Articles | Volume 21, issue 2
https://doi.org/10.5194/hess-21-1063-2017
https://doi.org/10.5194/hess-21-1063-2017
Research article
 | 
20 Feb 2017
Research article |  | 20 Feb 2017

On the consistency of scale among experiments, theory, and simulation

James E. McClure, Amanda L. Dye, Cass T. Miller, and William G. Gray

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Subject: Vadose Zone Hydrology | Techniques and Approaches: Mathematical applications
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Cited articles

Albers, B.: Modeling the hysteretic behavior of the capillary pressure in partially saturated porous media: a review, Acta Mechanica, 225, 2163–2189, 2014.
Alizadeh, A. H. and Piri, M.: The effect of saturation history on three-phase relative permeability: An experimental study, Water Resour. Res., 50, 1636–1664, 2014.
Anderson, T. B. and Jackson, R.: A fluid mechanical description of fluidized beds, Indust. Eng. Chem. Fundament., 6, 527–539, 1967.
Bachmat, Y. and Bear, J.: The General Equations of Hydrodynamic Dispersion in Homogeneous, Isotropic, Porous Mediums, J. Geophys. Res., 69, 2561–2567, 1964.
Bauer, P., Thorpe, A., and Brunet, G.: The quiet revolution of numerical weather prediction, Nature, 525, 47–55, 2015.
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Short summary
A complicating factor in describing the flow of two immiscible fluids in a porous medium is ensuring that experiments, theory, and simulation are all formulated at the same length scale. We have quantitatively analyzed the internal structure of a two-fluid system including the distribution of phases and the location of interfaces between phases. The data we have obtained allow for a clearer definition of capillary pressure at the averaged scale as a state function that describes the system.