Stream depletion rate and volume from groundwater pumping in wedge-shape aquifers

Journal of Hydrology

Volumn 349, Issue 3-4, 2008, Pages 501-511

  Yeh, Hund Der ^a   Chang, Ya Chi ^a   Zlotnik, Vitaly A ^b  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Analytical solution; Groundwater; Stream depletion rate (SDR); Stream depletion volume (SDV); Tributaries; Wedge shaped aquifer

Indexed keywords

AQUIFERS; PARAMETER ESTIMATION; RIVERS; SENSITIVITY ANALYSIS;

STREAM DEPLETION RATE (SDR); STREAM DEPLETION VOLUME (SDV); TRIBUTARIES; WEDGE-SHAPED AQUIFER;

WATER MANAGEMENT;

AQUIFERS; PARAMETER ESTIMATION; RIVERS; SENSITIVITY ANALYSIS; WATER MANAGEMENT;

ANALYTICAL FRAMEWORK; GROUNDWATER ABSTRACTION; PUMPING; RIVER BASIN; SENSITIVITY ANALYSIS; TRIBUTARY; WATER MANAGEMENT; WELL WATER;

EID: 38349038047     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2007.11.025     Document Type: Article

References (36)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (1964), National Bureau of Standards, Dover, Washington, DC
2. Butler Jr. J.J., Zlotnik V.A., and Tsou M.-S. Drawdown and stream depletion produced by pumping in the vicinity of a partially penetrating stream. Ground Water 39 (2001) 651-659
3. Butler Jr. J.J., Zhan X., and Zlotnik V.A. Pumping-induced drawdown and stream depletion in a leaky aquifer system. Ground Water 45 (2007) 178-186
4. Chan Y.K., Mullineux N., Reed J.R., and Wells G.G. Analytic solutions for drawdowns in wedge-shaped artesian aquifers. J. Hydrol. 36 (1978) 233-246
5. Christensen S. On the estimation of stream flow depletion parameters by drawdown analyses. Ground Water 38 5 (2000) 726-734
6. Fox G.A., DuChateau P., and Durnford D.S. Analytical model for aquifer response incorporating distribution stream leakage. Ground Water 40 (2002) 378-384
7. Gerald C.F., and Wheatley P.O. Applied Numerical Analysis (1989), Addison-Wesley, Mass
8. Glover R.E., and Balmer G.G. River depletion resulting from pumping a well near a river. Trans. Am. Geophys. Union 35 (1954) 468-470
9. Hantush M.S. Wells near streams with semipervious beds. J. Geophys. Res. 70 (1965) 2829-2838
10. Hantush M.S. Depletion of flow in right-angle stream bends by steady wells. Water Resour. Res. 3 (1967) 235-240
11. Holzbecher E. Analytical solution for two-dimensional groundwater flow in presence of two isopotential lines. Water Resour. Res. 41 (2005) 10.1029/2005WR004583
12. Huang Y.C., and Yeh H.D. The use of sensitivity analysis in on-line aquifer parameter estimation. J. Hydrol. 335 (2007) 406-418 10.1016/j.jhydrol.2006.12.007
13. Hunt B. Unsteady stream depletion from ground water pumping. Ground Water 37 (1999) 98-102
14. Hunt B. Unsteady stream depletion when pumping from semiconfined aquifer. J. Hydrol. Eng. 8 (2003) 12-19
15. Hunt B. Field-data analysis for stream depletion. J. Hydrol. Eng. 8 (2003) 222-225
16. Hunt B., Weir J., and Clausen B. A stream depletion field experiment. Ground Water 39 2 (2001) 283-289
17. IMSL. Math/Library, Special Functions (1997), Visual Numerics Inc., Houston
18. Jeffrey A., Ryzhik I., Gradshteyn I., Geronimus Y., and Tseytlin M. Tables of Integrals, Series, and Products (1980), Academic Press, New York
19. Jenkins C.T. Techniques for computing rate and volume of stream depletion by wells. Ground Water 6 (1968) 37-46
20. Kollet S., and Zlotnik V.A. Stream depletion predictions using data of pumping tests in heterogeneous stream-aquifer system in the Great Plains, USA. J. Hydrol. 281 1-2 (2003) 96-114
21. Kollet S.J., and Zlotnik V.A. Evaluation of the streambed leakage concept in analytical models using data from three pumping tests. Hydrogeol. J. 15 (2007) 1-12 10.1007/s10040-006-0156-7
22. Lambs L. Interactions between groundwater and surface water at river banks and the confluence of rivers. J. Hydrol. 288 (2004) 312-326
23. Lough H.K., and Hunt B. Pumping test evaluation of stream depletion parameters. Ground Water 44 (2006) 540-546
24. McCuen R.H. Statistical Methods for Engineers (1985), Prentice Hall, Englewood Cliffs, New Jersey
25. Miller C.D., Durnford D., Halstead M.R., Altenhofen J., and Flory V. Stream depletion in alluvial valleys using the SDF semianalytical model. Ground Water 45 (2007) 506-514
26. Peng H.Y., Yeh H.D., and Yang S.Y. Improved numerical evaluation for the radial groundwater flow equation. Adv. Water Resour. 25 (2002) 663-675
27. Shanks D. Non-linear transformations of divergent and slowly convergent sequence. J. Math. Phys. 34 (1955) 1-42
28. Theis C.V. The effect of a well on the flow of a nearby stream. Trans. Am. Geophys. Union 22 (1941) 734-738
29. Yang S.Y., and Yeh H.D. Solution for flow rates across the wellbore in a two-zone confined aquifer. J. Hydrol. Eng. 128 (2002) 175-183
30. Yeh H.D. Theis' solution by nonlinear least-squares and finite- difference Newton's method. Ground Water 25 (1987) 710-715
31. Yeh H.D., and Chang YC. New analytical solutions for groundwater flow in wedge-shaped aquifers with various topographic boundary conditions. Adv. Water Resour. 29 (2006) 471-480
32. Yeh H.D., Yang S.Y., and Peng H.Y. A new closed-form solution for a radial two-layer drawdown equation for groundwater under constant-flux pumping in a finite-radius well. Adv. Water Resour. 26 (2003) 747-757
33. Zlotnik V.A. A concept of maximum stream depletion rate for leaky aquifers in alluvial valleys. Water Resour. Res. 40 (2004) W06507 10.1029/2003WR002932
34. Zlotnik V.A., and Huang H. Effect of partial penetration and streambed sediments on aquifer response to stream stage fluctuations. Ground Water 37 (1999) 599-605
35. Zlotnik V.A., and Tartakovsky D.M. Stream depletion by groundwater pumping in leaky aquifers. J. Hydrol. Eng. February (2008)
36. Zlotnik, V., Huang, H., Butler Jr., J.J., 1999. Evaluation of stream depletion considering finite stream width, shallow penetration, and properties of streambed sediments. In: Proceedings of Joint Congress, Water 99, Brisbane, Australia, July 6-8, pp. 221-226. (also available at ).