We consider a one-dimensional incompressible flow through a porous medium undergoing deformations such that the porosity and the hydraulic conductivity can be considered to be functions of the flux intensity. The medium is initially dry and we neglect capillarity, so that a sharp wetting front proceeds into the medium. We consider the open problem of the continuation of the solution possibly in the case of onset of singularities, which can be interpreted as a local collapse of the medium. In particular we analyze the case in which the boundary pressure has a piecewise constant derivative.
Shock propagation in a onedimensional flow through deformable porous media / E.COMPARINI; M.UGHI. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 35 (2):(2000), pp. 119-132. [10.1023/A:1004839403743]
Shock propagation in a onedimensional flow through deformable porous media
COMPARINI, ELENA;
2000
Abstract
We consider a one-dimensional incompressible flow through a porous medium undergoing deformations such that the porosity and the hydraulic conductivity can be considered to be functions of the flux intensity. The medium is initially dry and we neglect capillarity, so that a sharp wetting front proceeds into the medium. We consider the open problem of the continuation of the solution possibly in the case of onset of singularities, which can be interpreted as a local collapse of the medium. In particular we analyze the case in which the boundary pressure has a piecewise constant derivative.File | Dimensione | Formato | |
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