Technical Papers
May 19, 2017

New Model for Simulating Hydraulic Performance of an Infiltration Trench with Finite-Volume One-Dimensional Richards’ Equation

Publication: Journal of Irrigation and Drainage Engineering
Volume 143, Issue 8

Abstract

Infiltration trench is one of the best stormwater management practices to control excessive runoff volume in urban areas. Most of the methods or models employed for designing an infiltration trench are either very simplified which leads to unreliable results or suffer from inconsistency of using one equation in variably saturated soil. Therefore, in this paper, the authors have developed a new one-dimensional infiltration trench model based on Richards’ equation for modeling flow movement in variably saturated soil, coupled with a surface water balance equation as the upper boundary condition, using implicit finite-volume method. The proposed model allows for periodical ponding in the storage, interaction between storage and subsoil, and flow movement in variably saturated soil beneath the storage. The model was run under different scenarios and tested against several experimental and analytical test cases. The obtained numerical results were mass balanced and exhibited accurate simulation of the flow movement in unsaturated soil as well as ponded infiltration in a saturated controlled experimental trench.

Get full access to this article

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

Acknowledgments

The authors are grateful to the anonymous reviewers for their careful review and many useful suggestions.

References

Argue, J., and Pezzaniti, D. (2003). “Infiltration systems.” Australian runoff quality, T. H. F. Wong, ed., Institution of Engineering Australia, Sydney, Australia.
Berg, P. (1999). “Long-term simulation of water movement in soils using mass-conserving procedures.” Adv. Water Resour., 22(5), 419–430.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Colorado State Univ., Fort Collins, CO.
Browne, D., Deletic, A., Mudd, G. M., and Fletcher, T. D. (2008). “A new saturated/unsaturated model for stormwater infiltration systems.” Hydrol. Processes, 22(25), 4838–4849.
Browne, D., Deletic, A., Mudd, G. M., and Fletcher, T. D. (2013). “A two-dimensional model of hydraulic performance of stormwater infiltration systems.” Hydrol. Processes, 27(19), 2785–2799.
Caviedes-Voullième, D., García-Navarro, P., and Murillo, J. (2013). “Verification, conservation, stability and efficiency of a finite volume method for the 1D Richards equation.” J. Hydrol., 480, 69–84.
Celia, M., Bouloutas, E., and Zarba, R. (1990). “A general mass-conservative numerical solution for the unsaturated flow equation.” Water Resour. Res., 26(7), 1483–1496.
Chahar, B., Graillot, D., and Gaur, S. (2012). “Storm-water management through infiltration trenches.” J. Irrig. Drain. Eng., 274–281.
Dechesne, M., Barraud, S., and Bardin, J.-P. (2004). “Indicators for hydraulic and pollution retention assessment of stormwater infiltration basins.” J. Environ. Manage., 71(4), 371–380.
Elliott, A. H., and Trowsdale, S. A. (2007). “A review of models for low impact urban stormwater drainage.” Environ. Modell. Software, 22(3), 394–405.
Eymard, R., Gallouet, T., and Herbin, R (2000). “Finite volume methods.” Amsterdam, Netherlands, 713–1020.
Eymard, R., Gutnic, M., and Hilhorst, D. (1999). “The finite volume method for Richards equation.” Comput. Geosci., 3(3–4), 259–294.
Farthing, M. W., and Miller, C. T. (2000). “A comparison of high-resolution, finite-volume, adaptive-stencil schemes for simulating advective-dispersive transport.” Adv. Water Resour., 24(1), 29–48.
Goonetilleke, A., Thomas, E., Ginn, S., and Gilbert, D. (2005). “Understanding the role of land use in urban stormwater quality management.” J. Environ. Manage., 74(1), 31–42.
Haverkamp, R., Vauclin, M., Touma, J., Wierenga, P. J., and Vachaud, G. (1977). “A comparison of numerical simulation models for one-dimensional infiltration.” Soil Sci. Soc. Am. J., 41(2), 285–294.
Kirby, A. (2005). “SuDS: Innovation or a tried and tested practice?” Proc. ICE. Munic. Eng., 158(2), 115–122.
Kores, J. G., and Dam, J. C. V. (2003). Reference manual: SWAP version 3.0.3, Alterra, Wageningen, Netherland.
