Influence of heterogeneous air entry pressure on large scale unsaturated flow in porous media

• Autorzy: Szymkiewicz A. , Neuweiler I. , Helmig R.

Identyfikatory

DOI

10.2478/s11600-014-0224-7

• Języki publikacji: EN

Abstrakty

EN

The paper presents numerical simulations of water infiltration in unsaturated porous media containing coarse-textured inclusions embedded in fine-textured background material. The calculations are performed using the two-phase model for water and air flow and a simplified model known as the Richards equation. It is shown that the Richards equation cannot correctly describe flow in the presence of heterogeneities. How-ever, its performance can be improved by introducing appropriately de-fined effective capillary and permeability functions, representing large-scale behaviour of the heterogeneous medium.

Słowa kluczowe

EN

unsaturated flow; two-phase flow; heterogeneous media

PL

przepływ nienasycony; przepływ dwufazowy; homogenizacja numeryczna

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2014
• Tom: Vol. 62, no. 5
• Strony: 1179--1191
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Szymkiewicz A.

• Gdańsk University of Technology, Department of Geotechnics, Geology and Maritime Engineering, Gdańsk, Poland

autor

Neuweiler I.

• Leibniz University Hannover, Institute of Fluid Mechanics and Environmental Physics in Civil Engineering, Hannover, Germany

autor

Helmig R.

• University of Stuttgart, Institute for Modelling Hydraulic and Envir onmental Systems, Stuttgart, Germany

Bibliografia

• 1. Leśniewska, D., H. Zaradny, P. Bogacz, and J. Kaczmarek (2009), Study of flood embankment behaviour induced by air entrapment. In: P. Samuels, S. Huntington, W. Allsop, and J. Harrop (eds.), Flood Risk Management. Research and Practice, Taylor & Francis Group, London, 655-665.
• 2. Lewandowska, J., and J.-P. Laurent (2001), Homogenization modeling and parametric study of moisture transfer in an unsaturated heterogeneous porous medium, Transp. Porous Med.45, 3, 321-345, DOI: 10.1023/A: 1012450327408.
• 3. Mikelic, A., C.J. van Duijn, and I.S. Pop (2002), Effective equations for two-phase flow with trapping on the micro scale, SIAM J. Appl. Math. 62, 5, 1531-1568, DOI: 10.1137/S0036139901385564.
• 4. Szymańska, P. (2012), Flow in unsaturated porous media. Numerical and experimental evaluation of the two phase model and Richards equation, M.Sc. Thesis, Gdańsk University of Technology, Faculty of Civil and Environ-mental Engineering, Gdańsk, Poland.
• 5. Szymkiewicz, A. (2013), Modeling Water Flow in Unsaturated Porous Media. Accounting for Nonlinear Permeability and Material Heterogeneity, Geo-planet: Earth and Planetary Sciences, Springer, Berlin Heidelberg, 237 pp., DOI: 10.1007/978-3-642-23559-7.
• 6. Szymkiewicz, A., R. Helmig, and H. Kuhnke (2011), Two-phase flow in heteroge-neous porous media with non-wetting phase trapping, Transp. Porous Med.86, 1, 27-47, DOI: 10.1007/s11242-010-9604-x.
• 7. Szymkiewicz, A., R. Helmig, and I. Neuweiler (2012), Upscaling unsaturated flow in binary porous media with air entry pressure effects, Water Resour. Res.48, 4, W04522, DOI: 10.1029/2011WR010893.
• 8. Tegnander, C. (2001), Models for ground water flow: A numerical comparison be-tween Richards’ model and the fractional flow model, Transp. Porous Med.43, 2, 213-224, DOI: 10.1023/A:1010749708294
• 9. Vachaud, G., M. Vauclin, D. Khanji, and M.Wakil (1973), Effects of air pressure on water flow in an unsaturated stratified vertical column of sand, Water Resour. Res.9, 1, 160-173, DOI: 10.1029/WR009i001p00160.
• 10. van Duijn, C.J., H. Eichel, R. Helmig, and I.S. Pop (2007), Effective equations for two-phase flow in porous media: the effect of trapping on the microscale, Transp. Porous Med. 69, 3, 411-428, DOI: 10.1007/s11242-006-9089-9.
• 11. Vasin, M., P. Lehmann, A. Kaestner, R. Hassanein, W. Nowak, R. Helmig, and I. Neuweiler (2008), Drainage in heterogeneous sand columns with different geometric structures, Adv. Water Resour. 31, 9, 1205-1220, DOI: 10.1016/j.advwatres.2008.01.004