Impacts of small scale rainfall variability in urban areas: a case study with 1D and 1D/2D hydrological models in a multifractal framework

Urban Water Journal

Volumn 12, Issue 8, 2015, Pages 607-617

  Gires, Auguste ^a   Giangola Murzyn, Agathe ^a   Abbes, Jean Baptiste ^a   Tchiguirinskaia, Ioulia ^a   Schertzer, Daniel ^a   Lovejoy, Shaun ^b  

^a Universite Paris Est   (France)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

1D 2D modelling; multifractals; rainfall variability; space time downscaling

Indexed keywords

DOWNSCALING; ENSEMBLE FORECASTING; FRACTAL ANALYSIS; HYDROLOGICAL MODELING; ONE-DIMENSIONAL MODELING; PRECIPITATION INTENSITY; RAINFALL; TWO-DIMENSIONAL MODELING; URBAN AREA; WEATHER FORECASTING;

EID: 84941174907     PISSN: 1573062X     EISSN: 17449006     Source Type: Journal    
DOI: 10.1080/1573062X.2014.923917     Document Type: Article

References (34)

1. J.B.Abbes,, 2013. Hydrological modelling of the Loup catchment (MSc Intership Thesis). Ecole des Ponts ParisTech.
2. Allison, INSA Lyon, & SOGREAH Consultants, 2005. Manuel d'utilisation de Canoe. Retrieved from www.canoe-hydro.com.
3. G.Aronica, and M.Cannarozzo,, 2000. Studying the hydrological response of urban catchments using a semi-distributed linear non-linear model. Journal of Hydrology, 238, 35–43.
4. E.Douglas, and A.Barros,, 2003. Probable maximum precipitation estimation using multifractals: application in the Eastern United States. Journal of Hydrometeorology, 4, 1012–1024.
5. E.El Tabach,, I.Tchiguirinskaia,, O.Mahmood,, and D.Schertzer,, 2009, November. Multi-Hydro: a spatially distributed numerical model to assess and manage runoff processes in peri-urban watersheds. In: E.Pasche, N.Evelpidou, C.Zevenbergen, R.Ashley and S.Garvin, eds. Final Conference of the COST Action C22, Road map towards flood resilient Urban Environment, Paris, France. Hamburger Wasserbau-Schriften.
6. th Urban Drainage conference, Belgrade, Serbia. Faculty of Civil Engineering, University of Belgrade. Retrieved from http://hikom.grf.bg.ac.rs/9UDM/.
7. A.Gires,, C.Onof,, C.Maksimovic,, D.Schertzer,, I.Tchiguirinskaia,, and N.Simoes,, 2012a. Quantifying the impact of small scale unmeasured rainfall variability on urban hydrology through multifractal downscaling: a case study. Journal of Hydrology, 442–443, 117–128.
8. A.Gires,, I.Tchiguirinskaia,, D.Schertzer,, and S.Lovejoy,, 2012b. Multifractal analysis of an urban hydrological model on a Seine-Saint-Denis study case. Urban Water Journal, 10 (3), 195–208.
9. A.Gires,, I.Tchiguirinskaia,, D.Schertzer,, and S.Lovejoy,, 2011. Analyses multifractales et spatio-temporelles des précipitations du modéle Méso-NH et des données radar. Hydrological Science Journal, 56 (3), 380–396.
10. A.Gires,, I.Tchiguirinskaia,, D.Schertzer,, and S.Lovejoy,, 2013. Development and analysis of a simple model to represent the zero rainfall in a universal multifractal framework. Nonlinear Processes in Geophysics, 20, 343–356.
11. A.Gires,, I.Tchiguirinskaia,, D.Schertzer,, A.Schellart,, A.Berne,, and S.Lovejoy,, 2014. Influence of small scale rainfall variability on standard comparison tools between radar and rain gauge data. Atmospheric Research, 138, 125–138.
12. M.H.Hsu,, S.H.Chen,, and T.J.Chang,, 2000. Inundation simulation for urban drainage basin with storm sewer system. Journal of Hydrology, 234, 27–31.
13. P.Hubert,, et al., 1993. Multifractals and extreme rainfall events. Geophysics Letters, 20, 931–934.
14. S.Jankowfsky,, 2011. Understanding and modelling of hydrological processes in small peri-urban catchments using an object-oriented and modular distributed approach. Application to the Chaudanne and Mercier sub-catchments (Yzeron catchment, France) (PhD Thesis). Lyon, France.
