This book grew out of an idea to study properties of small subsystems of a large reservoir.
Observations were at the time not explainable with standard thermodynamics. But the theory …

A thermodynamic description of porous media must handle the size-and shape-dependence
of media properties, in particular on the nano-scale. Such dependencies are typically due to …

We calculate the average volumetric flux versus pressure drop of bubbles moving in a single
capillary tube with varying diameter, finding a square-root relation from mapping the flow …

It is well known that the transient behavior during drainage or imbibition in multiphase flow in
porous media strongly depends on the history and initial condition of the system. However …

We derive the entropy production for transport of multi-phase fluids in a non-deformable,
porous medium exposed to differences in pressure, temperature, and chemical potentials …

We define a representative elementary volume of a porous medium in terms of lumped
extensive variables, including properties of homogeneous phases, interfaces, and contact …

A recent experiment has reported power-law scaling of effective permeability of two-phase
flow with respect to capillary number for a two-dimensional model porous medium. In this …

We construct an ensemble distribution to describe steady immiscible two-phase flow of two
incompressible fluids in a porous medium. The system is found to be ergodic. The …

An ensemble distribution has been constructed to describe steady immiscible two-phase
flow of two incompressible fluids in a network. The system is ergodic. The distribution relates …

It is well known that the transient behavior during drainage or imbibition in multiphase flow in
porous media strongly depends on the history and initial condition of the system. However …