Simulation of water flow in double-porosity soils on unstructured grids with the finite-volume method

• Autorzy: Szymkiewicz A. , Burzyński K.
• Języki publikacji: EN

Abstrakty

EN

Double-porosity soils consist of two interacting porous systems corresponding to weakly conductive aggregates and highly conductive inter-aggregate regions. The flow of water in such media can be described with a two-scale model obtained by homogenization. The model consists of a single macroscopic equation for the flow in the highly conductive porous system coupled with a number of micro-scale equations for the flow in the weakly conductive aggregates. In this paper we present a numerical algorithm to solve the resulting system of equations for the case of macroscopically two-dimensional flow. It is based on the finite volume approach for unstructured grid of triangular cells. Special attention is paid to the coupling of the micro- and macro-scale equations. An exemplary calculation is presented, concerning infiltration and redistribution of water in a hill-slope of double-porosity structure with cubic aggregates.

Słowa kluczowe

EN

double-porosity soils; Richards' equation; unsaturated zone; finite volume method; unstructured grid

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2007
• Tom: Vol. 11, No 4
• Strony: 397--410
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Szymkiewicz A.

autor

Burzyński K.

• Institute of Hydroengineering, Polish Academy of Sciences, Kościerska 7, 80-328 Gdansk, Poland,

Bibliografia

• [1] Douglas J J and Arbogast T 1990 Dual Porosity Models for Flow in Naturally Fractured Reservoirs (Cushman J H et al., Eds) Dynamics of Fluids in Hierarchical Porous Media, Academic Press, London
• [2] Lewandowska J, Szymkiewicz A, Burzyński K and Vauclin M 2004 Advances in Water Resources 27 283
• [3] Szymkiewicz A and Lewandowska J 2006 Hydrological Sciences Journal 51 1106
• [4] Arbogast T 1997 Computational Aspects of Dual-porosity Models (Hornung U, Ed.), Homogenization and porous media, Springer, New York 203
• [5] Szymkiewicz A, Lewandowska J, Angulo-Jaramillo Rand Butlanska J Two-scale Modeling of Unsaturated Water Flow in the Double-porosity Medium under Axi-symmetrical Conditions (submitted)
• [6] Manzini G and Ferraris S 2004 Advances in Water Resources 27 1199
• [7] Lewandowska J and Laurent J-P 2001 Transport in Porous Media 45 321
• [8] Lewandowska J, Szymkiewicz A and Boutin C 2005 Modeling of Unsaturated Hydraulic Conductivity of Double Porosity Soils Actes de 17eme Congres Francais de Mecanique, Troyes
• [9] Pruess K and Narasimhan T 1985 Society of Petroleum Engineers Journal 25 14
• [10] Bertolazzi E and Manzini G 2005 Computers and Mathematics with Applications 49 1755
• [11] Pasdunkorale J A and Thrner I W 2005 Journal of Computational Mathematics 23 1
• [12] Belfort Band Lehmann F 2005 Vadose Zone Journal 4 1191
• [13] Celia M A, Bouloutas E T and Zarba R L 1990 Water Resources Research 26 1483
• [14] Lai C-H and Liu C-W 2001 Proc. National Science Council Republic of China (A) 25 35
• [15] van Genuchten M Th 1980 Soil Science Society of America Journal 44 892
• [16] Philip J R 1957 Soil Science 83 345
• [17] Philip J R 1957 Soil Science 83 435
• [18] Philip J R 1957 Soil Science 84 163