Technical Papers
Mar 8, 2013

Modeling Subsurface Heterogeneity of Irrigated and Drained Fields. I: Model Development and Testing

Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 10

Abstract

Efficient management of irrigation/drainage systems relies to a large extent on the ability to predict a priori the response of the system to a proposed management plan. However, such numerical prediction of system response (e.g., root-zone hydrosalinity conditions and crop yield) are dependent on several parameters that are spatially and/or temporally variable and are related to soil properties, atmospheric conditions, crop type, and the amount and salinity of water application. This paper presents enhancements to the Colorado State University Irrigation And Drainage (CSUID) model that expand its capacity to fully simulate the dynamics of variably saturated flow and transport in a three-dimensional (3D) variably saturated porous media and to account for spatial and temporal heterogeneity in input parameters. The CSUID model has the ability to simulate irrigation/drainage activities and their impact on the soil and underlying groundwater, as well as on crop yield, taking into account the spatial and temporal variability in available soil moisture, including matric stress, waterlogging, and osmotic stress due to salinity. Having a model with these capabilities is an important step towards understanding the influence of heterogeneous inputs and parameter uncertainty on the design and management of field-scale irrigation/drainage systems. Four benchmark problems are used in this paper to test the CSUID model and the model performs well. In addition, an example is presented to demonstrate model capabilities in representing a 3D time-varying irrigated field with and without subsurface drainage.

Get full access to this article

View all available purchase options and get full access to this article.

