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SELECTED RESEARCH PAPERS IN REFEREED JOURNALS
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Papers are arranged by date of publication.
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The first analytical solution to the complete nonlinear dynamic wave equations in rivers: It overcomes most restrictions of existing numerical models. No need for a grid, or specialized software; no complex discretization, no special numerical treatment or smoothing of the front wave end; no small perturbation, no numerical instability, no linearization, no replacement of momentum equation by empirical relationships. It represents a physically-based solution of the true nonlinear combined mass and momentum equations. The flood wave is continuous in space and time. Its implementation is extremely simple with any standard mathematics program (e.g., Matlab).
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A new simple analytical method to model regional groundwater flow in aquifers with irregular boundaries, without the need for numerical methods:
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An analytical groundwater modeling procedure in aquifers with irregular boundaries, without the need for numerical methods:
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Improving Adomian Decomposition Method (ADM) to analytically model nonlinear, stochastic, steady, or transient flow and transport in multi-dimensional aquifers, without the need for numerical methods, or small perturbation:
Modeling stream-aquifer interaction:
Stochastic modeling of linear and nonlinear flow in aquifers:
Nonlinear and stochastic modeling of stream-aquifer interaction:
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The first analytical solution of the nonlinear kinematic flood wave in rivers: It overcomes most restrictions of existing numerical models (e.g., no need for a grid, specialized software, complex discretization, special smoothing of the front wave end, small perturbation, numerical instability, linearization, etc.). The flood wave is continuous in space and time. Its implementation is extremely simple with any standard mathematics program (e.g., Matlab).
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Analytical solution of the nonlinear Richard’s equation, including a new physically-based model of infiltration in watersheds:
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A new, improved, analytical solution of the nonlinear Green and Ampt infiltration equation:
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Forecasting contaminant plumes governed by the advective-dispersive equation under various models of nonlinear chemical reactions:
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Groundwater flow in phreatic aquifers governed by the exact differential equation (i.e., when Dupuit assumptions are not valid):
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A new analytical solution of the nonlinear Green and Ampt infiltration equation:
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New solutions of the advective-dispersive equation under various models of nonlinear chemical reactions:
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Flood routing models:
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Modeling stream-aquifer interaction:
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Modeling scale-dependent transport in aquifers:
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Modeling stream-aquifer interaction:
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Analytical solution of the nonlinear infiltration equation:
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Models of scale-dependent dispersion in aquifers, without small perturbation, or other restrictive assumptions:
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Modeling stream-aquifer interaction:
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Anew solution of the steady confined radial flow to a well, but for a heterogeneous aquifer:
Serrano, S.E., 1997b. The Theis Solution in Heterogeneous Aquifers. Ground Water, 35(3):463-467.
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Modeling Non-Fickian transport in heterogeneous aquifers:
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Models of scale-dependent dispersion in aquifers, without small perturbation or other restrictive assumptions:
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A general methodology to develop scale-dependent dispersion models in heterogeneous aquifers under non-stationary conditions, without perturbation, linearization, or other restrictive assumptions. Hydrologic aquifer properties may be specifically included:
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Analytical solution of the groundwater flow equation subject to the exact non-linear free-surface boundary condition:
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Modeling scale-dependent dispersion in aquifers, without perturbation, linearization, or other restrictive assumptions. Hydrologic aquifer properties may be specifically included:
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Semi-analytical modeling of dispersion in aquifers:
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Modeling the propagation of volatile organic compounds in porous media:
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Stochastic analysis of groundwater flow:
Serrano, S.E., and Liang*, J., 1992. A Stochastic Groundwater Model and Its Parameter Estimation. Chinese Journal of Hydraulic Engineering, 11(2):11-21.
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Modeling infiltration in hysteretic soils using stochastic differential equations:
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Semigroup solutions of groundwater flow equations:
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Streamflow forecasting with the Instantaneous Unit Hydrograph using stochastic differential equations:
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Semigroup solutions of groundwater contaminant flow and transport, without small perturbation, or other restrictive assumptions:
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Stochastic analysis of groundwater flow in phreatic aquifers:
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Does agricultural drainage increase flood peaks?
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The hydrology of the Guajira Peninsula, Colombia:
Jousma, G., and Serrano, S., 1980. Hydrologic Study of the Middle and Low Guajira. Journal of the Colombian Geological Survey, 23(3):39-80.
