Modeling stream-aquifer interactions with linear response functions

Journal of Hydrology

Volumn 311, Issue 1-4, 2005, Pages 59-79

  Hantush, Mohamed M ^a  

^a U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

Author keywords

Analytical model; Aquifer; Bank storage; Base flow; Groundwater; Impulse response function; Laplace transform; Stream flow routing; Unit step response function

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; GROUNDWATER; HYDROLOGY; IMPULSE RESPONSE; LAPLACE TRANSFORMS; PROBLEM SOLVING; STREAM FLOW; WATER RESOURCES;

ANALYTICAL MODELS; BANK STORAGE; BASE FLOW; STREAM FLOW ROUTING; UNIT STEP RESPONSE FUNCTION;

AQUIFERS;

BASEFLOW; FLOW MODELING; GROUNDWATER FLOW; GROUNDWATER-SURFACE WATER INTERACTION; LAPLACE TRANSFORM;

EID: 24344496566     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2005.01.007     Document Type: Article

References (36)

1. A.L. Birkhead, and C.S. James Muskingum river routing with dynamic storage J. Hydrol. 264 2002 113 132
2. X. Chen, and X. Chen Stream water infiltration, bank storage, and storage zone changes due to stream-stage fluctuations J. Hydrol. 280 2003 246 264
3. V.T. Chow, D.R. Maidment, and L.W. Mays Applied Hydrology 1988 McGraw-Hill New York pp. 572
4. H.H. Cooper, and M.I. Rorabaugh Ground-water movements and bank storage due to flood stages in surface streams U.S. Geol. Surv. Water Supply Pap. 1536-J 1963 343 366
5. J.A. Cunge On the subject of a flood propagation method (Muskingum method) J. Hydraul. Res. 7 2 1969 205 230
6. R.J. Dever, and R.W. Cleary Unsteady-state, two-dimensional response of leaky aquifers to stream stage fluctuations Adv. Water Resour. 2 1979 13 18
7. R.A. Freez Streamflow generation Rev. Geophys. Space Phys. 12 1974 627 647
8. M.A. Gill Bank storage characteristics of a finite aquifer due to sudden rise and fall of river level J. Hydrol. 76 1985 133 142
9. R.S. Govindaraju, and J.K. Koelliker Applicability of linearized Boussinesq equation for modeling bank storage under uncertain aquifer parameters J. Hydrol. 157 1994 349 366
10. A.B. Gureghian Solutions of Boussinesq's equation for seepage flow Water Resour. Res. 14 2 1978 231 236
11. M.S. Hantush Flow of groundwater in relatively thick leaky aquifers Water Resour. Res. 3 3 1967 583 590
12. M.M. Hantush, M. Harada, and M.A. Mariño Hydraulics of stream flow routing with bank storage J. Hydrol. Engrng. 7 1 2002 76 89
13. M. Harada, M.M. Hantush, M.A. Mariño. 2000. Hydraulic analysis on stream-aquifer interaction by storage function models. Groundwater Updates, IAHR International Symposium 2000 on Groundwater.
14. W. Haushild, and G. Kruse Unsteady flow of ground water into a surface reservoir Trans., Am. Soc. Civil Eng. 127 1962 408 424
15. A.G.J. Hilberts, E.E. van Loon, P.A. Troch, and C. Paniconi The hillslope-storage Boussinesq model for non-constant bedrock slope J. Hydrol. 291 2004 160 173
16. W. Hogarth, R.S. Govindaraju, J.-Y. Parlange, and J.K. Koelliker Linearized Boussinesq equation for bank storage-a correction J. Hydrol. 198 1997 377 385
17. B. Hunt An approximation for the bank storage effect Water Resour. Res. 26 11 1990 2769 2775
18. A.M.W. Lal Modification of canal flow due to stream-aquifer interaction J. Hydraul. Engrng. 127 7 2001 567 576
19. M.A. Mariño Digital simulation model of aquifer response to stream stage fluctuation J. Hydrol. 25 1975 51 58
20. A.F. Moench, and P.M. Barlow Aquifer response to stream-stage and recharge variations. I. Analytical step-response functions J. Hydrol. 230 2000 192 210
21. A.F. Moench, V.B. Sauer, and M.E. Jennings Modification of routed streamflow by channel loss and base flow Water Resour. Res. 10 5 1974 963 968
22. H.J. Morel-Seytoux A combined model of water table and river stage evolution Water Resour. Res. 11 6 1975 968 972
23. H.J. Morel-Seytoux Soil-aquifer-stream interactions-A reductionist attempt toward physically-stochastic integration J. Hydrol. 102 1988 355 379
24. J.Y. Parlange, W.L. Hogarth, M.B. Parlange, R. Haverkamp, D.A. Barry, P.J. Ross, and T.S. Steenhuis Approximate analytical solution of the nonlinear diffusion equation for arbitrary boundary condition Trans. Porous Media 30 1998 45 55
25. S.P. Perkins, and A.D. Koussis Stream-aquifer interaction model with diffusive water routing J. Hydraul. Eng. 122 4 1996 210 218
26. G.F. Pinder, and S.P. Sauer Numerical simulation of flood wave modification due to bank storage effects Water Resour. Res. 7 1 1971 63 70
27. Polubarinova-Kochina Theory of Groundwater Movement 1962 Princeton University Press Princeton, NJ pp. 506-509
28. E.B. Saff, and A.D. Snider Fundamentals Of Complex Analysis for Mathematics, Science, and Engineering 1976 Prentice-Hall New Jersey pp. 444
29. P.J. Saquillace Observed and simulated movement of bank-storage water Ground Water 34 1 1996 121 134
30. M.J. Sharp Jr. Limitations of bank-storage model assumptions J. Hydrol. 35 1977 31 47
31. D.K. Todd Ground-water in relation to a flooding stream Proc. Am. Soc. Civil Eng. 81 1955 1 20 (separate 628)
32. P. Tolikas, A. Damaskinidou, and E. Sidiropoulos Series representation of flux for the Boussinesq equation Water Resour. Res. 26 12 1990 2881 2886
33. W. Viessman Jr, and G.L. Lewis Introduction to Hydrology 1996 Harper Collins New York pp. 760
34. P.J. Whiting, and M. Pomeranets A numerical study of bank storage and its contribution to streamflow J. Hydrol. 202 1997 121 136
35. V.L. Zitta, and J.M. Wiggert Flood routing in channels with bank storage Water Resour. Res. 7 5 1971 1341 1345
36. V.A. Zlotnik, and H. Huang Effect of shallow penetration and streambed sediments on aquifer response to stream stage fluctuations (analytical model) Ground Water 37 4 1999 599 605