Transient pumping well flow in weakly heterogeneous formations

Water Resources Research

Volumn 39, Issue 10, 2003, Pages

  Indelman, Peter ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Groundwater hydrology; Heterogeneous formations; Pumping tests; Stochastic approach; Unsteady well flow

Indexed keywords

APPROXIMATION THEORY; AQUIFERS; FLOW OF FLUIDS; HYDRAULICS; STEADY FLOW;

HETEROGENEOUS AQUIFERS; UNSTEADY WELL FLOW;

WELL PUMPS;

AQUIFER; GROUNDWATER; HYDRAULIC CONDUCTIVITY; POROUS MEDIUM; WELL PUMP; WELL TESTING;

AQUIFER; GROUNDWATER FLOW; HETEROGENEOUS MEDIUM; HYDRAULIC CONDUCTIVITY; PUMPING; WELL TESTING; WELL WATER;

EID: 1542752188     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002036     Document Type: Article

References (29)

1. Butler, J. J., and W. Z. Liu, Pumping tests in nonuniform aquifers: The radially asymmetric case, Water Resour. Res., 29, 259-269, 1993.
2. Butler, J. J. Jr., and J. M. Healey, Relationship between pumping-test and slug-test parameters: Scale effect or artifact?, Ground Water, 36, 305-313, 1998.
3. Cooper, H. H. Jr., and C. E. Jacob, A generalized graphical method for evaluating formation constants and summarizing well field history, Eos Trans. AGU, 27, 56-544, 1946.
4. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
5. Desbarats, A. J., Spatial averaging of transmissivity in heterogeneous fields with flow toward a well, Water Resour. Res., 28(3), 757-767, 1992.
6. Desbarats, A. J., Spatial averaging of hydraulic conductivities under radial flow conditions, Math. Geol., 26, 1-21, 1994.
7. Gelhar, L. W., and C. L. Axness, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180, 1983.
8. Hemker, C. J., Transient well flow in layered aquifer systems: The uniform well-face drawdown solution, J. Hydrol., 225(1-2), 19-44, 1999.
9. Indelman, P., Averaging of unsteady flows in heterogeneous media of stationary conductivity, J. Fluid Mech., 310, 39-60, 1996.
10. Indelman, P., Unsteady source flow in weakly heterogeneous porous media, Comput. Geosci., 4, 351-381, 2000.
11. Indelman, P., Steady-state source flow in heterogeneous porous media, Transp. Porous Media, 2001.
12. Indelman, P., Transient well-type flows in heterogenous formations, Water Resour. Res., 59(3), 1064, doi:10.1029/2002WR001407, 2003.
13. Indelman, P., and B. Abramovich, Nonlocal properties of nonuniform averaged flows in heterogeneous media, Water Resour. Res., 30, 3385-3393, 1994.
14. Indelman, P., A. Fiori, and G. Dagan, Steady flow toward wells in heterogeneous formations: Mean head and equivalent conductivity, Water Resour. Res., 32(7), 1975-1983, 1996.
15. Matheron, G., Elements pour une theorie des milieux poreux, Masson et Cie, Paris, 1967.
16. Meier, P. M., J. Carrera, and X. Sanchez-Vila, An evaluation of Jacob's method for the interpretation of pumping tests in heterogenous formations, Water Resour. Res., 34, 1011-1025, 1998.
17. Naff, R. L., Radial flow in heterogeneous porous media: An analysis of specific discharge, Water Resour. Res., 27, 307-316, 1991.
18. Neuman, S. P., and S. Orr, 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, 1993.
19. Oliver, D. S., The averaging process in permeability estimation from well-test data, SPE Form. Eval., 5, 319-324, 1990.
20. Oliver, D. S., The influence of nonuniform transmissivity and storativity on drawdown, Water Resour. Res., 29, 169-178, 1993.
21. Riva, M., A. Guadagnini, S. P. Neuman, and S. Franzetti, Radial flow in a bounded randomly heterogeneous aquifer, Transp. Porous Media, 45, 139-193, 2001.
22. Sanchez-Vila, X., Radially convergent flow in heterogeneous porous media, Water Resour. Res., 33, 1633-1641, 1997.
23. Shvidler, M. I., 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, 1966. (Fluid Dyn., Engl. Transl., 95-98, 1966.)
24. Shvidler, M. I., 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, 1966. (Fluid Dyn., Engl. Transl., 95-98, 1966.)
25. Shvidler, M. I., Stochastic Hydrodynamics of Porous Media (in Russian), Nedra, Moscow, 1985.
26. Streltsova, T. D., Well Testing in Heterogeneous Formations, John Wiley, Hoboken, N. J., 1988.
27. Tartakovsky, D. M., and S. P. Neuman, Transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations, Water Resour. Res., 34, 1-12, 1998a.
28. Tartakovsky, D. M., and S. P. Neuman, Transient flow in bounded randomly heterogeneous domains: 2. Localization of conditional mean equations and temporal nonlocality effects, Water Resour. Res., 34, 13-20, 1998b.
29. Theis, C. V., The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage, Eos Trans. AGU, 16, 519-524, 1935.