Filtration in inhomogeneous curved strata with a certain class permeability

Two-dimensional steady filtration flows of a homogeneous incompressible liquid (obeying D'Arcy's law) in inhomogeneous curved strata with variable permeability is studied. A novel extensive class of permeabilities for which the pressure head function is written in explicit form is obtained and studied. The pressure head function is given in explicit form for flows from sources situated at any point of the stratum.