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Evaluation of hydrodynamic scaling in porous media using finger dimensions

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https://ir.library.oregonstate.edu/concern/articles/2r36tz16j

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  • The use of dimensionless scaling is ubiquitous to hydrodynamic analysis, providing a powerful method of extending limited experimetnal results and generalizing theories. Miller and Miller [1956] contributed a scaling framework for immiscible fluid flow through porous media that relied on consistency of the contact angle between systems to be compared. It is common to assume that the effective contact angle will be zero in clean sand material where water is the wetting liquid. The well-documented unstable wetting process of fingered flow is used here as a diagnostic tool for the scaling relationships for infiltration into sandy media. Through comparison of finger cross sections produced using three liquids as well as various concentrations of anionic surfactant, it is shown that the zero contact angle assumption is very poor even for laboratory cleaned silica sand: Experimental results demonstrate effective contact angles approaching 60°. Scaling was effective for a given liquid between sands of differing particle size. These results suggest that caution should be exercised when applying scaling theory to initial wetting of porous media by liquids of differing gas-liquid interfacial tensions.
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  • Selker, J. S. and M. H. Schroth (1998), Evaluation of hydrodynamic scaling in porous media using finger dimensions, Water Resources Research, 34(8), 1935–1940, doi:10.1029/98WR00625.
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  • 34
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  • 8
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  • U.S. Department of Energy Subsurface Science Program for their support of this work under contract DE-FG06-92- ER61523.
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