An analytical solution for ground water transit time through unconfined aquifers

Ground Water

Volumn 43, Issue 4, 2005, Pages 511-517

  Chesnaux, R ^a   Molson, J W ^a   Chapuis, R P ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; DISCHARGE (FLUID MECHANICS); FLOW OF FLUIDS; FLOW PATTERNS; INFILTRATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

DUPUIT-TYPE FLOW SYSTEMS; FIXED-HEAD BOUNDARY; GROUND WATER TRANSIT TIMES; SURFACE INFILTRATION;

GROUNDWATER;

FRESH WATER;

AQUIFER; FLUID FLOW; GROUNDWATER;

AQUIFER; FLUID FLOW; GROUNDWATER;

ARTICLE; THEORETICAL MODEL; WATER FLOW;

FRESH WATER; MODELS, THEORETICAL; WATER MOVEMENTS;

EID: 22244472320     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2005.0056.x     Document Type: Article

References (23)

1. Bair, E.S., R.A. Sheets, and S.M. Eberts. 1990. Particle-tracking analysis of flowpaths and travel times from hypothetical spill sites within the capture area of a wellfield. Ground Water 28, no. 6: 884-892.
2. Bear, J. 1972. Dynamics of Fluids in Porous Media. New York: Dover Publications Inc.
3. Bolin, B., and H. Rodhe. 1973. A note on the concepts of age distribution and transit time in natural reservoirs. Tellus 25, no. 1: 58-62.
4. Cornaton, F. 2003. Deterministic models of groundwater age, life expectancy and transit time in advective-dispersive systems. Ph.D. diss., Faculty of Sciences, Centre of Hydrogeology of Neuchâtel, University of Neuchâtel, Switzerland.
5. Dupuit, J. 1863. Étude théorique et pratique sur le mouvement des eaux dans les canaux découverts et à travers les terrains perméables. 2nd ed. Paris, France: Dunod.
6. Etcheverry, D., and P. Perrochet. 2000. Direct simulation of groundwater transit-time distributions using the reservoir theory. Hydrogeology Journal 8, no. 2: 200-208.
7. Forchheimer, P. 1901. Wasserbewegung durch Boden. Zeitschrift des Vereines Deutsher Ingenieure 45: 1782-1788.
8. Frind, E.O., and G.B. Matanga. 1985. The dual formulation for contaminant transport modeling 1. Review of theory and accuracy aspects. Water Resources Research 21, no. 2: 159-169.
9. Frind, E.O., D. Mohammed, and J.W. Molson. 2002. Delineation of three-dimensional capture zones in a complex aquifer. Ground Water 40, no. 6: 586-598.
10. Gelhar, L.W., and J.L. Wilson. 1974. Ground-water quality modeling. Ground Water 12, no. 6: 399-408.
11. Geo-slope International. 2002. SEEP/W & CTRAN/W User Guides, Version 5. Calgary, Canada.
12. Goode, D.J. 1996. Direct simulation of groundwater age. Water Resources Research 32, no. 2: 289-296.
13. Grubb, S. 1993. Analytical model for estimation of steady-state capture zones of pumping wells in confined and unconfined aquifers. Ground Water 31, no. 1: 27-32.
14. Haitjema, H.M. 1995. Analytic Element Modeling of Groundwater Flow. San Diego, California: Academic Press.
15. Kirkham, D. 1967. Explanation of paradoxes in Dupuit-Forchheimer seepage theory. Water Resources Research 3, no. 2: 609-622.
16. Luther, K.H., and H.M. Haitjema. 1998. Numerical experiments on the residence time distributions of heterogeneous groundwatersheds. Journal of Hydrology 207, no. 1-2: 1-17.
17. Mazor, E., and R. Nativ. 1992. Hydraulic calculation of groundwater flow velocity and age: Examination of basic premises. Journal of Hydrology 138, no. 1-2: 211-222.
18. Molson, J.W., and E.O. Frind. 2003. FLONET User Guide. Waterloo, Ontario, Canada: Department of Earth Sciences, University of Waterloo.
19. Simpson, M.J., T.P. Clement, and F.E. Yeomans. 2003. Analytical model for computing residence times near a pumping well. Ground Water 41, no. 3: 351-354.
20. Strack, O.D.L. 1989. Groundwater Mechanics. Englewood Cliffs, New Jersey: Prentice Hall Inc.
21. Todd, D.K. 1980. Groundwater Hydrology, 2nd ed. New York: John Wiley and Sons.
22. Vami, M., and J. Carrera. 1998. Simulation of groundwater age distributions. Water Resources Research 34, no. 12: 3271-3281.
23. Vogel, J.C. 1967. Investigation of groundwater flow with radiocarbon. In Isotopes in Hydrology, 355-369. Vienna, Austria: IAEA-SM 83/24, pp. 355-368.