjugation problem for the piezoconductivity equation supplemented by a formal parameter. On the basis of the asymptotic method based on the expansion according to the formal parameter, a zero approximation of the problem has been found. It is shown that the corresponding zero approximation of the problem for the remainder term is turned into a zero. Keywords: filtration, pressure field, conjugation problem, asymptotic method. Contacts: E-mail: filippovai@rambler.ru, E-mail: ahoksana@yandex.ru, E-mail: aakov68@mail.ru Pp. 37-47.