Abstract

A two-stage physically-based detention model has been developed for green roof systems. Vertical flow in the substrate is represented by the Richards equation, and horizontal flow in the underlying drainage layer is modeled by the Saint Venant equation. This two-stage physically-based model (2SPB) and the stormwater management model (SWMM) green roof low impact development control model (SWMM-GR) were validated using measured runoff profiles from two contrasting green roof systems: a conventional green roof system; and an innovative system intended to enhance detention. The substrate and drainage layer model parameters were identified from independent physical tests. The 2SPB model provides a reasonable estimation of runoff profiles from a conventional green roof system. However, the model is not capable of representing the flow conditions in the innovative green roof system’s detention layer, such that model results were less accurate for this system compared with the conventional green roof system. SWMM-GR model results for the conventional system were less representative of its overall detention performance due to the assumptions inherent in the substrate percolation model.

Get full access to this article

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

Data Availability Statement

The experimental data for the conventional green roof system and the code for the physically-based model are available in a repository or online in accordance with funder data retention policies (https://doi.org/10.15131/shef.data.16583852). The experimental data from the innovative green roof system were provided by a third party (Green Roof Diagnostics). Direct requests for these materials may be made to the provider as indicated in the Acknowledgments.

Acknowledgments

Zhangjie Peng is supported by the University of Sheffield, Faculty of Engineering Doctoral Academy Award. The authors would like to thank Dr. Gianni Vesuviano for the detention test data with the FD-25 drainage layer and the conventional green roof system. The authors would also like to thank Derek Hidalgo and Scott Jeffers at Green Roof Diagnostics for their contributions in obtaining and analyzing the experimental data from the innovative green roof system.

