Numerical simulation of water drainage in double-porosity soils

• Autorzy: Szymkiewicz A. , Lewandowska J. , Vauclin M. , Burzyński K.
• Konferencja: XIII Polish-French Colloquium: Soil and Rock Mechanics in Civil and Environmental Engineering, Wrocław, June 9-10, 2004
• Języki publikacji: EN

Abstrakty

EN

The paper deals with modelling of unsaturated water flow in soils which are composed of two distinct sub-domains of very different hydraulic properties (double-porosity soils). Flow in such media is often characterized by the local non-equilibrium of the capillary pressure in the two regions, which cannot be described by the local equilibrium model [4], Recently, a non-equilibrium model based on the homogenization approach has been proposed [5]. In the present paper, the model is applied to simulate gravitational drainage in a particular case of double-porosity medium. The medium consists of highly conductive sand matrix with weakly conductive spherical inclusions arranged in a periodic manner. The numerical simulations have been performed with the DPOR-1D code [11]. Calculation of the effective parameters of the medium is presented as well as the solution of the macroscopic boundary value problem. The behaviour of the double-porosity medium is compared with the behaviour of single-porosity media, i.e. a homogeneous sand and a sand with impermeable inclusions. The results show the impor­tance of the non-equilibrium effects for the flow in double-porosity soils.

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2005
• Tom: Vol. 27, nr 1-2
• Strony: 177--186
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Szymkiewicz A.

• Laboratoire d'etude des Transferts en Hydrologie et Environnement (LTHE), UMR 5564 (CNRS, INPG, IRD, UJF). BP53, 38041 Grenoble Cedex 09 France
• Faculty of Civil Engineering and Environmental Engineering, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-952 Gdańsk, Poland

autor

Lewandowska J.

• Laboratoire d'etude des Transferts en Hydrologie et Environnement (LTHE), UMR 5564 (CNRS, INPG, IRD, UJF). BP53, 38041 Grenoble Cedex 09 France

autor

Vauclin M.

• Laboratoire d'etude des Transferts en Hydrologie et Environnement (LTHE), UMR 5564 (CNRS, INPG, IRD, UJF). BP53, 38041 Grenoble Cedex 09 France

autor

Burzyński K.

• Faculty of Civil Engineering and Environmental Engineering, Gdańsk University of Technology, ul. Narutowicza 11/12, 80-952 Gdańsk, Poland

Bibliografia

• [1] AURIAULT J.-L., Heterogeneous medium: Is an equivalent macroscopic description possible? Int. J. Engng Sci., 1991, Vol. 29, No. 7, pp. 785–795.
• [2] BEAR J., Dynamics of Fluids in Porous Media, Elsevier, 1972.
• [3] BENSOUSSAN A., LIONS J.-L., PAPANICOLAOU G., Asymptotic analysis for periodic structures, NorthHolland, 1978.
• [4] LEWANDOWSKA J., LAURENT J.-P., Homogenization modeling and parametric study of moisture transfer in an unsaturated heterogeneous porous medium, Transport in Porous Media, 2001, Vol. 45, pp. 321–345.
• [5] LEWANDOWSKA J., SZYMKIEWICZ A., BURZYŃSKI K., VAUCLIN M., Modeling of unsaturated water flow in double porosity soils by the homogenization approach, Advances in Water Resources, 2004, Vol. 27, No. 3, pp. 283–296.
• [6] LEWANDOWSKA J., SZYMKIEWICZ A., GORCZEWSKA W., VAUCLIN M., Infiltration in a doubleporosity medium: experiments and comparison with a theoretical model, Water Resources Research, accepted for publication, 2004.
• [7] MUALEM Y., A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resources Research, 1976, Vol. 12, No. 3, pp. 513–522.
• [8] RICHARDS L. A., Capillary conduction of liquids through porous medium, Physics, 1931, Vol. 1, pp. 318–333.
• [9] SANCHEZ-PALENCIA E., Non-homogeneous media and vibration theory, Lecture Note in Physics, 1980, Vol. 127, Springer-Verlag, Berlin.
• [10] ŠIMŮNEK J., JARVIS N. J., VAN GENUCHTEN M.TH., GÄRDENÄS A., Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone, Journal of Hydrology, 2003, Vol. 272, pp. 14–35.
• [11] SZYMKIEWICZ A., Modeling of unsaturated water flow in highly heterogeneous soils, PhD dissertation, Universite Joseph Fourier, Grenoble, Gdańsk University of Technology, 2004.
• [12] VAN GENUCHTEN M.TH., A closed form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Science Society of America Journal, 1980, Vol. 44, pp. 892–898.