The book focuses on two issues related to mathematical and numerical modelling of flow in
unsaturated porous media. In the first part numerical solution of the governing equations is …

In this work, we consider a mathematical model for describing flow in an unsaturated porous
medium containing a fracture. Both the flow in the fracture as well as in the matrix blocks are …

This paper develops a general abstract framework for a posteriori estimates for immiscible
incompressible two-phase flows in porous media. We measure the error by the dual norm of …

Quantitative in situ monitoring of oil recovery from sedimentary rock is demonstrated for the
first time using advanced two-dimensional (2D) nuclear magnetic resonance (NMR) …

For the hyperbolic conservation laws with discontinuous-flux function, there may exist
several consistent notions of entropy solutions; the difference between them lies in the …

In the coarse-scale simulation of heterogeneous reservoirs, effective or upscaled flow
functions (eg, oil and water relative permeability and capillary pressure) can be used to …

We present an analytical method for calculating two‐phase effective relative permeability,,
where j designates phase (here CO2 and water), under steady state and capillary‐limit …

We consider the system of equations governing an incompressible immiscible two-phase
flow within a heterogeneous porous medium made of two different rock types. Since the …

In this work, we consider a mathematical model for flow in an unsaturated porous medium
containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow …

We consider a simplified model for vertical non-stationary groundwater flow, which includes
dynamic capillary pressure effects. Specifically, we consider a viscous Burgers-type …