Development of an unsteady model for flow through coarse heterogeneous porous media applicable to valley fills

International Journal of River Basin Management

Volumn 5, Issue 4, 2007, Pages 253-265

  Hosseini, S M ^a   Joy, D M ^b  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

Coarse porous media; Gradually varied flow; Rockfill; Unsteady flow; Valley fill

Indexed keywords

BOUNDARY CONDITION; ENVIRONMENTAL IMPACT ASSESSMENT; FINITE DIFFERENCE METHOD; FLOW MODELING; GEOMETRY; LABORATORY METHOD; MINING; NUMERICAL MODEL; ONE-DIMENSIONAL MODELING; POROUS MEDIUM; ROCKFILL; UNSTEADY FLOW; VALLEY FILL;

EID: 66049122819     PISSN: 15715124     EISSN: 18142060     Source Type: Journal    
DOI: 10.1080/15715124.2007.9635325     Document Type: Article

References (31)

1. Abbott, M.B. and Basco, D.R. (1989). Computational Fluid Dynamics: An Introduction for Engineers, Longman Scientific &Technical, Longman Group UK Limited.
2. Ahmed, N. and Sunada, D.K. (1969). “Nonlinear Flow in Porous Media,” J. Hydr. Div, ASCE, 91(HY6), 1847-1857.
3. Anderson, M.P., Ward, D.S., Lappala, E.G. and Prickett, T.A. (1993). Computer Models for Subsurface Water, in D.R. Maidment (ed.), Handbook of Hydrology, McGraw-Hill, NY.
4. Aubertin, M., Bruno, B. and Chapuis, R.P. (1996). “Hydraulic Conductivity of Homogonized Tailings from Hard Rock Mines,” Can. Geotech. J., 33, 470-482.
5. Bari, R. and Hansen, D. (2002). “Application of Grdually-Varied flow Algorithms to Simulate Buried Streams,” J. Hydr. Res., IAHR, 40(6), 673-683.
6. Chow, V.T., Maidment, D.R. and Mays, L.W. (1988). Applied Hydrology, McGraw-Hill, NY.
7. Cowherd, D.C. (1981). Hydrologic Consequences, Sediment Control, and Concurrent Reclamation of Dumped Valley Fills, in Symp. on Surface Min. Hydrol., Sedimentol. And Recl., University of Kentucky, pp. 409-415.
8. Doherty j., Brebber, L. and Whyte P. (1994). PEST, Model Independent Parameter Estimation User’s Manual, Watermark Computing.
9. Dullien, F.A.L. (1992). Porous Media: FluidTransport and Pore Structure, Academic Press, U.S.A.
10. Findikakis, A.N. and Tu, S-W. (1985). Flood Routing through Rock Dumps in Natural Channels, Proc. of Conf. on Hydr. and Hydrol. in Small Comput. Age, ASCE, Lake Buena Vista, Florida, pp. 1213-1218.
11. Fread, D.L. (1993). Flow Routing, in D.R. Maidment (ed.), Handbook of Hydrology, McGraw-Hill, NY.
12. Garga, V.K., Hansen, D. and Townsend, D.R. (1989). Considerations in the Design of Flow Through Rockfill Drains, 14th Mine Recl. Symp., Min. Assoc. of B.C., Cranbrook, British Columbia.
13. Goodwill, I.M. and Kalliontzis, C. (1988). “Identification of Non-Darcy Groundwater Flow Parameters,” Int. J. Numer. Methods Fluids, 8, 151-164.
14. Greenly, B.T. and Joy, D.M. (1996). “One-Dimensional Finite Element Model for High Flow Velocities in Porous Media,” J. Geotech. Engrg., ASCE, 122(10), 789-796.
15. Hannoura, A. and McCorquodale, J.A. (1985). Rubble Mounds: Hydraulic Conductivity Equation,” J. Waterw., Port, Coast and Ocean Div, ASCE, 111(4), 783-799.
16. Hansen, D. (1992). The Behaviour of Flowthrough Rockfill Dams, Ph.D. Thesis, Department of Civ. Engrg, Univ. of Ottawa, Ottawa, Ontario, Canada.
17. Hassanizadeh, S.M. and Gray, W.G. (1987). “HighVelocity Flow in Porous Media,” Transp. Porous Media, 2, 521-531.
18. Hosseini, S.M. and Joy, D.M. (1997). Equivalent Friction Coefficients for Non-linear Flow through Heterogeneous Porous Media, Proceedings of the 25th CSCE Annual Conference, Sherbrooke, Quebec, Vol. 5, pp. 197-202.
19. Irmay, S. (1958). “On the Theoretical Derivation of Darcy and Forchheimer Formulas,” Trans. of Am. Geophys. Union, 39(4), 702-707.
20. Istok, J. (1989). Groundwater Modelling by the Finite Element Method, American Geophysical Union: Water Resources Monograph 13.
21. Joy, D.M. (1990). Sediment Transport ThroughValley Fills, Paper presented at the Ann. GAC-MAC Conf., Vancouver, British Columbia.
22. Joy, D.M. (1991). Non-linear Flow in a Coarse Porous Media, Proc. of the 1991 Ann. Conf. of CSCE, Vol. 1, Vancouver, British Columbia, pp. 106-115.
23. Leps, T.M. (1973) Flow through Rockfill, in Hirchfeld R. and Poulos S. (eds.), Embankment Dam Engineering, John-Wiley &Sons, NY.
24. Ma, H. and Ruth, D.W. (1993). “The Microscopic Analysis of High Forchheimer Number Flow in Porous Media,” Transp. Porous Media, 13, 139-160.
25. Parkin, A.K. (1991). Through and Overflow Rockfill Dams, in E. Maranha das Neves (ed.), Advances in Rockfill Structures, Kluver Academic Publishers, The Netherlands, pp. 571-592.
26. Poluobarinova-Kochina, Ya.P. (1952). Theory of Groundwater Movement (in Russian), English Translation by R.M.J. DeWiest, Princeton University Press, Princeton, N.J.
27. Samani H.M.V., Samani, J.M.V. and Shaiannejad, M. (2003). “Reservoir Routing using Steady and Unsteady Flow through Rockfill Dams,” J. Hydr. Engrg., ASCE, 129(6), 448-454.
28. Singh, V.P. (1996). Kinematic Wave Modeling in Water Resources: Surface-Water Hydrology, John-Wiley &Sons, NY.
29. Stephenson, D. (1978). Hydraulics of Gabions and Rockfill, Proc. of XVI Convegno di Idraulica e Costruzioni Idrauliche, Torino, Italy, pp. B31-1-B31-11.
30. Stephenson, D. (1979). Rockfill in Hydraulic Engineering, Developments in Geotechnical Engineering 27, Elsevier Scientific Publishing Co., Amsterdam, The Netherlands.
31. van Gent, M.R.A. (1995). “Porous Flow through Rubble-Mound Material,” J. Waterw., Port, Coast and Ocean Engrg., ASCE, 121(3), 176-181.