Multiscale mixed methods based on non-overlapping domain decompositions can efficiently
handle the solution of significant subsurface flow problems in very heterogeneous …

Non-equilibrium models are applicable in various physical situations, including phase
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …

We construct a new computational model to describe coupled 3D/1D flow in carbonate rocks
intertwined by a network of karst cave conduits. The proposed approach shows ability to …

In this work we formulate and test a new procedure, the Multiscale Perturbation Method for
Two-Phase Flows (MPM-2P), for the fast, accurate and naturally parallelizable numerical …

In the presence of strong heterogeneities, it is well known that the use of explicit schemes for
the transport of species in a porous medium suffers from severe restrictions on the time step …

The numerical simulation of the flow in oil reservoirs has become, over decades, a standard
tool applied by the oil and gas industry to forecast the behavior of a hydrocarbon producing …

In this work we are interested in the (ill-posed) inverse problem for absolute permeability
characterization that arises in predictive modeling of porous media flows. We consider a …