A note on well boundary condition for flow through heterogeneous formations

Water Resources Research

Volumn 40, Issue 3, 2004, Pages

  Indelman, Peter ^a   Dagan, Gedeon ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Equivalent and effective conductivities; Heterogeneous formations; Pumping test; Stochastic modeling; Well flow

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; THERMAL CONDUCTIVITY; WATER RESOURCES;

ARITHMETIC MEAN; EQUIVALENT CONDUCTIVITY; HEAD MEASUREMENTS; HETEROGENEOUS FORMATIONS;

WATER WELLS;

BOUNDARY CONDITIONS; FLOW MODELING; GROUNDWATER; HEAD (PRESSURE); HETEROGENEOUS MEDIUM; PUMPING;

BOUNDARY CONDITION; FLOW MODELING; GROUNDWATER FLOW; HETEROGENEOUS MEDIUM; HYDRAULIC HEAD; PUMPING;

EID: 2042427892     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002602     Document Type: Article

References (20)

1. Dagan, G. (1989), Flow and Transport in Porous Formations, Springer-Verlag, New York.
2. Dagan, G. (2001), Effective, equivalent and apparent properties of heterogeneous media, in Mechanics for a New Millennium: Proceedings of 20th International Congress on Theoretical Applications of Mechanics, edited by H. Aref and J. W. Phillips, pp. 473-485, Kluwer Acad., Norwell, Mass.
3. Desbarats, A. J. (1994), Spatial averaging of hydraulic conductivities under radial flow conditions, Math. Geol., 26, 1-21.
4. Fiori, A., P. Indelman, and G. Dagan (1998), Correlation structure of flow variables for steady flow toward a well with application to highly anisotropic heterogeneous formations, Water Resour. Res., 34, 699-708.
5. Gelhar, L. W., and C. L. Axness (1983), Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180.
6. Guadagnini, A., M. Riva, and S. P. Neuman (2003), Three-dimensional steady state flow to a well in a randomly heterogeneous bounded aquifer, Water Resour. Res., 39(3), 1048, doi:10.1029/2002WR001443.
7. Hemker, C. J. (1999), Transient well flow in layered aquifer systems: The uniform well-face drawdown solution, J. Hydrol., 225(1-2), 19-44.
8. Indelman, P. (2003a), Transient well-type flows in heterogenous formations, Water Resour. Res., 39(3), 1064, doi:10.1029/2002WR001407.
9. Indelman, P. (2003b), Transient pumping well flow in weakly heterogeneous formations, Water Resour Res., 39(10), 1287, doi:10.1029/2003WR002036.
10. Indelman, P., and B. Abramovich (1994), Nonlocal properties of nonuniform averaged flows in heterogeneous media, Water Resour. Res., 30, 3385-3393.
11. Indelman, P., A. Fiori, and G. Dagan (1996), Steady flow toward wells in heterogeneous formations: Mean head and equivalent conductivity, Water Resour. Res., 32(7), 1975-1983.
12. Matheron, G. (1967), Elements pour une theorie des milieux poreux, Masson et Cie, Paris.
13. Neuman, S. P., and S. Orr (1993), Prediction of steady state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation, Water Resour. Res., 29, 341-364.
14. Oliver, D. S. (1993), The influence of nonuniform transmissivity and storativity on drawdown, Water Resour. Res., 29, 169-178.
15. Riva, M., A. Guadagnini, S. P. Neuman, and S. Franzetti (2001), Radial flow in a bounded randomly heterogeneous aquifer, Transp. Porous Media, 45, 139-193.
16. Sanchez-Vila, X. (1997), Radially convergent flow in heterogeneous porous media, Water Resour. Res., 33, 1633-1641.
17. Shvidler, M. I. (1966), The source-type solution of the problem of unsteady flow in random porous media (in Russian), Izv. Akad. Nauk USSR Mekh. Zhidk. Gaza, 4, 137. (Fluid Dyn., Engl. Transl., 95-98, 1966).
18. Shvidler, M. I. (1966), The source-type solution of the problem of unsteady flow in random porous media (in Russian), Izv. Akad. Nauk USSR Mekh. Zhidk. Gaza, 4, 137. (Fluid Dyn., Engl. Transl., 95-98, 1966).
19. Tartakovsky, D. M., and S. P. Neuman (1998), Transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations, Water Resour. Res., 34, 1-12.
20. Thiem, G. (1906), Hydrologische Methoden, 56 pp., J. M. Gebhardt, Leipzig, Germany.