RT Journal Article ID 048c03747aebc873 A1 de Moraes, Gabriel A1 de S. Teixeira, Renan A1 de B. Alves, Leonardo S. T1 VALIDITY OF PARAMETRIC RESTRICTIONS TO THE MODIFIED BUCKLEY-LEVERETT EQUATIONS JF Journal of Porous Media JO JPM YR 2016 FD 2016-10-04 VO 19 IS 9 SP 811 OP 819 K1 total variation diminishing schemes K1 Runge-Kutta schemes K1 strong stability preserving properties AB A modified version of the regularized Buckley-Leverett equation is studied. It is shown that adequate numerical schemes with nonlinear numerical stability properties should be employed to capture the different compressible and under-compressive shock waves, as well as rarefaction waves, present in this model. Otherwise, unphysical non-monotonic behavior will be artificially produced, which might lead to an incorrect physical interpretation of the problem under study. An example is shown where this oscillatory behavior led to the imposition of an unnecessary restriction on the possible values of the regularization parameter of this model. The schemes presented here can and have been extended to more complex flow models. PB Begell House LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,30a4f12f75672f7f,048c03747aebc873.html