Complex analysis methods are applied to determine a velocity field of seepage in a heterogeneous infinite planar medium consisting of two dissimilar homogeneous components with a parabolic interface. New cases with arbitrary ...

Two-dimensional, doubly periodic, three-phase structures are considered in the situation where mean fluxes are applied across the structure. The approach is to use complex variables, and to use a mapping that reduces the ...

The pioneering solution of Zhukovskii for a steady two-dimensional flow of an ideal heavy fluid with a nonlinear free boundary condition is extended to a Darcian flow of groundwater encumbered by an impermeable barrier. ...

© 2015 Elsevier Inc. A 2-D potential steady-state field in an infinite homogeneous matrix with one (n-1)-phased concentric annular inclusion is investigated. It is supposed that the power field in this structure is generated ...

An R-linear conjugation problem for a planar structure consisting of an isotropic strip and adjacent half-plane with contrasting permeabilities is solved. The whole structure is bounded from above by an equipotential line. ...

We derive an explicit analytical solution for the conjugation problem in a heterogeneous infinite planar structure consisting of two dissimilar homogeneous media with two branches of a hyperbola as an interface. We investigate ...

© 2019 Elsevier B.V. A fully-saturated lens of steady fresh groundwater floating in a homogeneous and isotropic desert sandy aquifer is analytically studied based on a hydrological model by Kunin and interface solution by ...

Analytical methods unifying the study of heat conduction in various type of composite materials are described. Analytical formulas for the effective (macroscopic) conductivity tensor are presented.

Explicit rigorous solution to a steady-state J. Bear (Dynamics of Fluids in Porous Media. Elsevier, New York, 1972) problem of brine flow in an anticline homogeneous isotropic rock with a gas cap under the anticline crest ...

Resting gas, oil and combined traps in equilibrium with moving water are studied by the methods of complex analysis (conformal mapping of hodograph circular polygons onto the strip in the complex potential plane). For a ...