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Brian L. Taylor, P.E., and Drew A. Gangnes, P.E. - Green Roofs for ...

Brian L. Taylor, P.E., and Drew A. Gangnes, P.E. - Green Roofs for ...

Brian L. Taylor, P.E., and Drew A. Gangnes, P.E. - Green Roofs for ...

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10. Liptan, T., City of Portl<strong>and</strong>, telephone conversation on March 9, 2004.11. Miller, Charlie, Moisture Management in <strong>Green</strong> <strong>Roofs</strong>, Proceedings of <strong>Green</strong>ing Rooftops <strong>for</strong>Sustainable Communities: Chicago 2003.12. Gregory, M., Cunningham, B., Schmidt, M., <strong>and</strong> Mack, B., Estimating Soil Storage Capacity <strong>for</strong>Stormwater Modeling Applications, 6th Biennial Stormwater Research <strong>and</strong> Watershed ManagementConference, September 14-17, Tampa, Florida, 1999.13. United States Department of Agriculture, Soil Conservation Service, TR55: Urban Hydrology <strong>for</strong>Small Watersheds, Second Edition, 1986.14. United States Department of Agriculture, Soil Conservation Service, National EngineeringH<strong>and</strong>book, Section 4 “Hydrology,” 1985.15. United States Department of Agriculture, Soil Conservation Service, TR-20 Hydrology TechnicalNote 2, “Chapter 1: The Modified Att-Kin Routing Model,” 1986.16. Magnusson Klemencic Associates, “Model Calibration <strong>and</strong> Validation using Portl<strong>and</strong> Eco-roofMonitoring Data,” unpublished draft technical memor<strong>and</strong>um, March 2004.17. Magnusson Klemencic Associates, “Identifying Antecedent Moisture Inherent in Western WashingtonCurve Numbers,” unpublished draft technical memor<strong>and</strong>um, March 2004.18. Zimmer, U., <strong>and</strong> Geiger, W.F., Model <strong>for</strong> the Design of Multi-layered Infiltration Systems, Wat. Sci.Tech., Vol. 35, No. 8-9, pp. 301, 1997.19. Cedergren, H., Seepage, Drainage, <strong>and</strong> Flow Nets, John Wiley & Sons, 1989.20. Magnusson Klemencic Associates, “Case Studies <strong>for</strong> Offsetting Underground Detention Costs byusing Rooftop Runoff Management Practices,” unpublished draft technical memor<strong>and</strong>um, March 2004.TECHNICAL APPENDIXTHEORETICAL ATT-KIN STORAGE COEFFICIENT FOR ECO-ROOFSBased on the derivation of the routing coefficient used in the SBUH model (15), <strong>and</strong> published literatureabout drained porous media (18, 19), a storage coefficient <strong>for</strong> eco-roofs can be derived. Specific unitconversions are omitted in the equations below, instead generic length [L] <strong>and</strong> time [T] dimensions areshown.From the original Att-Kin routing method derivation (15), the storage coefficient (K) is defined to be therelationship between the storage (S) <strong>and</strong> discharge (O) <strong>for</strong> a basin:(Eqn. A1) S = K*O [L3]Method <strong>for</strong> Quantifying Runoff Reduction of <strong>Green</strong> <strong>Roofs</strong><strong>Brian</strong> L. <strong>Taylor</strong>, P.E., <strong>and</strong> <strong>Drew</strong> A. <strong>Gangnes</strong>, P.E.10

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