Technical Papers
Jul 24, 2019

Physical Model of Hydrological Behavior of Permeable Pavements Using FlexPDE

Publication: Journal of Hydrologic Engineering
Volume 24, Issue 10

Abstract

The increase of urbanization combined with the increase in impervious surfaces has led to an increasing frequency of flooding events in urban catchments. This context highlights the inadequacy of traditional urban drainage systems and the need for alternative solutions. Permeable pavements have proven to be a valuable low-impact development (LID) technique. They are able to retain surface runoff volumes by increasing the infiltration and evaporation processes. Even though their benefits are well known, the lack of adequate modeling tools limits their adoption. This paper presents the development of a physically based model to describe their hydrological behavior. The particularity of this partial differential equation (PDE) model is to base the parameter estimations on basic measurements. The model is calibrated and validated using measurements from a laboratory permeable pavement rig. Results demonstrate a high reliability of the model with a Nash—Sutcliffe model efficiency (NSE) value of 0.969 and 0.891, respectively, for calibration and validation. Finally, a sensitivity analysis was conducted and highlighted the influence of the hydraulic conductivity of the base layer on the performance of the structure.

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Acknowledgments

The authors would like to thanks the Normandy Regional Council for the funding provided. They also would like to thank Mr. Adam, Mr. Bouget, Mr. Chavane, Mr. Dubois, and Miss Ntsamendo for their precious help in obtaining the experimental measurements.

