Drawdown and capture zone topology for nonvertical wells

Water Resources Research

Volumn 39, Issue 8, 2003, Pages

  Steward, David R ^a   Jin, Wei ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Groundwater; Horizontal well; Method of images; Ranney well; Three dimensional

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; STEADY FLOW; TOPOLOGY; WATER WELLS;

NONVERTICAL WELLS; PUMPING RATE;

WATER RESOURCES;

AQUIFER; DRAWDOWN; FLOW MODELING; GROUNDWATER; PUMPING;

AQUIFER; DRAWDOWN; FLOW MODELING; GROUNDWATER ABSTRACTION; GROUNDWATER FLOW;

EID: 1542546935     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2002WR001709     Document Type: Article

References (27)

1. Bair, E. S., and T. D. Lahm, Variations in capture-zone geometry of a partially penetrating pumping well in an unconfined aquifer, Ground Water, 34(5), 842-852, 1996.
2. Bischoff, H., An integral equation method to solve three dimensional confined flow to drainage systems, Appl. Math. Model., 5, 399-404, 1981.
3. Cleveland, T. G., Recovery performance for vertical and horizontal wells using semianalytical simulation, Ground Water, 32(1), 103-107, 1994.
4. Faybishenko, B. A., I. Javandel, and P. A. Witherspoon, Hydrodynamics of the capture zone of a partially penetrating well in a confined aquifer, Water Resour. Res., 31(4), 859-866, 1995.
5. Gröbner, W., and N. Hofreiter, Integraltafel Erster Teil Unbestimmte Integrale, Springer-Verlag, New York, 1975.
6. Haitjema, H. M., Modeling three-dimensional flow in confined aquifers by superposition of both two-and three-dimensional analytic functions, Water Resour. Res., 21(10), 1557-1566, 1985.
7. Haitjema, H. M., Analytic Element Modeling of Groundwater flow, Academic, San Diego, Calif., 1995.
8. Haitjema, H. M., and S. P. Kraemer, A new analytic function for modeling partially penetrating wells, Water Resour. Res., 24(5), 683-690, 1988.
9. Hantush, M. S., and I. S. Papadopulos, Flow of ground water to collector wells, J. Hydraul. Div. Am. Soc. Civ. Eng., 88(HY5), 221-244, 1962.
10. Janković, I., High-order analytic elements in modeling groundwater flow, Ph.D. dissertation, Dep. of Civ. Eng., Univ. of Minn., Minneapolis, 1997.
11. Janković, I., and R. Barnes, High-order line elements in modeling two-dimensional groundwater flow, J. Hydrol., 226, 211-224, 1999.
12. Javandel, I., and C. F. Tsang, Capture-zone type curves: A tool for aquifer cleanup, Ground Water, 24(5), 616-625, 1986.
13. Langseth, D. E., Hydraulic performance of horizontal wells, paper presented at HMCRI's 11th Annual National Conference and Exhibition, Hazard. Mater. Control Res. Inst., Washington, D. C., Nov. 1990.
14. Luther, K., and H. M. Haitjema, Approximate analytic solutions to 3D unconfined groundwater flow within 2D models, J. Hydrol., 229, 101-117, 2000.
15. Muskat, M., The Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York, 1937.
16. Polubarinova-Kochina, P. Y., Theory of Ground Water Movement, Princeton Univ. Press, Princeton, N. J., 1962.
17. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed., Cambridge Univ. Press, New York, 1992.
18. Sawyer, C. S., and K. K. Lieuallen-Dulam, Productivity comparison of horizontal and vertical ground water remediation well scenarios, Ground Water, 36(1), 98-103, 1998.
19. Schafer, D. C., Determining 3D capture zones in homogeneous, anisotropic aquifers, Ground Water, 34(4), 628-639, 1996.
20. Steward, D. R., Vector potential functions and stream surfaces in three-dimensional groundwater flow, Ph.D. dissertation, Dep. of Civ. Eng., Univ. of Minn., Minneapolis, 1996.
21. Steward, D. R., Stream surfaces in two-dimensional and three-dimensional divergence-free flows, Water Resour. Res., 34(5), 1345-1350, 1998.
22. Steward, D. R., Three-dimensional analysis of the capture of contaminated leachate by fully penetrating, partially penetrating, and horizontal wells, Water Resour. Res., 35(2), 461-468, 1999.
23. Steward, D. R., A vector potential for a partially penetrating well and flux in an approximate method of images, Proc. R. Soc. London, Ser. A, 457, 2093-2111, 2001.
24. Steward, D. R., A vector potential and exact flux through surfaces using Lagrange and Stokes stream functions, Proc. R. Soc. London, Ser. A, 458, 489-509, 2002.
25. Steward, D. R., and W. Jin, Gaining and losing sections of horizontal wells, Water Resour. Res., 37(11), 2677-2685, 2001.
26. Strack, O. D. L., Groundwater Mechanics, Prentice-Hall, Old Tappan, N. J., 1989.
27. Zhan, H., Analytical study of capture time to a horizontal well, J. Hydrol., 217, 46-54, 1999.