References

Alzraiee, A., Garcia, L. A., and Gates, T. K. (2013). “Modeling subsurface heterogeneity of irrigated and drained fields. II: Multivariate stochastic analysis of root-zone hydrosalinity and crop yield.” J. Irrig. Drain. Eng., 139(10), 809–820.
Ayers, R. S., and Westcot, D. W. (1994). “Water quality for agriculture.”, Rome.
Bear, J. (1972). Dynamics of fluids in porous media, Elsevier, New York.
Cardon, G. E., and Letey, J. (1992). “Plant water uptake terms evaluated for soil water and solute movement models.” Soil Sci. Soc. Am. J., 56(6), 1876–1880.
Celia, M. A., and Binning, P. (1992). “A mass conservative numerical solution for two-phase flow in porous media with application to unsaturated flow.” Water Resour. Res., 28(10), 2819–2828.
Clement, T. P., Wise, W. R., and Molz, F. J. (1994). “A physically based, two-dimensional, finite-difference algorithm for modeling variably saturated flow.” J. Hydrol., 161(1–4), 71–90.
Cooley, R. L. (1971). “A finite difference method for unsteady flow in variably saturated porous media: Application to a single pumping well.” Water Resour. Res., 7(6), 1607–1625.
Dam, J. C., et al. (1997). “Theory of SWAP version 2.0. Simulation of water flow, solute transport and plant growth in the soil-water-atmosphere-plant environment.”, Wageningen Univ., Wageningen, Netherlands.
Day, P. R., and Luthin, J. N. (1956). “A numerical solution of the differential equation of flow for a vertical drainage problem.” Soil Sci. Soc. Am. J., 20(4), 443–447.
Doorenbos, J., Plusje, J., Kassam, A., Branscheid, V., and Bentvelsen, C. (1986). “Yield response to water.”, Rome.
Fayer, M. J. (2000). “UNSAT-H version 3.0: Unsaturated soil water and heat flow model. Theory, user manual, and examples.”, Richland, WA.
Feddes, R. A., Kowalik, P., Kolinska-Malinka, K., and Zaradny, H. (1976). “Simulation of field water uptake by plants using a soil water dependent root extraction function.” J. Hydrol., 31(1–2), 13–26.
Flerchinger, G. N., Hanson, C. L., and Wight, J. R. (1996). “Modeling evapotranspiration and surface energy budgets across a watershed.” Water Resour. Res., 32(8), 2539–2548.
Freeze, R. A. (1971). “Three-dimensional, transient, saturated–unsaturated flow in a groundwater basin.” Water Resour. Res., 7(2), 347–366.
Garcia, L. A., Manguerra, H. B., and Gates, T. K. (1995). “Irrigation-drainage design and management model: Development.” J. Irrig. Drain. Eng., 121(1), 71–82.
Ghassemi, F., Jakeman, A. J., and Nix, H. A. (1995). Salinisation of land and water resources: Human causes, extent, management and case studies, Center for Agricultural Bioscience (CAB) International, Wallingford, UK.
Grieve, C. M., Grattan, S. R., and Maas, E. V. (2012). “Plant salt tolerance.” Chapter 13, Agricultural salinity assessment and management, W. W. Wallender and K. K. Tanji, eds., ASCE, Reston, VA.
Hanks, R. J., and Hill, R. W. (1980). Modeling crop responses to irrigation in relation to soils, climate and salinity, International Irrigation Information Center, Bet Dagan, Israel.
Hansen, S., Jensen, H., Nielsen, N., and Svendsen, H. (1990). “DAISY: Soil plant atmosphere system model. Danish simulation model for transformation and transport of energy and matter in the soil plant atmosphere system.” Rep. Prepared for the National Agency for Environmental Protection, Copenhagen, Netherlands.
Harbaugh, A. W., Banta, E. R., Hill, M. C., and McDonald, M. G. (2000). MODFLOW. The U.S. Geological Survey modular ground-water model. User guide to modularization concepts and the ground-water flow process, USGS, Reston, VA.
Hill, M. C. (1990). Preconditioned conjugate-gradient 2 (PCG2), a computer program for solving ground-water flow equations, USGS, Reston, VA.
Hoffman, G. J., Evans, R. G., Jensen, M. E., Martion, D. L., and Elliott, R. L. (2007). Design and operation of farm irrigation systems, 2nd Ed., American Society of Agricultural and Biological Engineering, St. Joseph, MI.
Hopmans, J. W., and Bristow, K. L. (2002). “Current capabilities and future needs of root water and nutrient uptake modeling.” Adv. Agron., 77(1), 103–183.
Jansson, P. E. (2001). “Coupled heat and mass transfer model for soil-plant-atmosphere systems.” Rep. Prepared for the Royal Institute of Technology, Stockholm, Sweden.
Javandel, I. (1984). Groundwater transport: Handbook of mathematical models, American Geophysical Union, Washington, DC.
Kelley, C. T. (1987). Solving nonlinear equations with Newton’s method, Society for Industrial and Applied Mathematics, Philadelphia.
Kirda, C. (2000). “Deficit irrigation practices based on plant growth stages showing water stress tolerance.” Rep. Prepared for the Food and Agriculture Organization of the United Nations, Rome.
Kirkland, M. R., Hills, R. G., and Wierenga, P. J. (1992). “Algorithms for solving Richards’ equation for variably saturated soils.” Water Resour. Res., 28(8), 2049–2058.
Manguerra, H. B., and Garcia, L. A. (1995). “Irrigation-drainage design and management model: Validation and application.” J. Irrig. Drain. Eng., 121(1), 83–94.
McDonald, M. G., and Harbaugh, A. W. (1984). A modular three-dimensional finite-difference ground-water flow model, Scientific Publications, Los Angeles.
