ARAÚJO, J. A.; http://lattes.cnpq.br/6514274505113040; ARAÚJO, Juliana Aragão de.
Résumé:
In this work we prasent the Riemann solution for a system of conservation laws
associatcd to an unidimensional two-ph&sc fiow in a porous media taking into account
the hysteresis effects on the permeability curves. Our main contribution in this work
is that the solution of the Riemann problem is obtained for a model that takes into account
the hysteresis in both wetting and non-wetting phases and considers the scanning
curves of embebition and drainagc distincts whenever there is a reversion of regime.
The results obtained here improve those obtained for a simplified model where hysteresis
is considered only on the non-wetting phase and the scanning curves coincide aftcr
a second reversion of regime. Once obtained the solution of the Riemann problem,
which is basic for the construction of high aceurate numeric simulators, we compare
this solution and that one already obtained, for the same initial data. showing that
not only the speeds of waves can be distinct, but also the sequences of waves in such
Solutions.