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[کتاب][B] Modelling water flow in unsaturated porous media: accounting for nonlinear permeability and material heterogeneity
A Szymkiewicz - 2012 - books.google.com
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 …
unsaturated porous media. In the first part numerical solution of the governing equations is …
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media
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 …
medium containing a fracture. Both the flow in the fracture as well as in the matrix blocks are …
A posteriori error estimates, stop** criteria, and adaptivity for two-phase flows
M Vohralík, MF Wheeler - Computational Geosciences, 2013 - Springer
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 …
incompressible two-phase flows in porous media. We measure the error by the dual norm of …
Rigorous upscaling of unsaturated flow in fractured porous media
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 …
containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow …
Quantitative in situ enhanced oil recovery monitoring using nuclear magnetic resonance
J Mitchell, J Staniland, R Chassagne… - Transport in porous …, 2012 - Springer
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) …
first time using advanced two-dimensional (2D) nuclear magnetic resonance (NMR) …
Analytical approximations for effective relative permeability in the capillary limit
A Rabinovich, B Li, LJ Durlofsky - Water Resources Research, 2016 - Wiley Online Library
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 …
where j designates phase (here CO2 and water), under steady state and capillary‐limit …
Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks' medium
B Andreianov, C Cancès - Computational Geosciences, 2013 - Springer
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 …
several consistent notions of entropy solutions; the difference between them lies in the …
Two-stage upscaling of two-phase flow: from core to simulation scale
A Lohne, G Virnovsky, LJ Durlofsky - SPE journal, 2006 - onepetro.org
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 …
functions (eg, oil and water relative permeability and capillary pressure) can be used to …
An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field
C Cances, M Pierre - SIAM Journal on Mathematical Analysis, 2012 - SIAM
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 …
flow within a heterogeneous porous medium made of two different rock types. Since the …
[HTML][HTML] Numerical schemes for a pseudo-parabolic Burgers equation: discontinuous data and long-time behaviour
We consider a simplified model for vertical non-stationary groundwater flow, which includes
dynamic capillary pressure effects. Specifically, we consider a viscous Burgers-type …
dynamic capillary pressure effects. Specifically, we consider a viscous Burgers-type …