Abstract
A novel centrifuge set-up for the study of unsaturated flow characteristics in porous media is examined. In this set-up, simple boundary conditions can be used, but a free moving boundary between unsaturated-saturated flow arises. A precise and numerically efficient approximation is presented for the mathematical model based on Richards’ nonlinear and degenerate equation expressed in terms of effective saturation using the Van Genuchten–Mualem approach for the soil parameters in the unsaturated zone. Sensitivity of the measurable quantities (rotational moment, center of gravity and time period to achieve quasi steady state) on the soil parameters is investigated in several numerical experiments. They show that the set-up is suitable for the determination of the soil parameters via the solution of an inverse problem in an iterative way.
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References
Caputo, M.C., Nimmo, J.R.: Quasi-steady centrifuge method for unsaturated hydraulic properties. Water Resour. Res. 41, W11504 (2005)
Conca, J.L., Wright, J.V.: The UFA method for rapid, direct measurements of unsaturated transport properties in soil, sediment and rock. Aust. J. Soil Res. 36, 291–315 (1998)
Constales, D., Kačur, J.: Determination of soil parameters via the solution of inverse problems in infiltration. Comput. Geosci. 5, 25–46 (2004)
Nimmo, R.J., Mello, K.A.: Centrifugal techniques for measuring saturated hydraulic conductivity. Water Resour. Res. 27(6), 1263–1269 (1991)
Nimmo, R.J., Akstin, K.C., Mello, K.A.: Improved apparatus for measuring hydraulic conductivity at low water content. Soil Sci. Soc. Am. J. 56, 1758–1761 (1992)
Šimůnek, J., Nimmo, J.R.: Estimating soil hydraulic parameters from transient flow experiments in a centrifuge using parameter optimization technique. Water Resour. Res. 41, W04015 (2005)
Tocci, M.D., Kelley, C.T.: Accurate and economical solution of the pressure-head form of Richards’ equation by the method of lines. Adv. Water Resour. 20(1), 1–14 (1997)
van Genuchten, M.Th.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44, 892–898 (1980)
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The second and third author confirm financial support by the Slovak Research and Development Agency under contract APVV-0184-10, APVV-0743-10 and VEGA-1/0502/09.
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Malengier, B., Kačur, J., Kišoň, P. (2012). Numerical Model for the Determination of the Soil Retention Curve from Global Characteristics Obtained via a Centrifuge. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour II. Advanced Structured Materials, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22700-4_11
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DOI: https://doi.org/10.1007/978-3-642-22700-4_11
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