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Free Research Papers Published in Refereed Journals

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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).

Doganay, E., and Serrano, S.E., 2020. New Analytical Solution of the Nonlinear Dynamic Flood Wave Equation in Rivers. HydroScience Inc., Simpsonville, SC

Serrano, S. E., 2016. Propagation of Nonlinear Flood Waves in Rivers. ASCE Journal of Hydrologic Engineering. 21(1):04015053:1-7. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0001268

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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:

Tiaiff, S.*, and Serrano, S. E., 2015. Regional Groundwater Flow in the Louisville Aquifer. Groundwater, 53(4):550-557. DOI:10.1111/gwat.12242

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An analytical groundwater modeling procedure in aquifers with irregular boundaries, without the need for numerical methods:

Serrano, S. E., 2013. A Simple Approach to Groundwater Modeling with Decomposition. Hydrological Sciences Journal, 58(1):1-9. DOI:10.1080/02626667.2012.745938

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Udoeyo, F. F., Serrano, S. E., Weathers, A., Khan, B., Gao, Y., and Selkregg, S., 2012. Strength Performance and Behavior of Concrete Containing Industrial Wastes as Supplementary Cementitious Material (SCM). Internationl Journal of Research and Reviews in the Applied Sciences, 12 (1), 12-17. http://www.arpapress.com/Volumes/Vol12Issue1/IJRRAS_12_1_03.pdf

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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:

Serrano, S.E., 2012. New Approaches to the Propagation of Nonlinear Transients in Porous Media. Journal of Transport in Porous Media, 93(2):331-346. DOI : 10.1007

Patel, A., and Serrano, S.E., 2011. Decomposition Solution of Multidimensional Groundwater Equations. Journal of Hydrology. 397:202-209. http://dx.doi.org/10.1016/j.jhydrol.2010.11.032

Modeling stream-aquifer interaction:

Serrano, S.E., and Workman, S.R., 2008. Experimental Verification of Models of Nonlinear Stream Aquifer Transients. ASCE Journal of Hydrologic Engineering, 13(12):1119-1124.

Serrano, S.E., Workman, S.R., Srivastava, K., and Miller-Van Cleave, B., 2007. Models of Nonlinear Stream Aquifer Transients. Journal of Hydrology, 336(1-2):199-205. http://dx.doi.org/10.1016/j.jhydrol.2007.01.016

Stochastic modeling of linear and nonlinear flow in aquifers:

Srivastava, K., and Serrano, S.E., 2007. Uncertainty Analysis of Linear and Nonlinear Groundwater Flow in a Heterogeneous Aquifer. ASCE Journal of Hydrologic Engineering, 12(3):306-318. doi:10.1061/(ASCE)1084-0699(2007)12:3(306)

Nonlinear and stochastic modeling of stream-aquifer interaction:

Srivastava, K., Serrano, S.E., and Workman, S.R., 2006. Stochastic Modeling of Stream-Aquifer Interaction with the Nonlinear Boussinesq Equation. Journal of Hydrology, 328:538-547. doi:10.1016/j.jhydrol.2005.12.035

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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).

Serrano, S.E., 2006. Development and Verification of an Analytical Solution for Forecasting Nonlinear Kinematic Flood Waves. ASCE Journal of Hydrologic Engineering, 11(4):347-353. doi:10.1061/(ASCE)1084-0699(2006)11:4(347).

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Analytical solution of the nonlinear Richard’s equation, including a new physically-based model of infiltration in watersheds:

Serrano, S.E., 2004. Modeling Infiltration with Approximate Solutions of Richard’s Equation. ASCE Journal of Hydrologic Engineering, 9(5):421-432. doi:10.1061/(ASCE)1084-0699(2004)9:5(421)

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A new, improved, analytical solution of the nonlinear Green and Ampt infiltration equation:

Serrano, S.E., 2003. Improved Decomposition Solution to Green and Ampt Equation. ASCE Journal of Hydrologic Engineering,, 8(3):158-160. doi:10.1061/(ASCE)1084-0699(2003)8:3(158)

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Forecasting contaminant plumes governed by the advective-dispersive equation under various models of nonlinear chemical reactions:

Serrano, S.E., 2003. Propagation of Nonlinear Reactive Contaminants in Porous Media. Water Resources Research, American Geophysical Union, 39(8):1228-1242.