References

Berghage, R. D., B. David, A. R. Jarrett, C. Thuring, and F. Razaei. 2009. Green roofs for stormwater runoff control. Cincinnati: USEPA.
Burszta-Adamiak, E., and M. Mrowiec. 2013. “Modelling of green roofs’ hydrologic performance using EPA’s SWMM.” Water Sci. Technol. 68 (1): 36. https://doi.org/10.2166/wst.2013.219.
Chow, V. T. 1959. Open-channel hydraulics. New York: McGraw-Hill.
Durner, W. 1994. “Hydraulic conductivity estimation for soils with heterogeneous pore structure.” Water Resour. Res. 30 (2): 211–223. https://doi.org/10.1029/93WR02676.
Fassman, E., and R. Simcock. 2012. “Moisture measurements as performance criteria for extensive living roof substrates.” J. Environ. Eng. 138 (8): 841–851. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000532.
Fassman-Beck, E., E. Voyde, R. Simcock, and Y. S. Hong. 2013. “4 Living roofs in 3 locations: Does configuration affect runoff mitigation?” J. Hydrol. 490 (May): 11–20. https://doi.org/10.1016/j.jhydrol.2013.03.004.
FLL (Forschungsgesellschaft Landschaftsentwicklung Landschaftsbau). 2008. Guidelines for the planning, construction and maintenance of green roofing. Bonn, Germany: FLL.
Hilten, R. N., T. M. Lawrence, and E. W. Tollner. 2008. “Modeling stormwater runoff from green roofs with HYDRUS-1D.” J. Hydrol. 358 (3–4): 288–293.
Johannessen, B. G., V. Hamouz, A. S. Gragne, and T. M. Muthanna. 2019. “The transferability of SWMM model parameters between green roofs with similar build-up.” J. Hydrol. 569 (Feb): 816–828. https://doi.org/10.1016/j.jhydrol.2019.01.004.
Kasmin, H., V. R. Stovin, and E. A. Hathway. 2010. “Towards a generic rainfall-runoff model for green roofs.” Water Sci. Technol. 62 (4): 898. https://doi.org/10.2166/wst.2010.352.
Liu, R., and E. Fassman-Beck. 2017. “Hydrologic response of engineered media in living roofs and bioretention to large rainfalls: Experiments and modeling.” Hydrol. Processes 31 (3): 556–572. https://doi.org/10.1002/hyp.11044.
Liu, R., and E. Fassman-Beck. 2018. “Pore structure and unsaturated hydraulic conductivity of engineered media for living roofs and bioretention based on water retention data.” J. Hydrol. Eng. 23 (3): 04017065. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001621.
MathWorks. 2021. “Solving partial differential equations.” Accessed November 28, 2021. https://uk.mathworks.com/help/matlab/math/partial-differential-equations.html.
NERC (Natural Environment Research Council). 1975. Flood studies report. London: NERC.
Palermo, S. A., M. Turco, F. Principato, and P. Piro. 2019. “Hydrological effectiveness of an extensive green roof in Mediterranean climate.” Water 11 (7): 1378.
Palla, A., and I. Gnecco. 2015. “Hydrologic modeling of low impact development systems at the urban catchment scale.” J. Hydrol. 528 (Sep): 361–368. https://doi.org/10.1016/j.jhydrol.2015.06.050.
Palla, A., I. Gnecco, and L. G. Lanza. 2009. “Unsaturated 2D modelling of subsurface water flow in the coarse-grained porous matrix of a green roof.” J. Hydrol. 379 (1–2): 193–204. https://doi.org/10.1016/j.jhydrol.2009.10.008.
Peng, Z., C. Smith, and V. Stovin. 2019. “Internal fluctuations in green roof substrate moisture content during storm events: Monitored data and model simulations.” J. Hydrol. 573 (Jun): 872–884. https://doi.org/10.1016/j.jhydrol.2019.04.008.
Peng, Z., C. Smith, and V. Stovin. 2020. “The importance of unsaturated hydraulic conductivity measurements for green roof detention modelling.” J. Hydrol. 590 (Nov): 125273. https://doi.org/10.1016/j.jhydrol.2020.125273.
Peng, Z., and V. Stovin. 2017. “Independent validation of the SWMM green roof module.” J. Hydrol. Eng. 22 (9): 04017037. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001558.
Peng, Z., G. Vesuviano, and V. Stovin. 2021. “Experimental data for the detention tests with the conventional green roof system and the code for the physically-based model.” Accessed September 8, 2021. https://figshare.com/s/ac574167eb0494ce37f7.
Poë, S., V. Stovin, and C. Berretta. 2015. “Parameters influencing the regeneration of a green roof’s retention capacity via evapotranspiration.” J. Hydrol. 523 (Apr): 356–367. https://doi.org/10.1016/j.jhydrol.2015.02.002.
Purple-Roof. 2020. “Green roof detention.” Accessed November 28, 2021. https://www.purple-roof.com/.
Rossman, L. A., and W. C. Huber. 2016. Storm water management model reference manual Volume III—Water quality. Cincinnati: USEPA.
Saxton, K. E., and W. J. Rawls. 2006. “Soil water characteristic estimates by texture and organic matter for hydrologic solutions.” Soil Sci. Soc. Am. J. 70 (5): 1569–1578. https://doi.org/10.2136/sssaj2005.0117.
Skeel, R. D., and M. Berzins. 1990. “A method for the spatial discretization of parabolic equations in one space variable.” SIAM J. Sci. Stat. Comput. 11 (1): 1–32. https://doi.org/10.1137/0911001.
Sonnenwald, F., V. Stovin, and I. Guymer. 2014. “Configuring maximum entropy deconvolution for the identification of residence time distributions in solute transport applications.” J. Hydrol. Eng. 19 (7): 1413–1421. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000929.
Stovin, V., S. Poë, and C. Berretta. 2013. “A modelling study of long term green roof retention performance.” J. Environ. Manage. 131 (Dec): 206–215. https://doi.org/10.1016/j.jenvman.2013.09.026.
Stovin, V., S. Poë, S. De-Ville, and C. Berretta. 2015. “The influence of substrate and vegetation configuration on green roof hydrological performance.” Ecol. Eng. 85 (Dec): 159–172. https://doi.org/10.1016/j.ecoleng.2015.09.076.
Stovin, V., G. Vesuviano, and S. De-Ville. 2017. “Defining green roof detention performance.” Urban Water J. 14 (6): 574–588. https://doi.org/10.1080/1573062X.2015.1049279.
Stovin, V., G. Vesuviano, and H. Kasmin. 2012. “The hydrological performance of a green roof test bed under UK climatic conditions.” J. Hydrol. 414–415 (Jan): 148–161. https://doi.org/10.1016/j.jhydrol.2011.10.022.
Vesuviano, G., F. Sonnenwald, and V. Stovin. 2014. “A two-stage storage routing model for green roof runoff detention.” Water Sci. Technol. 69 (6): 1191. https://doi.org/10.2166/wst.2013.808.
Vesuviano, G., and V. Stovin. 2013. “A generic hydrological model for a green roof drainage layer.” Water Sci. Technol. 68 (4): 769. https://doi.org/10.2166/wst.2013.294.
Vesuviano, G. M. 2014. A two-stage runoff detention model for a green roof. Sheffield, England: Univ. of Sheffield.
Villarreal, E. L., and L. Bengtsson. 2005. “Response of a Sedum green-roof to individual rain events.” Ecol. Eng. 25 (1): 1–7.
Voyde, E., E. Fassman, and R. Simcock. 2010a. “Hydrology of an extensive living roof under sub-tropical climate conditions in Auckland, New Zealand.” J. Hydrol. 394 (3–4): 384–395.
Voyde, E., E. Fassman, R. Simcock, and J. Wells. 2010b. “Quantifying evapotranspiration rates for New Zealand green roofs.” J. Hydrol. Eng. 15 (6): 395–403. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000141.
Yio, M. H. N., V. Stovin, J. Werdin, and G. Vesuviano. 2013. “Experimental analysis of green roof substrate detention characteristics.” Water Sci. Technol. 68 (7): 1477–1486. https://doi.org/10.2166/wst.2013.381.
Young, P., A. Jakeman, and R. McMurtrie. 1980. “An instrumental variable method for model order identification.” Automatica 16 (3): 281–294. https://doi.org/10.1016/0005-1098(80)90037-0.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 27Issue 2February 2022

History

Received: Mar 4, 2021
Accepted: Oct 29, 2021
Published online: Dec 14, 2021
Published in print: Feb 1, 2022
Discussion open until: May 14, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Dept. of Civil and Structural Engineering, Univ. of Sheffield, Mappin St., Sheffield S1 3JD, UK (corresponding author). ORCID: https://orcid.org/0000-0003-3918-4479. Email: [email protected]
CEO, Green Roof Diagnostics, 17416 Germanna Hwy., Culpeper, VA 22701. ORCID: https://orcid.org/0000-0003-3595-8318. Email: [email protected]
Professor, Dept. of Civil and Structural Engineering, Univ. of Sheffield, Mappin St., Sheffield S1 3JD, UK. ORCID: https://orcid.org/0000-0001-9444-5251. Email: [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

  • Experimental investigation of a multilayer detention roof for stormwater management, Journal of Cleaner Production, 10.1016/j.jclepro.2023.136413, 395, (136413), (2023).

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