Stochastic modeling of transient stream-aquifer interaction with the nonlinear Boussinesq equation

Journal of Hydrology

Volumn 328, Issue 3-4, 2006, Pages 538-547

  Srivastava, Kirti ^a   Serrano, Sergio E ^b   Workman, S R ^c  

^a NATIONAL GEOPHYSICAL RESEARCH INSTITUTE   (India)

^b Temple University   (United States)

^c UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Analytical solution; Nonlinear equation; Stochastic model; Stream aquifer interaction; Unconfined aquifer

Indexed keywords

AQUIFERS; BOUNDARY CONDITIONS; FLOODS; GROUNDWATER FLOW; NONLINEAR EQUATIONS; RANDOM PROCESSES;

ANALYTICAL SOLUTIONS; STOCHASTIC MODELS; STREAM-AQUIFER INTERACTION; UNCONFINED AQUIFER;

STREAM FLOW;

AQUIFERS; BOUNDARY CONDITIONS; FLOODS; GROUNDWATER FLOW; NONLINEAR EQUATIONS; RANDOM PROCESSES; STREAM FLOW;

AQUIFER; GROUNDWATER-SURFACE WATER INTERACTION; MODELING; STOCHASTICITY; STREAM;

EID: 33746914412     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2005.12.035     Document Type: Article

References (41)

