Determination of Pressure-Saturation-Permeability Relations by Centrifugation

Jozef Kačur; Hana Budáčová

doi:10.4028/www.scientific.net/DDF.326-328.261

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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vols. 326-328Determination of Pressure-Saturation-Permeability...

Determination of Pressure-Saturation-Permeability Relations by Centrifugation

Abstract:

In this work we discuss the problem of coupled saturated and unsaturated flow in porous media under centrifugation. Our mathematical model is described by Darcy's equation in saturated region and Richard's nonlinear and degenerate equation in unsaturated region. We use Van Genuchten model with soil parameters and express the Richard's equation in both head and saturation. Our numerical method is based on space discretization. We reduce the problem to an ODE system with an algebraic condition to keep the water mass balance (DAE system). In our mathematical model we consider two interfaces separating fully saturated, partially saturated and dry subregions. Our goal is the determination of soil parameters. We control the input/output of infiltrated water in the sample. The only measurements concerning the sample require the measuring of the time moments in which the moving water achieves prescribed values of momentum. These data are sufficient to determine the soil parameters.

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Periodical:

Defect and Diffusion Forum (Volumes 326-328)

Pages:

261-266

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.326-328.261

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Online since:

April 2012

Authors:

Jozef Kačur, Hana Budáčová

Keywords:

Centrifugation, Richard's Equation, Soil Parameters

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References

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DOI: 10.1007/s11242-011-9719-8

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