Article
Article name A New Method of Constructing Transition Formulas for the Solution of Filtration Problems in Isotropic Inhomogeneous Layers
Authors Tolpaev V.A.Doctor of Physics and Ma-thematics, Professor v.a.tolpaev@mail.ru
Kolesnikov A.V. svnipigz@gazprom.ru
Bibliographic description
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DOI
UDK 532.5
Article type
Annotation The paper considers the divergence equation on the plane that describes the filtration of fluids in reservoirs with functional permeability, which depends on two Cartesian coordinates. Through the substitution Salekhova equation is reduced to the Helmholtz equation with a functional factor. For a certain class of this factor, some formulas are derived to express the solution of the Helmholtz equation in terms of harmonic functions.
Key words divergence equations, Helmholtz equation, transition formulas, filtration of fluids in inhomogeneous layers.
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Full articleA New Method of Constructing Transition Formulas for the Solution of Filtration Problems in Isotropic Inhomogeneous Layers