1. Abbaoui K., and Cherruault Y. Convergence of Adomians method applied to differential equations. Comput. Math. Appl. 28 5 (1994) 103-109
2. Adomian G. A review of the decomposition method and some recent results for nonlinear equations. Comput. Math. Appl. 21 5 (1991) 101-127
3. Adomian G. Solving Frontier Problems of Physics - The Decomposition Method (1994), Kluwer Academic Publishers, Boston
4. Adomian G., and Serrano S.E. Stochastic contaminant transport equation in Porous media. Appl. Math. Lett. 1191 (1998) 53-55
5. Bear J. Hydraulics of Groundwater (1979), McGraw-Hill, New York, NY
6. Biazar J., Babolian E., Kember G., Nouri A., and Islam R. An alternate algorithm for computing Adomian polynomials in spectral cases. Appl. Math. Comput. 138 (2003) 523-529
7. Gabet L. The decomposition method and linear partial differential equations. Math. Comput. Model. 21 6 (1993) 11-22
8. Gabet L. The decomposition method and distributions. Comput. Math. Appl. 27 3 (1994) 41-49
9. Hantush M.M., and MariZo M.A. Stochastic solution to inverse problem I groundwater. J. Hydrol. Eng. ASCE 123 12 (1997) 1139-1146
10. Hanush M.M., and MariZo M.A. Hydraulics of stream flow with bank storage. J. Hydrol. Eng. ASCE 7 1 (2002) 76-89
11. Hussein M., and Schwartz F.W. Modeling of flow and contaminant transport in coupled stream aquifer systems. Water Resour. Res. 65 1-2 (2003) 41-64
12. Jagucki, M.L. Finton, C.D., Springer, A.E., Bair, E.S., 1995. Hydrogeology and water quality at the management System evaluation Area near Piketon, Ohio. US Geological survey Water Resources Investigation Report, 95-4139, 117 p.
13. Kirkham D. Steady state theories for drainage. J. Irrigat. Drain. Div., ASCE 92 1 (1966) 19-39
14. Lal A.M.W. Numerical errors in groundwater and overland flow models. Water Resour. Res. 36 5 (2000) 1237-1247
15. Moench A.F., and Barlow P.M. Aquifer response to stream stage and recharge variations. I Analytical step response functions. J. Hydrol. 230 (2000) 192-210
16. Norris S.E. Aquifer tests and well field performance, Scioto river valley near Piketon, Ohio, Part I. Ground Water 21 3 (1983) 287-292
17. Norris S.E. Aquifer tests and well field performance, Scioto river valley near Piketon, Ohio, Part II. Ground Water 21 4 (1983) 438-444
18. Norris, S.E., Fidler, R.E., 1969. Hydrogeology of the Scioto river valley near Piketon, South central Ohio. US Geological Water Supply Paper 1872, 70 pp.
19. Nortz E., Bair E.S., Ward A., and White D. Interaction between an alluvial aquifer well field and the Scioto River, Ohio, USA. Appl. Hydrogeol. 4 (1994) 23-34
20. Polubarinova-Kochina P.V. Theory of Groundwater Movement (1962), Princeton University Press, Princeton, NJ
21. Serrano S.E. Semi analytical methods in stochastic groundwater transport. Appl. Math. Model. 16 (1992) 181-191
22. Serrano S.E. Analytical solutions to nonlinear groundwater flow equation in unconfined aquifers and effect of heterogeneity. Water Resour. Res. 31 11 (1995) 2733-2742
23. Serrano S.E. Forecasting scale dependent dispersion from spills in heterogeneous aquifers. J. Hydrol. 169 (1995) 151-169
24. Serrano S.E. Hydrology for Engineers, Geologists and Environmental Professionals: An Integrated Treatment of Surface Subsurface, and Contaminant Hydrology (1997), HydroScience Inc., Lexington, KY
25. Serrano S.E. Analytical decomposition of the non-linear infiltration equation. Water Resour. Res., American Geophysical Union 34 3 (1998) 397-407
26. Serrano S.E. Engineering Uncertainty and Risk Analysis. A Balanced Approach to Probability, Statistics, Stochastic Modeling, and Stochastic Differential Equations (2001), HydroScience Inc., Lexington, KY
27. Serrano S.E. Propagation of nonlinear reactive contaminants in porous media. Water Resour. Res. 39 8 (2003) 1228 13-1-14
28. Serrano S.E., and Adomian G. New contributions to the solution of transport equations in porous media. Math. Comput. Model. 24 4 (1996) 15-25
29. Serrano S.E., and Unny T.E. Semigroup solutions of the unsteady groundwater flow equation with stochastic parameters. Stoch. Hydrol. Hydraul. 1 4 (1987) 281-296
30. Serrano S.E., and Workman S.R. Modeling transient stream-aquifer interaction with the nonlinear Boussinesq equation and its analytical solution. J. Hydrol. 206 (1998) 245-255
31. Srivastava K. Modeling the variability of heat flow due to random thermal conductivity of the crust. Geophy. J. Int. 160 2 (2005) 776-782
32. Srivastava K., and Singh R.N. A stochastic model to quantify the steady state crustal geotherms subject to uncertainty in thermal conductivity. Geophy. J. Int. 138 (1999) 895-899
33. Strack O.D.L. Ground Water Mechanics (1989), Prentice-Hall, Englewood Cliffs, NJ
34. Tabidian M.A., Pederson D., and Tabidian P.A. A paleo valley aquifer system and its interaction with the big Blue river of Nebraska during a major flood. In: Borden R.C., and Lyke W.L. (Eds). The Future Availability of Groundwater Resources (1992), American Water Resource Association 165-172
35. Van De Giesen N.C., Parlange N.Y., and Steenhius T.S. Transient flow to open drains: comparison to linearized solution with and without Dupuit assumptions. Water Resour. Res. 30 11 (1994) 3033-3039
36. Wazwaz A.M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl. Math. Comput. 111 (2000) 53-69
37. Wazwaz A.M., and Gorguis A. Exact solutions for heat like and wave like equations with variable coefficients. Appl. Math. Comput. 149 (2004) 15-29
38. Weissmann G.S., and Fogg G.E. Multi scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework. J. Hydrol. 226 (1999) 48-65
39. Weissmann G.S., Carle S.F., and Fogg G.E. Three dimensional hydrofacies modeling based on soil surveys and transitional probability geostatistics. Water Resour. Res. 35 (1999) 1761-1770
40. Workman S.R., and Serrano S.E. Recharge to Alluvial Valley aquifers from overbank flow and excess infiltration. J. Amer. Water Resour. Associat. 35 2 (1999)
41. Workman S.R., Serrano S.E., and Liberty K. Development and application of an analytical model of stream/aquifer interaction. J. Hydrol. 200 (1997) 149-163