10 Result(s)
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Article
Open AccessPercolativity of Porous Media
Connectivity and connectedness are nonadditive geometric functionals on the set of pore scale structures. They determine transport of mass, volume or momentum in porous media, because without connectivity ther...
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Article
Open AccessA Brief Review of Capillary Number and its Use in Capillary Desaturation Curves
Capillary number, understood as the ratio of viscous force to capillary force, is one of the most important parameters in enhanced oil recovery (EOR). It continues to attract the interest of scientists and eng...
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Article
Stable Propagation of Saturation Overshoots for Two-Phase Flow in Porous Media
Propagation of saturation overshoots for two-phase flow of immiscible and incompressible fluids in porous media is analyzed using different computational methods. In particular, it is investigated under which ...
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Article
Erratum to: Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media
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Article
Open AccessNon-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media
Motivated by observations of saturation overshoot, this article investigates generic classes of smooth travelling wave solutions of a system of two coupled nonlinear parabolic partial differential equations re...
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Article
Influence of Initial Conditions on Propagation, Growth and Decay of Saturation Overshoot
A sequence of drainage and imbibition shocks within the traditional theory of two-phase immiscible displacement can give rise to shallow non-monotone saturation profiles as shown in Hilfer and Steinle (Eur Phy...
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Article
Open AccessTraveling Wave Solutions in a Generalized Theory for Macroscopic Capillarity
One-dimensional traveling wave solutions for imbibition processes into a homogeneous porous medium are found within a recent generalized theory of macroscopic capillarity. The generalized theory is based on th...
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Article
Percolation as a Basic Concept for Macroscopic Capillarity
The concepts of relative permeability and capillary pressure are crucial for the accepted traditional theory of two phase flow in porous media. Recently, a theoretical approach was introduced that does not req...
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Review on Scale Dependent Characterization of the Microstructure of Porous Media
The paper discusses local porosity theory and its relation with other geometric characterization methods for porous media such as correlation functions and contact distributions. Special emphasis is placed on ...
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Article
Dimensional analysis of pore scale and field scale immiscible displacement
A basic re-examination of the traditional dimensional analysis of microscopic and macroscopic multiphase flow equations in porous media is presented. We introduce a ‘macroscopic capillary number’ ...