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Groundwater flow in phreatic aquifers governed by the exact differential equation (i.e., when Dupuit assumptions are not valid):

Serrano, S.E., 2003. Modeling Groundwater Flow under a Transient Non-linear Free Surface. ASCE Journal of Hydrologic Engineering, 8(3):123-132. doi:10.1061/(ASCE)1084-0699(2003)8:3(123)

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A new analytical solution of the nonlinear Green and Ampt infiltration equation:

Serrano, S.E., 2001b. An Explicit Solution to the Green and Ampt Infiltration Equation. Journal of Hydrologic Engineering, American Society of Civil Engineers, 6(4):336-340. doi:10.1061/(ASCE)1084-0699(2001)6:4(336)

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New solutions of the advective-dispersive equation under various models of nonlinear chemical reactions:

Serrano, S.E., 2001a. Solute Transport under Non-Linear Sorption and Decay. Water Research, International Association of Water Quality, 35(6):1525-1533.

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Flood routing models:

Gelegenis, J., and Serrano, S.E.,2000 Analysis of Muskingum Equation Based Flood Routing Schemes. Journal of Hydrologic Engineering, American Society of Civil Engineers, 5(1):102-105.

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Modeling stream-aquifer interaction:

Workman, S.R. and S.E. Serrano. 1999. Recharge to Alluvial Valley Aquifers from Overbank Flow and Excess Infiltration. Journal of the American Water Resources Association, 35(2): 425-432.

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Modeling scale-dependent transport in aquifers:

Serrano, S.E., 1999a. KYSPILL: A Practical System of Modeling Scale-Dependent Dispersion After Chemical Spills. Ground Water, 37(1):18-22.

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Modeling stream-aquifer interaction:

Serrano, S.E., and Workman, S.R., 1998c. Modeling Transient Stream/Aquifer Interaction with the Non-Linear Boussinesq Equation and its Analytical Solution, Journal of Hydrology, 206:245-255.

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Analytical solution of the nonlinear infiltration equation:

Serrano, S.E., 1998b. Analytical Decomposition of the Non-Linear Unsaturated Flow Equation. Water Resources Research, American Geophysical Union, 34(3):397-407.

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Models of scale-dependent dispersion in aquifers, without small perturbation, or other restrictive assumptions:

Adomian, G., and Serrano, S.E., 1998a. Stochastic Contaminant Transport Equation in Porous Media. Applied Mathematics Letters, 11(1):53-55.

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Modeling stream-aquifer interaction:

Workman, S.R., Serrano, S.E., and Liberty *, K., 1997. Development and Application of an Analytical Model of Stream/Aquifer Interaction. Journal of Hydrology, 200:149-163.

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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:

Serrano, S.E., 1997a. Non-Fickian Transport in Heterogeneous Saturated Porous Media. Journal of Engineering Mechanics, American Society of Civil Engineers, 123(1):70-76.

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Models of scale-dependent dispersion in aquifers, without small perturbation or other restrictive assumptions:

Serrano, S.E., and Adomian, G., 1996. New Contributions to the Solution of Transport Equations in Porous Media. Mathematical and Computer Modeling, 24(4):15-25.

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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:

Serrano, S.E., 1996c. Hydrologic Theory of Dispersion in Heterogeneous Aquifers. Journal of Hydrologic Engineering, American Society of Civil Engineers, 1(4):144-151.

Serrano, S.E., 1996b. Towards a Non-Perturbation Transport Theory in Heterogeneous Aquifers. Mathematical Geology, 28(6):701-721.

Serrano, S.E., 1995b. Forecasting Scale Dependent Dispersion from Spills in Heterogeneous Aquifers. Journal of Hydrology, 169:151-169.

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Analytical solution of the groundwater flow equation subject to the exact non-linear free-surface boundary condition:

Serrano, S.E., 1995a*. Analytical Solutions of the Non-Linear Groundwater Flow Equation in Unconfined Aquifers and the Effect of Heterogeneity. Water Resources Research, American Geophysical Union, 31(11):2733-2742.

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Modeling scale-dependent dispersion in aquifers, without perturbation, linearization, or other restrictive assumptions. Hydrologic aquifer properties may be specifically included:

Serrano, S.E., 1992c*. The Form of the Dispersion Equation Under Recharge and Variable Velocity, and its Analytical Solution. Water Resources Research, American Geophysical Union, 28(7):1801-1808.

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Semi-analytical modeling of dispersion in aquifers:

Serrano. S.E., 1992b. Semi-Analytical Methods in Stochastic Groundwater Transport. Applied Mathematical Modelling, 16:181-191.

