Groundwater age, life expectancy and transit time distributions in advective-dispersive systems; 2. Reservoir theory for sub-drainage basins

Advances in Water Resources

Volumn 29, Issue 9, 2006, Pages 1292-1305

  Cornaton, F ^a   Perrochet, P ^a  

^a UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

Age; Capture zone probability; Flow systems; Forward backward reservoir theory; Life expectancy; Protection zone

Indexed keywords

AQUIFERS; CATCHMENTS; GEOMETRY; INTEGRATION; PROBABILITY DENSITY FUNCTION; SENSITIVITY ANALYSIS; SERVICE LIFE; UNDERGROUND RESERVOIRS;

CAPTURE ZONE PROBABILITY; FLOW SYSTEMS; FORWARD/BACKWARD RESERVOIR THEORY; LIFE EXPECTANCY; PROTECTION ZONE;

GROUNDWATER RESOURCES;

AQUIFERS; CATCHMENTS; GEOMETRY; GROUNDWATER RESOURCES; INTEGRATION; PROBABILITY DENSITY FUNCTION; SENSITIVITY ANALYSIS; SERVICE LIFE; UNDERGROUND RESERVOIRS;

DISCHARGE; DRAINAGE BASIN; GROUNDWATER FLOW; PROBABILITY; RECHARGE; RESERVOIR; SENSITIVITY ANALYSIS;

EID: 33746440346     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.10.010     Document Type: Article

References (32)

1. Arnold L. Stochastic differential equations: theory and applications (1974), John Wiley, New York
2. Cornaton F., Perrochet P. Groundwater age, life expectancy and transit time distributions in advective-dispersive systems; 1. Generalized reservoir theory. Adv Water Res (xxxx).
3. Dagan G. Stochastic modelling of groundwater flow by unconditional and conditional probabilities. 2. The solute transport. Water Resour Res 18 4 (1982) 835-848
4. Dagan G. Theory of solute transport by groundwater. Ann Rev Fluid Mech 19 (1987) 183-215
5. Dagan G. Flow and transport in porous formations (1989), Springer, Berlin, Heidelberg, Germany
6. Danckwerts P.V. Continuous flow systems: distribution of residence times. Chem Eng Sci 2 1 (1953) 93-102
7. Eriksson E., and Welander P. On a mathematical model of the carbon cycle in nature. Tellus 8 (1956) 115-175
8. Eriksson E. Compartment models and reservoir theory. Ann Rev Ecol Syst 2 (1971) 67-84
9. Garabedian P.R. Partial differential equations (1964), John Wiley, New York
10. Gardiner C.W. Handbook of stochastic methods for physics, chemistry and natural sciences (1983), Springer, Berlin
11. Hubbert M.K. The theory of ground-water motion. J Geol 48 (1940) 785-944
12. Jury W.A. Simulation of solute transport using a transfer function model. Water Resour Res 18 2 (1982) 363-368
13. Jury W.A., Sposito G., and White R.E. A transfer function model of solute transport through soil. 1. Fundamental concepts. Water Resour Res 22 2 (1986) 243-247
14. Jury W.A., and Roth K. Transfer functions and solute transport through soil: theory and applications (1990), Birkhauser Publishers, Basel
15. Kiraly L. La notion d'unité hydrogéologique. Essai de définition. PhD thesis, University of Neuchâtel, Switzerland, 1978.
16. Kolmogorov A.N. Über die analytischen Methoden in der Wahrscheilichkeitsrechnung. Math Anal 104 (1931) 415-458
17. LaBolle E.M., Quastel J., and Fogg G.E. Diffusion theory for transport in porous media: transition-probability densities of diffusion processes corresponding to advection-dispersion equations. Water Resour Res 34 7 (1998) 1685-1693
18. Mejía J.M., and Rodríguez-Iturbe I. On the synthesis of random field sampling from the spectrum: an application to the generation of hydrologic spatial processes. Water Resour Res 10 4 (1974) 705-711
19. Neupauer R., and Wilson J.L. Adjoint method for obtaining backward-in-time location and travel time probabilities of a conservative groundwater contaminant. Water Resour Res 35 11 (1999) 3389-3398
20. Neupauer R., and Wilson J.L. Adjoint-derived location and travel time probabilities for a multidimensional groundwater system. Water Resour Res 37 6 (2001) 1657-1668
21. Neupauer R., and Wilson J.L. Backward probabilistic model of groundwater contamination in non-uniform and transient flow. Adv Water Res 25 (2002) 733-746
22. Sposito G., White R.E., Darrah P.R., and Jury W.A. A transfer function model of solute transport through soil. 3. The convection-dispersion equation. Water Resour Res 22 2 (1986) 255-262
23. Sudicky E.A. The Laplace transform Galerkin technique: a time-continuous finite element theory and application to mass transport in groundwater. Water Resour Res 25 8 (1989) 1833-1846
24. Todd D.K. Ground water hydrology (1959), John Wiley, New York
25. Tóth J. A theory of groundwater motion in small drainage basins in central Alberta. J Geophys Res 67 (1962) 4375-4387
26. Tóth J. A theoretical analysis of groundwater flow in small drainage basins. J Geophys Res 68 (1963) 4795-4812
27. Uffink G.J.M. Application of the Kolmogorovs backward equation in random walk simulation of groundwater contaminant transport. In: Kobus H.E., and Kinzelbach (Eds). Contaminant Transport in Groundwater (1989), Balkema, Rotterdam
28. Van Herwaarden O.A. Spread of pollution by dispersive groundwater flow. SIAM J Appl Math 54 1 (1994) 26-41
29. Van Kooten J.J.A. An asymptotic method for predicting the contamination of a pumping well. Adv Water Res 18 5 (1995) 295-313
30. Weissmann G.S., Zhang Y., LaBolle E., and Fogg G.E. Dispersion of groundwater age in an alluvial aquifer system. Water Resour Res 38 10 (2002) 10.1029/2001WR000907
31. White R.E., Dyson J.S., Haigh R.H., Jury W.A., and Sposito G. A transfer function model of solute transport through soil. 2. Illustrative applications. Water Resour Res 22 2 (1986) 248-254
32. Wilson JL, Liu J. Field validation of the backward-in-time advection dispersion theory. In: Proceedings of the 1996 HSRC/WERC Joint Conference on the Environment, Great Plains-Rocky Mountain Hazard. Substance Cent., Manhattan, Kansas, 1997.