Multilayer analytic element modeling of radial collector wells

Ground Water

Volumn 43, Issue 6, 2005, Pages 926-934

  Bakker, Mark ^a   Kelson, Victor A ^b   Luther, Kenneth H ^c  

^a University of Georgia   (United States)

^b Showers Plaza   (United States)

^c VALPARAISO UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; INTERNAL FRICTION; MATHEMATICAL MODELS; WATER WELLS;

MULTILAYER ANALYTIC ELEMENT MODELING; RADIAL COLLECTOR WELLS; VERTICAL FLOW;

GROUNDWATER FLOW;

FLOW MODELING; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; UNCONFINED AQUIFER;

ARTICLE; ENVIRONMENTAL MONITORING; THEORETICAL MODEL; WATER FLOW; WATER SUPPLY;

ENVIRONMENTAL MONITORING; MODELS, THEORETICAL; WATER MOVEMENTS; WATER SUPPLY;

EID: 27944489057     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2005.00116.x     Document Type: Article

References (30)

1. Bakker, M. 2005. Analytic element modeling of embedded multi-aquifer domains. Ground Water. In print.
2. Bakker, M. 2004a. Modeling groundwater flow to elliptical lakes and through multi-aquifer elliptical inhomogeneities. Advances in Water Resources 27, no. 5: 497-506.
3. ML, A Multiaquifer Analytic Element Model. Version 2.1. http://www.engr.uga.edu/~mbakker/timml.html. Accessed April 2005.
4. Bakker, M. 2003. Steady groundwater flow through many cylindrical inhomogeneities in a multi-aquifer system. Journal of Hydrology 211, no. 3-4: 268-279.
5. Bakker, M. 2001. An analytic, approximate method for modeling steady, three-dimensional flow to partially penetrating wells. Water Resources Research 37, no. 5: 1301-1308.
6. Bakker, M., and O.D.L. Strack. 2003. Analytic elements for multiaquifer flow. Journal of Hydrology 271, no. 1-4: 119-129.
7. Bischoff, H. 1981. An integral equation method to solve three dimensional flow to drainage systems. Applied Mathematical Modelling 5, 399-404.
8. Chen, C., J. Wan, and H. Zhan. 2003. Theoretical and experimental studies of coupled seepage-pipe flow to a horizontal well. Journal of Hydrology 281, 159-171.
9. Cunningham, W.L., E.S. Bair, and W.P. Yost. 1995. Hydrogeology and simulation of ground-water flow at the South Well Field, Columbus, Ohio. USGSWRI-95-4279.
10. Eberts, S.M., and E.S. Bair. 1990. Simulated effects of quarry dewatering near a municipal well field. Ground Water 28, no. 1: 37-47.
11. Fitts, C.R. 1991. Modeling three-dimensional flow about ellipsoidal inhomogeneities with application to flow to a gravel-packed well and flow through lens-shaped inhomogeneities. Water Resources Research 27, no. 5: 815-824.
12. Haitjema, H.M. 1987. Modeling three-dimensional flow near a partially penetrating well in a stratified aquifer. Pp. 532-540 in Proceedings of the NWWA Conference on Solving Groundwater Problems with Models, Denver, Colorado. National Water Well Association Dublin, Ohio.
13. Haitjema, H.M. 1985. Modeling three-dimensional flow in confined aquifers by superposition of both two- and three-dimensional analytic functions. Water Resources Research 21, no. 10: 1557-1566.
14. Haitjema, H.M. 1982. Modeling three-dimensional flow in confined aquifers using distributed singularities. Ph.D. thesis, Department of Civil Engineering, University of Minnesota.
15. Haitjema, H.M., and S.R. Kraemer. 1988. A new analytic function for modeling partially penetrating wells. Water Resources Research 24, no. 5: 683-690.
16. Hantush, M.S., and I.S. Papadopulos. 1962. Flow of ground water to collector wells. Proceedings, American Society of Civil Engineers, Journal of the Hydraulics Division HY5, 221-224.
17. Huisman, L. 1972. Groundwater Recovery. London, UK: MacMillan.
18. Janković, I., and R. Barnes. 2001. PhreFlow Computer Program for Modeling Three-Dimensional Unconfined Transient Groundwater Flow and Transport with Partially Penetrating Wells and Inhomogeneities Shaped as Rotational Ellipsoids. http://www.groundwater.buffalo.edu/software/phreflow/PhreFlowMain. html. Accessed April 2005.
19. Janković, I., and R. Barnes. 1999. Three-dimensional flow through large numbers of spheroidal inhomogeneities. Journal of Hydrology 226, no. 3-4: 224-233.
20. Leake, S.A., and P.A. Mock. 1997. Dimensionality of ground water flow models. Ground Water 35, no. 6: 930.
21. Luther, K.H. 1998. Analytic solutions to three-dimensional unconfined groundwater flow near wells. Ph.D. thesis, School of Public and Environmental Affairs, Indiana University.
22. Luther, K.H., and H.M. Haitjema. 1999. An analytic solution to unconfined flow near partially penetrating wells. Journal of Hydrology 226, no. 3-4: 197-203.
23. Munson, B.R., D.F. Young, and T.H. Okiishi. 1998. Fundamentals of Fluid Mechanics, 3rd ed. New York: Wiley.
24. Ophori, D.U., and R.N. Farvolden. 1985. A hydraulic trap for preventing collector well contamination: A case study. Ground Water 23, no. 5: 600-610.
25. Steward, D.R., and W. Jin. 2001. Gaining and losing sections of horizontal wells. Water Resources Research 37, no. 11: 2677-2685.
26. Strack, O.D.L. 1989. Groundwater Mechanics. Englewood Cliffs, New Jersey: Prentice Hall. http://www.strackconsulting.com.
27. Strack, O.D.L. 1984. Three-dimensional streamlines in Dupuit-Forchheimer models. Water Resources Research 20, no. 7: 812-822.
28. Todd, D.K. 1959. Ground Water Hydrology. New York: Wiley.
29. Zhan, H., and E. Park. 2003. Horizontal well hydraulics in leaky aquifers. Journal of Hydrology 281, 129-146.
30. Zhan, H., and V.A. Zlotnik. 2002. Groundwater flow to a horizontal or slanted well in an unconfined aquifer. Water Resources Research 38, no. 7: 1108, doi:10.1029/2001WR000401.