References

Aubertin, M., M. Mbonimpa, B. Bussière, and R. P. Chapuis. 2003. “A model to predict the water retention curve from basic geotechnical properties.” Can. Geotech. J. 40 (6): 1104–1122. https://doi.org/10.1139/t03-054.
Berthier, E. 1999. “Contribution a une modelisation hydrologique a base physique en milieu urbain: elaboration du modele et premiere evaluation” [Contribution to a physically base hydrological modeling: Model construction and first evaluation]. Ph.D. thesis, Dept. of Civil Engineering, INPG Grenoble.
Brattebo, B. O., and D. B. Booth. 2003. “Long-term stormwater quantity and quality performance of permeable pavement systems.” Water Res. 37 (18): 4369–4376. https://doi.org/10.1016/S0043-1354(03)00410-X.
Brunetti, G., J. Šimůnek, and P. Piro. 2016. “A comprehensive numerical analysis of the hydraulic behavior of a permeable pavement.” J. Hydrol. 540: 1146–1161. https://doi.org/10.1016/j.jhydrol.2016.07.030.
Camporese, M., J. F. Dean, P. E. Dresel, J. Webb, and E. Daly. 2013. “Hydrological modelling of paired catchments with competing land uses.” In Proc, 20th Int. Congress on Modelling, 1819–1825. Adelaide, Australia: Modelling and Simulation Society of Australia and New Zealand.
Carbone, M., M. Turco, G. Brunetti, and P. Piro. 2015. “A cumulative rainfall function for subhourly design storm in Mediterranean urban areas.” Adv. Meteorol. 2015: 1–10. https://doi.org/10.1155/2015/528564.
Carsel, R. F., and R. S. Parrish. 1988. “Developing joint probability distributions of soil water retention characteristics.” Water Resour. Res. 24 (5): 755–769. https://doi.org/10.1029/WR024i005p00755.
Cartelon, G. B. 2010. Simulation of groundwater mounding beneath hypothetical stormwater infiltration basins. Reston, VA: USGS.
Dakhlaoui, M. 1996. “Fonctionnement hydraulique des structures réservoirs pour l’assainissement pluvial: étude des dispositifs de diffusion d’eau et modélisation du couple drain-milieu poreux” [Hydraulics processes of permeable pavement for rain water drainage: Study of water diffusion and modeling of drain-media interactions]. Ph.D. thesis, Dept. of Civil Engineering, Ecole nationale des Ponts et Chaussées.
Elliott, A. H., and S. A. Trowsdale. 2007. “A review of models for low impact urban stormwater drainage.” Environ. Modell. Software 22 (3): 394–405. https://doi.org/10.1016/j.envsoft.2005.12.005.
Ghanbarian-Alavijeh, B., A. Liaghat, G.-H. Huang, and T. van Genuchten. 2010. “Estimation of the van Genuchten soil water retention properties from soil textural data.” Pedosphere 20 (4): 456–465. https://doi.org/10.1016/S1002-0160(10)60035-5.
Haase, D. 2009. “Effects of urbanisation on the water balance: A long-term trajectory.” Environ. Impact Assess. Rev. 29 (4): 211–219. https://doi.org/10.1016/j.eiar.2009.01.002.
ICUD (International Conference on Urban Drainage). 2017. “Triannual series of conferences.” In Proc., 14th IWA/IAHR Int. Conf. on Urban Drainage Conf. Prague, Czech Republic: C-IN.
Illgen, M., K. Harting, T. G. Schmitt, and A. Welker. 2007. “Runoff and Infiltration characteristics of permeable pavements: Review of an intensive monitoring program.” In Proc., Novatech 2007. Lyon, France: GRAIE.
Jha, A. K., R. Bloch, and J. Lamond. 2012. Cities and flooding: A guide to integrated urban flood risk management for the 21st century. Washington, DC: World Bank.
Kovacs, G. 1981. Seepage hydraulics: Developments in water science. 1st ed. Amsterdam, Netherlands: Elsevier.
Liu, Y. 2005. “Three dimensional finite element modeling of pavement subsurface drainage systems.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Kentucky.
Londra, P., and G. Kargas. 2018. “Evaluation of hydrodynamic characteristics of porous media from one-step outflow experiments using RETC code.” J. Hydroinf. 20 (3): 699–707. https://doi.org/10.2166/hydro.2018.148.
Miller, J. D., H. Kim, T. R. Kjeldsen, J. Packman, S. Grebby, and R. Dearden. 2014. “Assessing the impact of urbanization on storm runoff in a peri-urban catchment using historical change in impervious cover.” J. Hydrol. 515: 59–70. https://doi.org/10.1016/j.jhydrol.2014.04.011.
Monrose, J. 2017. “Hydrologic performance of permeable pavement systems utilising various sub-base material for Caribbean application.” In Proc., 14th Int. Conf. on Urban Drainage, 1147–1154. Prague, Czech Republic: International Water Association/International Association of Hydraulic Engineering and Research.
Moriasi, D. N., J. G. Arnold, M. W. Van Liew, R. L. Bingner, R. D. Harmel, and T. L. Veith. 2007. “Model evaluation guidelines for systematic quantification of accuracy in watershed simulations.” Trans. ASABE 50 (3): 885–900. https://doi.org/10.13031/2013.23153.
Nash, J. E., and J. V. Sutcliffe. 1970. “River flow forecasting through conceptual models. Part I: A discussion of principles.” J. Hydrol. 10 (3): 282–290. https://doi.org/10.1016/0022-1694(70)90255-6.
Nguyen, D. H. 2014. “Etude du comportement hydromécanique des bétons drainants à base de coproduits coquilliers” [Study of the hydromechanical behavior of pervious cocrete using seashell by-products]. Ph.D. thesis, Dept. of Civil Engineering, Université de Caen Basse-Normandie.
Nguyen, D. H., M. Boutouil, N. Sebaibi, L. Leleyter, and F. Baraud. 2013. “Valorization of seashell by-products in pervious concrete pavers.” Constr. Build. Mater. 49: 151–160. https://doi.org/10.1016/j.conbuildmat.2013.08.017.
OECD (Organisation for Economic Co-operation and Development). 2013. Water and climate change adaptation: OECD studies on water. Paris: OECD Publishing.
Petrucci, G. 2012. “La diffusion du contrôle à la source des eaux pluviales urbaines: confrontation des pratiques à la rationalité hydrologique” [The diffusion of source control for urban stormwater management: A comparison between the current practices and the hydrological rationality]. Ph.D. thesis, Dept. of Urban Planning, Paris Est.
United Nations Department of Economics and Social Affairs, Population Division. 2014. World urbanization prospects: The 2014 revision, highlights. New York: United Nations Dept. of Economics and Social Affairs.
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. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Yin, J., D. Yu, Z. Yin, M. Liu, and Q. He. 2016. “Evaluating the impact and risk of pluvial flash flood on intra-urban road network: A case study in the city center of Shanghai, China.” J. Hydrol. 537: 138–145. https://doi.org/10.1016/j.jhydrol.2016.03.037.
Zhou, Q. 2014. “A review of sustainable urban drainage systems considering the climate change and urbanization impacts.” Water 6 (4): 976–992. https://doi.org/10.3390/w6040976.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 24Issue 10October 2019

History

Received: Jun 25, 2018
Accepted: Apr 24, 2019
Published online: Jul 24, 2019
Published in print: Oct 1, 2019
Discussion open until: Dec 24, 2019

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Authors

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Communauté d’universités et d’établissements Normandie Université–Ecole Supérieure d’Ingénieurs des Travaux de la Construction, 1, Rue Pierre et Marie Curie, Epron F-14610, France (corresponding author). ORCID: https://orcid.org/0000-0003-4038-8495. Email: [email protected]
M. Boutouil, Ph.D.
Director, Communauté d’universités et d’établissements Normandie Université–Ecole Supérieure d’Ingénieurs des Travaux de la Construction, 1, Rue Pierre et Marie Curie, Epron F-14610, France.
O. Maquaire, Ph.D.
Professor, Centre National de Recherche Scientifique, Littoral, Environnement, Géomatique, Télédétection, Université de Caen Normandie, Caen 14000, France.

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