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Modeling the propagation of volatile organic compounds in porous media:

Serrano, S.E., 1992a. Migration of Chloroform in Aquifers. Journal of Environmental Engineering, American Society of Civil Engineers, 118(2):167-182.

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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.

Serrano, S.E., 1990c. Using the C Language to Approximate Non-Linear Stochastic Systems. Advances in Engineering Software, 12(2):59-68.

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Modeling infiltration in hysteretic soils using stochastic differential equations:

Serrano, S.E., 1990b. Stochastic Differential Equation Models of Erratic Infiltration. Water Resources Research, American Geophysical Union, 26(4):703-712.

Serrano, S.E., 1990a. Modeling Infiltration in Hysteretic Soils. Advances in Water Resources, 13(1):12-23.

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Semigroup solutions of groundwater flow equations:

Serrano S.E., and Unny, T.E., 1990. Random Evolution Equations in Hydrology. Applied Mathematics and Computation, 38:201-226.

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Streamflow forecasting with the Instantaneous Unit Hydrograph using stochastic differential equations:

Sarino*, and Serrano, S.E., 1990. Development of the Instantaneous Unit Hydrograph Using Stochastic Differential Equations. Stochastic Hydrology and Hydraulics, 4(2):151-160.

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Semigroup solutions of groundwater contaminant flow and transport, without small perturbation, or other restrictive assumptions:

Serrano, S.E., 1989*. A New Approach in Modeling Groundwater Pollution Under Uncertainty. Probabilistic Engineering Mechanics, 4(2):85-98.

Serrano, S.E., 1988a. General Solution to Random Advective-Dispersive Equation in Porous Media. Part I: Stochasticity in The Sources and in the Boundaries. Stochastic Hydrology and Hydraulics, 2(2):79-98.

Serrano, S.E., 1988b*. General Solution to Random Advective-Dispersive Equation in Porous Media. Part II: Stochasticity in the Parameters. Stochastic Hydrology and Hydraulics, 2(2):99-112.

Serrano, S.E., and Unny, T.E., 1987b. Semigroup Solutions of the Unsteady Groundwater Flow Equation with Stochastic Parameters. Stochastic Hydrology and Hydraulics, 1(4):281-296.

Serrano, S.E., and Unny, T.E., 1987a: Predicting Groundwater Flow in a Phreatic Aquifer. Journal of Hydrology, 95:241-268.

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Stochastic analysis of groundwater flow in phreatic aquifers:

Serrano, S.E., and Unny, T.E., 1986. Boundary Element Solution of the Two-Dimensional Groundwater Flow Equation With Stochastic Free-Surface Boundary Condition. Numerical Methods in Partial Differential Equations, 2:237-258.

Serrano, S.E., Unny, T.E. and Lennox, W.C., 1985c. Analysis of Stochastic Groundwater Flow Problems. Part III: Approximate Solution of Stochastic Partial Differential Equations. Journal of Hydrology, 82(3-4): 285-306.

Serrano, S.E., Unny, T.E., and Lennox, W.C., 1985b. Analysis of Stochastic Groundwater Flow Problems. Part II: Stochastic Partial Differential Equations in Groundwater Flow. A Functional-Analytic Approach. Journal of Hydrology, 82(3-4): 265-284.

Serrano, S.E., Unny, T.E., and Lennox, W.C., 1985a. Analysis of Stochastic Groundwater Flow Problems. Part I: Deterministic Partial Differential Equations in Groundwater Flow. A Functional Analytic Approach. Journal of Hydrology, 82(3-4): 247-263.

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Does agricultural drainage increase flood peaks?

Serrano, S., Whiteley, H.R., and Irwin, R., 1985. Drainage Effects on Streamflow in The Middle Thames River, 1949-1980. Canadian Journal of Civil Engineering, 12:875-885.

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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., 2016. Decomposition Methods, Chapter 34, Handbook of Applied Hydrology Edited by Vijay P. Singh, 2nd Ed. In commemoration of the 50th anniversary of the first edition edited by Prof. V. T. Chow. McGraw Hill, NY

Serrano, S.E., 2002. Semigroup an Decomposition Methods in Solving Stochastic Subsurface Contamination Problems. In Stochastic Methods in Subsurface Contaminant Hydrology, edited by Rao S. Govindaraju, pp. 307-326. ASCE Press, Reston, Virginia.

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., and Unny, T.E., 1987. Stochastic Partial Differential Equations in Hydrology. In Stochastic Hydrology, edited by I.B. MacNeill and G.J. Umphrey, pages 113-130. D. Reidel Publishing Co., Dordrecht, Holland

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