Molz, F. J. (1981). “Models of water transport in the soil-plant system: A review.” Water Resour. Res., 17(5), 1245–1260.
Neuman, S. P. (1981). “A Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids.” J. Comput. Phys., 41(2), 270–294.
Paniconi, C., and Putti, M. (1994). “A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems.” Water Resour. Res., 30(12), 3357–3374.
Postel, S. (1989). “Water for agriculture: Facing the limits.”, Washington, DC.
Pruess, K. (1991). “TOUGH2: A general-purpose numerical simulator for multiphase fluid and heat flow.” Rep. Prepared for Lawrence Berkeley National Laboratory, Berkeley, CA.
Refshaard, J., Storm, B., and Singh, V. (1995). “MIKE SHE.” Computer models of watershed hydrology, Center for Agricultural Bioscience (CAB) International, Wallingford, UK, 809–846.
Richards, L. A. (1931). “Capillary conduction of liquids through porous mediums.” Physics, 1(5), 318–333.
Rubin, J. (1968). “Theoretical analysis of two-dimensional, transient flow of water in unsaturated and partly unsaturated soils.” Soil Sci. Soc. Am. J., 32(5), 607–615.
Russo, D., Jury, W. A., and Butters, G. L. (1989). “Numerical analysis of solute transport during transient irrigation: 1. The effect of hysteresis and profile heterogeneity.” Water Resour. Res., 25(10), 2109–2118.
Saad, Y. (2003). Iterative methods for sparse linear systems, 2nd Ed., Society for Industrial and Applied Mathematics, Philadelphia.
Schnepf, R. (2010). Agriculture-based biofuels: Overview and emerging issues, Diane Publishing, Collingdale, PA.
Simunek, J., Sejna, M., and van Genuchten, M. T. (1998). “The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media. Version 2.0.”, Colorado School of Mines, Golden, CO.
Simunek, J., van Genuchten, M. T., and Sejna, M. (2005). “The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media.” Research Rep. Prepared for the Univ. of California, Riverside, CA.
Suarez, D. L. (2012). “Modeling transient rootzone salinity (SWS model).” Chapter 28, Agricultural salinity assessment and management, W. W. Wallender and K. K. Tanji, eds., ASCE, Reston, VA.
Suarez, D. L., and Simunek, J. (1997). “UNSATCHEM: Unsaturated water and solute transport model with equilibrium and kinetic chemistry.” Soil Sci. Soc. Am. J., 61(6), 1633–1646.
Thoms, R. B., Johnson, R. L., and Healy, R. W. (2006). User’s guide to the variably saturated flow (VSF) process for MODFLOW, USGS, Reston, VA.
Umali, D. L., and Umali-Deininger, D. (1993). “Irrigation-induced salinity: A growing problem for development and the environment.”, World Bank, Washington, DC.
van Genuchten, M. T. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.
van Genuchten, M. T. (1987). “A numerical model for water and solute movement in and below the root zone.” Rep. Prepared for the USDA, Washington, DC.
Vanderborght, J., et al. (2005). “A set of analytical benchmarks to test numerical models of flow and transport in soils.” Vadose Zone J., 4(1), 206–221.
Vauclin, M., Khanji, D., and Vachaud, G. (1979). “Experimental and numerical study of a transient, two-dimensional unsaturated-saturated water table recharge problem.” Water Resour. Res., 15(5), 1089–1101.
Wallender, W. W., and Tanji, K. K. (2012). Agricultural salinity assessment and management, 2nd Ed., ASCE, Reston, VA.
Wang, Z., Feyen, J., van Genuchten, M. T., and Nielsen, D. R. (1998). “Air entrapment effects on infiltration rate and flow instability.” Water Resour. Res., 34(2), 213–222.
Wichelns, D. (1999). “An economic model of waterlogging and salinization in arid regions.” Ecol. Econ., 30(3), 475–491.
Yeh, G. (1987). “FEMWATER: A finite element model of water flow through saturated-unsaturated porous media: First revision.” Rep. Prepared for Oak Ridge National Laboratory, Oak Ridge, TN.
Zheng, C., and Bennett, G. D. (2002). Applied contaminant transport modeling, 2nd Ed., Wiley, New York.
Zheng, C., and Wang, P. (1999). “MT3DMS: A modular three-dimensional multispecies transport model for simulation of advection, dispersion, and chemical reactions of contaminants in groundwater systems. Documentation and user’s guide.” Rep. Prepared for the U.S. Army Corps of Engineers, Washington, DC.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 139Issue 10October 2013
Pages: 797 - 808

History

Received: Aug 6, 2012
Accepted: Feb 25, 2013
Published online: Mar 8, 2013
Discussion open until: Aug 8, 2013
Published in print: Oct 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Ayman H. Alzraiee [email protected]
Postdoctoral Fellow, Dept. of Civil and Environmental Engineering (1372), Colorado State Univ., Fort Collins, CO 80523 (corresponding author). E-mail: [email protected]
Luis A. Garcia [email protected]
M.ASCE
Director, Integrated Decision Support Group; and Professor, Dept. of Civil and Environmental Engineering (1372), Colorado State Univ., Fort Collins, CO 80523. E-mail: [email protected]
Timothy K. Gates [email protected]
M.ASCE
Professor, Dept. of Civil and Environmental Engineering (1372), Colorado State Univ., Fort Collins, CO 80523. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share