Krahn, J. (2004). “Seepage modeling with SEEP/W.” GEO-SLOPE International, Calgary, AB, Canada.
Kuo, C. Y., Zhu, J. L., and Dollard, L. A. (1989). “A study of infiltration trenches.”, Virginia Water Resources Research Center, Virginia Polytechnic Institute and State Univ., Blackburg, VA.
Manzini, G., and Ferraris, S. (2004). “Mass-conservative finite volume methods on 2-d unstructured grids for the Richards’ equation.” Adv. Water Resour., 27(12), 1199–1215.
Martin, C., Ruperd, Y., and Legret, M. (2007). “Urban stormwater drainage management: The development of a multicriteria decision aid approach for best management practices.” Eur. J. Oper. Res., 181(1), 338–349.
MATLAB 7.10 [Computer software]. MathWorks, Natick, MA.
Miller, C. T., Williams, G. A., Kelley, C. T., and Tocci, M. D. (1998). “Robust solution of Richards’ equation for nonuniform porous media.” Water Resour. Res., 34(10), 2599–2610.
Misiats, O., and Lipnikov, K. (2013). “Second-order accurate monotone finite volume scheme for Richards’ equation.” J. Comput. Phys., 239, 123–137.
Moreira, M., and Marreiros, M. (2004). “Design consideration for infiltration trench applied to small village.” Proc., Hydrology: Science and Practice for the 21st Century, London, 298–305.
Mualem, Y. (1976). “A new model for predicting the hydraulic conductivity of unsaturated porous media.” Water Resour. Res., 12(3), 513–522.
Phoon, K.-K., Tan, T.-S., and Chong, P.-C. (2007). “Numerical simulation of Richards equation in partially saturated porous media: Under-relaxation and mass balance.” Geotech. Geol. Eng., 25(5), 525–541.
Richards, L. A. (1931). “Capillary conduction of liquids through porous mediums.” Physics, 1(5), 318–333.
Sadegh Zadeh, K. (2011). “A mass-conservative switching algorithm for modeling fluid flow in variably saturated porous media.” J. Comput. Phys., 230(3), 664–679.
Schlüter, W., and Jefferies, C. (2002). “Modelling the outflow from a porous pavement.” Urban Water, 4(3), 245–253.
Scholz, M. (2006). “Decision-support tools for sustainable drainage.” Proc. ICE. Eng. Sustainability, 159(3), 117–125.
Simunek, J., Sejna, M., and Van Genuchten, M. T. (1999). “The HYDRUS-2D software package for simulating the two-dimensional movement of water, heat, and multiple solutes in variably-saturated media.” U.S. Salinity Laboratory Agricultural Research Service, UDA, Riverside, CA.
Siriwardene, N. R., Deletic, A., and Fletcher, T. D. (2007). “Clogging of stormwater gravel infiltration systems and filters: Insights from a laboratory study.” Water Res., 41(7), 1433–1440.
Szymkiewicz, A., and Helmig, R. (2011). “Comparison of conductivity averaging methods for one-dimensional unsaturated flow in layered soils.” Adv. Water Resour., 34(8), 1012–1025.
van Dam, J. C., and Feddes, R. A. (2000). “Numerical simulation of infiltration, evaporation and shallow groundwater levels with the Richards equation.” J. Hydrol., 233(1–4), 72–85.
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.
Warrick, A. W., Lomen, D. O., and Yates, S. R. (1985). “A generalized solution to infiltration.” Soil Sci. Soc. Am. J., 49(1), 34–38.
Zadeh, K. S., Shirmohammadi, A., Montas, H. J., and Felton, G. (2007). “Evaluation of infiltration models in contaminated landscape.” J. Environ. Sci. Health, Part A, 42(7), 983–988.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 143Issue 8August 2017

History

Received: Aug 4, 2015
Accepted: Nov 17, 2016
Published online: May 19, 2017
Published in print: Aug 1, 2017
Discussion open until: Oct 19, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Gelareh Farahi
Ph.D. Student, Dept. of Water Engineering, Ferdowsi Univ. of Mashhad, 9177948974 Mashhad, Iran.
Saeed Reza Khodashenas [email protected]
Professor, Dept. of Water Engineering, Ferdowsi Univ. of Mashhad, 9177948974 Mashhad, Iran (corresponding author). E-mail: [email protected]
Amin Alizadeh
Professor, Dept. of Water Engineering, Ferdowsi Univ. of Mashhad, 9177948974 Mashhad, Iran.
Ali Naghi Ziaei
Assistant Professor, Dept. of Water Engineering, Ferdowsi Univ. of Mashhad, 9177948974 Mashhad, Iran.

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