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SAMPLE OF TECHNICAL BOOK CHAPTERS
Serrano, S.E., 1993. Groundwater Flow and Contaminant Transport in Aquifers Subject to Large Parameter Uncertainty. In Computational Stochastic Mechanics, pages 475-491, edited by A.H-D. Cheng and C.Y. Yang, Computational Mechanics Publications, Elsevier Applied Science, New York, NY
Serrano, S.E., Unny, T.E., and Lennox, W.C., 1986. Analysis of Stochastic Groundwater Flow Problems in Sobolev Space. In Multivariate Analysis of Hydrologic Processes, edited by H.W. Shen, J.T.B. Obeysekera, V. Yevjevich, and D.G. Decoursey, pp. 304-321. Engineering Research Center, Colorado State University, Fort Collins, Colorado
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TECHNICAL NOTES, DISCUSSIONS, AND COMMENTS PUBLISHED IN REFEREED JOURNALS
Serrano, S.E., 2007. Closure to Discussion of “Development and Verification of an Analytical Solution for Forecasting Nonlinear Kinematic Flood Waves.” ASCE Journal of Hydrologic Engineering, 12(6):705-706
Serrano, S.E., 2006. Closure to “Discussion of Closure to Explicit Solution to Green and Ampt Infiltration Equation.” ASCE Journal of Hydrologic Engineering, 11(3):284-290
Serrano, S.E., 2005. Closure to Discussion of “Improved Decomposition Solution to Green and Ampt Equation”. ASCE Journal of Hydrologic Engineering,, 10(5):435-436
Serrano, S.E., 2005. Closure to Discussion of “Modeling Groundwater Flow under Transient Nonlinear Free Surface.” ASCE Journal of Hydrologic Engineering, 10(5):429-433
Serrano, S.E., 2003. Closure to Discussion of “Explicit Solution to Green and Ampt Infiltration Equation.” ASCE Journal of Hydrologic Engineering, 8(3)168-170
Kacimov, A.R., and Serrano, S.E.., 2003. Comments on an Exact Analytical Solution of the Boussinesq Equation. Transport in Porous Media, 52:389-394
Serrano, S.E., 2002. Comment on “Beach Water Fluctuations due to Spring-Neap Tides:Moving Boundary Effects.” Advances in Water Resources, 25:585-588.
Serrano, S.E., 2002. Reply to Comment on “Solute Transport Under Non-Linear Sorption and Decay.” Water Research, 36(12):3171-3172.
Serrano, S.E., and Workman, S.R., 2000. Reply to Comment on “Modeling Transient Stream/Aquifer Interaction with the Non-Linear Boussinesq Equation and its Analytical Solution. ” Journal of Hydrology, 235:293-296
Serrano, S.E., 1999. Reply to Comment on “Analytical Decomposition of the Non-Linear Unsaturated Flow Equation.” Water Resources Research, 35(2):611-612
Serrano, S.E., 1999. Reply to Comment on Application of the Water-Content-Based Form of Richards’ Equation to Heterogeneous Soils by Russo and by Serrano. Water Resources Research, 35(2):611-612
Serrano, S.E., 1999. Reply to Comment on “Analytical Solutions of the Non-Linear Groundwater Flow Equation in Unconfined Aquifers and the Effect of Heterogeneity.” Water Resources Research, 35(1):345-346
Serrano, S.E., 1996. Reply to Comment on “The Form of the Dispersion Equation Under Recharge and Variable Velocity, and Its Analytical Solution.” Water Resources Research, American Geophysical Union, 32(9):2967-2968
Serrano, S.E., 1996. Comment on “Operator and Integro-Differential Representations of Conditional and Unconditional Stochastic Subsurface Flow.” Stochastic Hydrology and Hydraulics, 10(2):151-161
Serrano, S.E., 1993b. Reply to Comment on “The Form of the Dispersion Equation Under Recharge and Variable Velocity, and Its Analytical Solution.” Water Resources Research, American Geophysical Union, 29(7):2467-2468
Serrano, S.E., 1993. Closure to Discussion on “Migration of Chloroform in Aquifers.” Journal of Environmental Engineering, American Society of Civil Engineers, 119(4):755-756