Flow to a horizontal well in an aquitard-aquifer system

Journal of Hydrology

Volumn 321, Issue 1-4, 2006, Pages 364-376

  Sun, Dongmin ^a   Zhan, Hongbin ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Groundwater surface water interaction; Hantush's approximation; Horizontal wells; Leaky aquifer; Water supply

Indexed keywords

APPROXIMATION THEORY; AQUIFERS; GROUNDWATER; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; TRANSITION FLOW;

GROUNDWATER-SURFACE WATER INTERACTIONS; HANTUSH'S APPROXIMATION; LEAKY AQUIFERS; WELL LENGTH;

HORIZONTAL WELLS;

APPROXIMATION THEORY; AQUIFERS; GROUNDWATER; GROUNDWATER FLOW; HORIZONTAL WELLS; HYDRAULIC CONDUCTIVITY; TRANSITION FLOW;

AQUIFER; GROUNDWATER; INTERFACE; TRANSIENT FLOW; WELL;

EID: 33646119418     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2005.08.008     Document Type: Article

References (38)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1972), Dover, Mineola, New York, USA
2. Barlow P.M., and Moench A.F. Analytical solutions and computer programs for hydraulic interaction of stream-aquifer systems. US geological Survey Open-File Report 98-415 A (1998) p. 85
3. Bear J. Hydraulics of Ground Water (1979), McGraw-Hill, New York, USA
4. Butler J.J., Zlotnik V.A., and Tsou M.S. Drawdown and stream depletion produced by pumping in the vicinity of a finite width stream of shallow penetration. Ground Water 39 5 (2001) 651-659
5. Chen C., Wan J., and Zhan H. Theoretical and experimental studies of coupled seepage-pipe flow to a horizontal well. J. Hydrol. 281 (2003) 159-171
6. Cleveland T.G. Recovery performance for vertical and horizontal wells using semianalytical simulation. Ground Water 32 1 (1994) 103-107
7. de Hoog F.R., Knight J.H., and Stokes A.N. An improved method for numerical inversion of Laplace transforms. SIAM J. Sci. Stat. Comp. 3 (1982) 357-366
8. Falta R.W. Analytical solutions for gas-flow due to gas injection and extraction from horizontal wells. Ground Water 33 2 (1995) 235-246
9. Glover R.E., and Balmer C.G. River depletion resulting from pumping a well near a river. Eos. Trans. Am. Geophys. Union 35 (1954) 468-470
10. Hantush M.S. Hydraulic of Wells. In: Chow V.T. (Ed). Advances in Hydroscience (1964), Academic Press, New York, USA
11. Hantush M.S. Wells near streams with semipervious beds. J. Geophys. Res. 70 (1965) 2829-2838
12. Hantush M.S. Flow of groundwater in relatively thick leaky aquifers. Water Resour. Res. 3 2 (1967) 583-590
13. Hantush M.S., and Papadopulos I.S. Flow of ground water to collector wells. J. Hydraulic. Div. Proc. Am. Soc. Civ. Eng. HY5 (1962) 221-244
14. Hollenbeck, K. J., 1998. INVLAP.M, A MATLAB function for numerical inversion of Laplace transforms by the de Hoog algorithm, http://www.isva.dtu.dk/staff/karl/invlap.htm.
15. Hunt B. Unsteady stream depletion from ground water pumping. Ground Water 37 1 (1999) 98-102
16. Hunt B. Unsteady stream depletion when pumping from semi-confined aquifer. ASCE J. Hydrologic Engieer. 8 1 (2003) 12-19
17. Hunt, B., 2005. Flow to vertical and non-vertical wells in leaky aquifers. ASCE J. Hydrologic Engieer, in press.
18. Jenkins C.T. Techniques for computing rate and volume of stream depletion by wells. Ground Water 6 2 (1968) 37-46
19. Kollet S.J., and Zlotnik V.A. Stream depletion predications using pumping test data from a heterogeneous stream-aquifer system (a case study from the Great Plains, USA). J. Hydrol. 281 (2003) 96-114
20. Morgan J.H. Horizontal drilling applications of petroleum technologies for environmental purposes. Ground Water Monit. Rev. 12 3 (1992) 98-102
21. Murdoch L.C. Transient analyses of an interceptor trench. Water Resour. Res. 30 11 (1994) 3023-3031
22. Neuman S.P., and Witherspoon P.A. Theory of flow in a confined two-aquifer system. Water Resour. Res. 5 4 (1969) 803-816
23. Neuman S.P., and Witherspoon P.A. Application of current theories of flow in leaky aquifers. Water Resour. Res. 5 4 (1969) 817-829
24. Park E., and Zhan H. Hydraulics of a finite-diameter horizontal well with wellbore storage and skin effect in leaky aquifers. Adv. Water Resour. 25 4 (2002) 389-400
25. Park E., and Zhan H. Hydraulics of horizontal well in fractured shallow aquifer systems. J. Hydrol. 281 (2003) 147-158
26. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical Recipes, the Art of Scientific Computing (FORTRAN Version) (1989), Cambridge Univ. Press, New York
27. Sawyer C.S., and Lieuallen-Dulam K.K. Productivity comparison of horizontal and vertical ground water remediation well scenarios. Ground Water 36 1 (1998) 98-103
28. Stehfest H. Numerical inversion of Laplace transforms. Commun. ACM 13 1 (1970) 47-49
29. Streward D.R., and Jin W. Gaining and losing sections of horizontal wells. Water Resour. Res. 37 11 (2001) 2677-2685
30. Talbot A. The accurate numerical inversion of the Laplace transforms. J. Inst. Math. Its Appl. 23 (1979) 97-120
31. Tarshish M. Combined mathematical model of flow in an aquifer-horizontal well system. Ground Water 30 6 (1992) 931-935
32. Theis C.V. The effect of a well on the flow of a nearby stream. Eos Trans., Am. Geophys. Union 22 (1941) 734-738
33. Tseng P.-H., and Lee T.-C. Numerical evaluation of exponential integral: Theis well function approximation. J. Hydrol. 205 (1998) 38-51
34. Zhan H. Analytical study of capture time to a horizontal well. J. Hydrol. 217 (1999) 46-54
35. Zhan H., and Cao J. Analytical and semi-analytical solutions of horizontal well capture times under no-flow and constant -head boundaries. Adv. Water Resour. 23 8 (2000) 835-848
36. Zhan H., and Zlotnik V.A. Ground water flow to horizontal and slanted wells in unconfined aquifers. Water Resour.Res. 38 7 (2002) 1108 10.1029/2001WR000401
37. Zhan H., and Park E. Hydraulics of horizontal wells in leaky aquifers. J. Hydrol. 281 (2003) 129-146
38. Zhan H., Wang L.V., and Park E. On the horizontal-well pumping tests in anisotropic confined aquifer. J. Hydrol. 252 (2001) 37-50