Dynamic Pore-Scale Model of Drainage in Granular Porous Media: The Pore-Unit Assembly Method

Water Resources Research
Thomas SweijenLuwen Zhuang

Abstract

Dynamics of drainage is analyzed for packings of spheres, using numerical experiments. For this purpose, a dynamic pore-scale model was developed to simulate water flow during drainage. The pore space inside a packing of spheres was extracted using regular triangulation, resulting in an assembly of grain-based tetrahedra. Then, pore units were constructed by identifying and merging tetrahedra that belong to the same pore, resulting in an assembly of pore units. Each pore unit was approximated by a volume-equivalent regular shape (e.g., cube and octahedron), for which a local capillary pressure-saturation relationship was obtained. To simulate unsaturated flow, a pore-scale version of IMPES (implicit pressure solver and explicit saturation update) was employed in order to calculate pressure and saturation distributions as a function of time for the assembly of pore units. To test the dynamic model, it was used on a packing of spheres to reproduce the corresponding measured quasi-static capillary pressure-saturation curve for a sand packing. Calculations were done for a packing of spheres with the same grain size distribution and porosity as the sand. We obtained good agreement, which confirmed the ability of the dynamic code to ...Continue Reading

References

May 1, 1978·British Journal of Pharmacology·F Bergmann, W Feldberg
Jun 2, 2005·Journal of Colloid and Interface Science·M Gladkikh, S Bryant
Nov 18, 2005·Journal of Colloid and Interface Science·M I SándezA Gil
Oct 10, 2006·Journal of Colloid and Interface Science·Masa Prodanović, Steven L Bryant
Mar 13, 2014·Journal of Neurosurgery. Pediatrics·Tina M SauerhammerGary F Rogers
Apr 22, 2015·Advances in Colloid and Interface Science·Jarl B Rosenholm
Feb 6, 2018·Water Resources Research·Luwen ZhuangArjen de Waal

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Software Mentioned

IMPES
DEM
PUA
Yade
MSO

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