15. M.I.P.de Lima, and J.de Lima,, 2009. Investigating the multifractality of point precipitation in the Madeira archipelago. Nonlinear Processes in Geophysics, 16 (2), 299–311.
16. L.de Montera,, L.Barthes,, C.Mallet,, and P.Gole,, 2009. The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters. Journal of Hydrometeorology, 10 (2), 493–506.
17. J.Leandro,, A.Chen,, S.Djordjević,, and D.Savić,, 2009. Comparison of 1D/1D and 1D/2D coupled (sewer/surface) hydraulic models for urban flood simulation. Journal of Hydraulic Engineering, 135 (6), 495–504.
18. S.Lovejoy, and D.Schertzer,, 2010. On the simulation of continuous in scale universal multifractals, part I: Spatially continuous processes. Computers & Geosciences, 36 (11), 1393–1403.
19. Č.Maksimović,, D.Prodanović,, S.Boonya-aroonnet,, J.P.Leitão,, S.Djordjević,, and R.Allitt,, 2009. Overland flow and pathway analysis for modelling of urban pluvial flooding. Journal of Hydraulic Research, 47 (4), 512–523.
20. P.V.Mandapaka,, P.Lewandowski,, W.E.Eichinger,, and W.F.Krajewski,, 2009. Multiscaling analysis of high resolution space-time lidar-rainfall. Nonlinear Processes in Geophysics, 16 (5), 579–586.
21. S.Pecknold,, S.Lovejoy,, D.Schertzer,, C.Hooge,, and J.F.Malouin,, 1993. The simulation of universal multifractals. In: J.M.Perdang and A.Lejeune, eds. Cellular Automata: Prospects in astrophysical applications. Singapore: World Scientific, 228–267.
22. J.Richard,, I.Tchiguirinskaia,, and D.Schertzer,, 2012, July. GIS data Assimilation interface for distributed hydrological models. Proceedings Hydro-Informatics Conference, Hamburg, Germany.
23. F.Rodriguez,, H.Andrieu,, and F.Morena,, 2008. A distributed hydrological model for urbanized areas - model development and application to case studies. Journal of Hydrology, 351, 268–287.
24. L.A.Rossman,, 2010. Storm Water Management Model, User's Manual, version 5.0. Washington, DC: U.S. Environmental Protection Agency, EPA/600/R-05/040.
25. J.F.Royer,, et al., 2008. Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario. C.R. Geoscience, 340, 431–440.
26. D.Schertzer, and S.Lovejoy,, 1987. Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes. Journal of Geophysical Research, 92 (D8), 9693–9714.
27. D.Schertzer, and S.Lovejoy,, 2011. Multifractals, Generalized Scale Invariance and Complexity in Geophysics. International Journal of Bifurcation and Chaos, 21 (12), 3417–3456.
28. M.Schüetze,, A.Campisano,, H.Colas,, W.Schilling,, and P.A.Vanrollegheme,, 2004. Real time control of urban wastewater systems—where do we stand today? Journal of Hydrology, 299, 335–348.
29. M.L.Segond,, H.S.Wheater,, and C.Onof,, 2007. The significance of small-scale spatial rainfall variability on runoff modeling. Journal of Hydrology, 173, 309–326.
30. V.P.Singh,, 1997. Effect of spatial and temporal variability in rainfall and watershed characteristics on stream flow hydrograph. Hydrology Processes, 11, 1649–1669.
31. P.Tabary,, 2007. The new French operational radar rainfall product. Part I: Methodology. Weather and Forecasting, 22, 393–408.
32. P.Tabary,, J.Desplats,, K.Do Khac,, F.Eideliman,, C.Gueguen,, and J.C.Heinrich,, 2007. The new French operational radar rainfall product. Part II: Validation. Weather and Forecasting, 22, 409–427.
33. M.L.Velleux,, J.F.England,, and P.Y.Julien,, 2011. TREX watershed modelling framework user's manual: model theory and description. Fort Collins, CO: Department of Civil Engineering, Colorado State University.
34. S.Verrier,, L.de Montera,, L.Barthes,, and C.Mallet,, 2010. Multifractal analysis of African monsoon rain fields, taking into account the zero rain-rate problem. Journal of Hydrology, 389 (1–2), 111–120.