Some References for the Micro-Model Project:       (Go back to Workshop Program Page)

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 1. Motivation and overview
William G. Gray *, Cass T. Miller

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 2. Foundation
Cass T. Miller *, William G. Gray

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 3. Single-fluid-phase flow
William G. Gray,   Cass T. Miller

Thermodynamics and constitutive theory for multiphase porous-media flow considering internal geometric constraints
William G. Gray

On the definition and derivatives of macroscale energy for the description of multiphase systems
William G. Gray

Closure Conditions for Two-Fluid Flow in Porous Media
WILLIAM G. GRAY, ANDREW F. B. TOMPSON and WENDY E. SOLL

Lattice-Boltzmann simulation of two-phase flow in porous media
C. Pan, M. Hilpert and C. T. Miller

A PORE NETWORK MODEL FOR CALCULATION OF INTERFACIAL VELOCITIES
H.F. Nordhaug, M. Celia, H.K. Dahle

TOWARD AN IMPROVED UNDERSTANDING OF MULTIPHASE FLOW IN POROUS MEDIA
Julia C. Muccino, William G. Gray, Lin A. Ferrand

Dynamic Effect in the Capillary Pressure–Saturation Relationship and its Impacts on Unsaturated Flow
S. Majid Hassanizadeh, Michael A. Celia, and Helge K. Dahle

Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines
Rudolf J. Held, Michael A. Celia

A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model
Paul C. Reeves and Michael A. Celia

Invasion percolation: a new form of percolation theory
David Wilkinson and Jorge F Willemsen

Monte Carlo study of invasion percolation clusters in two and three dimensions
David Wilkinson and Mary Barsony

Percolation model of immiscible displacement in the presence of buoyancy forces
David Wilkinson

Percolation with trapping
Madalena M Dias and David Wilkinson

Percolation effects in immiscible displacements
David Wilkinson

Transport and dispersion in random networks with percolation disorder
J. Koplik, S Redner, D. Wilkinson

Coexisting two-phase flow in correlated two-dimensional percolation
D. D. Nolte and L. J. Pyrak-Nolte

Stratified continuum percolation:  Scaling geometry of hierarchical cascades
D. D. Nolte and L. J. Pyrak-Nolte

Immiscible Fluid Flow in a Fracture,
Pyrak-Nolte, L. J., Helgeson, D. and G. M. Haley, Rock Mechanics

Multiphase Flow in Fractures
Pyrak-Nolte

Linking Pressure and Saturation through Interfacial Areas in Porous Media 
J.-T. Cheng, L. J. Pyrak-Nolte, D. D. Nolte and N. J. Giordano,


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