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Original Articles

Estimating time parameters of overland flow on impervious surfaces by the particle tracking method

Estimation des paramètres temporelss de l’écoulement sur des surfaces imperméables par la méthode du suivi de particules

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Pages 294-310 | Received 04 Oct 2013, Accepted 15 Jan 2014, Published online: 07 Jan 2015

REFERENCES

  • Abbott, M., et al., 1986. An introduction to the European hydrological system—Système hydrologique Européen, ‘SHE’, 2: structure of a physically-based, distributed modelling system. Journal of Hydrology, 87 (1–2), 61–77. doi:10.1016/0022-1694(86)90115-0.
  • Abrahams, A.D., Parsons, A.J., and Luk, S.H., 1986. Field measurement of the velocity of overland flow using dye tracing. Earth Surface Processes and Landforms, 11 (6), 653–657. doi:10.1002/esp.3290110608.
  • Admiraal, D.M., Stansbury, J.S., and Haberman, C.J., 2004. Case study: particle velocimetry in a model of lake Ogallala. Journal of Hydraulic Engineering, 130 (7), 599–607. doi:10.1061/(ASCE)0733-9429(2004)130:7(599).
  • Adrian, R.J., 1991. Particle-imaging techniques for experimental fluid mechanics. Annual Review of Fluid Mechanics, 23 (1), 261–304. doi:10.1146/annurev.fl.23.010191.001401.
  • Ahlstron, S.W., et al., 1977. Multicomponent mass transport model: theory and numerical implementation (discrete-parcel-random walk version). Richland, WA: Battelle Pacific Northwest Lab. BNWL 2127.
  • Akan, A.O. and Yen, B.C., 1984. Effect of time distribution of rainfall on overland runoff. In proceedings of the third international conference on urban storm drainage, June 4–8 1984. Goteborg, Sweden, 193–202.
  • Amsden, A.A., 1966. The particle-in-cell method for calculation of the dynamics of compressible fluids. Los Angeles, CA: Los Alamos Scientific Laboratory, University of California.
  • Bennis, S. and Crobeddu, E., 2007. New runoff simulation model for small urban catchments. Journal of Hydrologic Engineering, 12 (5), 540–544. doi:10.1061/(ASCE)1084-0699(2007)12:5(540).
  • Ben-Zvi, A., 1984. Runoff peaks from two-dimensional laboratory watersheds. Journal of Hydrology, 68 (1–4), 115–139. doi:10.1016/0022-1694(84)90207-5.
  • Berman, E.S., et al., 2009. High-frequency field-deployable isotope analyzer for hydrological applications. Water Resources Research, 45 (10), W10201. doi:10.1029/2009WR008265.
  • Bradley, A.A., et al., 2002. Flow measurement in streams using video imagery. Water Resources Research, 38 (12), 51-1–51-8. doi:10.1029/2002WR001317.
  • Chang, T.P.K., Watson, A.T., and Tatterson, G.B., 1985. Image processing of tracer particle motions as applied to mixing and turbulent flow – I. The technique. Chemical Engineering Science, 40 (2), 269–275. doi:10.1016/0009-2509(85)80066-X.
  • Chen, C.N. and Wong, T.S.W., 1993. Critical rainfall duration for maximum discharge from overland plane. Journal of Hydraulic Engineering, 119 (9), 1040–1045. doi:10.1061/(ASCE)0733-9429(1993)119:9(1040).
  • Chow, V.T., 1967. Laboratory study of watershed hydrology. In Proc. Int. Hydrol. Symp. Fort Collins, Colo., 194–202.
  • Cleveland, T.G., et al., 2008. Synthesis of unit hydrographs from a digital elevation model. Journal of Irrigation and Drainage Engineering, 134 (2), 212–221. doi:10.1061/(ASCE)0733-9437(2008)134:2(212).
  • Doan, J.H., 2000. Geospatial hydrologic modeling extension HEC-GeoHMS – user’s manual – version 1.0. Davis, CA: US Army Corps of Engineers Hydrologic Engineering Center.
  • Dunkerley, D.L., 2003. An optical tachometer for short-path measurement of flow speeds in shallow overland flows: improved alternative to dye timing. Earth Surface Processes and Landforms, 28 (7), 777–786. doi:10.1002/esp.468.
  • Dunne, T. and Dietrich, W.E., 1980. Experimental investigation of horton overland flow on tropical hillslopes: II. Hydraulic characteristics and hillslope hydrographs. Zeitschrift für Geomorphologie Supplement, 35, 60–80.
  • Emmett, W., 1970. The hydraulics of overland flow on hillslopes. US Geological Survey, Professional Paper 662A. Washington, DC: United States Government Printing Office.
  • Esteves, M., et al., 2000. The ‘EMIRE’ large rainfall simulator: design and field testing. Earth Surface Processes and Landforms, 25, 681–690. doi:10.1002/1096-9837(200007)25:7<681::AID-ESP124>3.0.CO;2-8.
  • Froehlich, D.C., 2011. NRCS overland flow travel time calculation. Journal of Irrigation and Drainage Engineering, 137 (4), 258–262. doi:10.1061/(ASCE)IR.1943-4774.0000287.
  • Gardner, R.P. and Dunn, J.W. III, 1964. A single-sample radiotracer technique for determining stream flow rates. The International Journal of Applied Radiation and Isotopes, 15 (6), 339–344. doi:10.1016/0020-708X(64)90123-1.
  • Govers, G., 1992. Relationship between discharge, velocity and flow area for rills eroding loose, non-layered materials. Earth Surface Processes and Landforms, 17 (5), 515–528. doi:10.1002/esp.3290170510.
  • Grimaldi, S., et al., 2010. Flow time estimation with spatially variable hillslope velocity in ungauged basins. Advances in Water Resources, 33 (10), 1216–1223. doi:10.1016/j.advwatres.2010.06.003.
  • Grimaldi, S., et al., 2012. Time of concentration: a paradox in modern hydrology. Hydrological Sciences Journal, 57 (2), 217–228. doi:10.1080/02626667.2011.644244.
  • Harlow, F.E., 1963. The particle-in-cell method for numerical solution of problems in fluid dynamics. Proceedings of Symposia in Applied Mathematics, 15, 269.
  • Harlow, F.H. and Welch, J.E., 1966. Numerical study of large amplitude free surface motions. Physics of Fluids, 9 (5), 842–851. doi:10.1063/1.1761784.
  • Henderson, F.M. and Wooding, R.A., 1964. Overland flow and groundwater flow from a steady rainfall of finite duration. Journal of Geophysical Research, 69 (8), 1531–1540. doi:10.1029/JZ069i008p01531.
  • Hicks, W.I., 1942. Discussion of “Surface runoff determination from rainfall without using coefficients. W.W. Horner and S.W. Jens, eds. Transactions of the ASCE, 107, 1097–1102.
  • Hromadka, T.V. II and Yen, C.C., 1986. A diffusion hydrodynamic model (DHM). Advances in Water Resources, 9 (3), 118–170. doi:10.1016/0309-1708(86)90031-X.
  • Hu, G.-Q., et al., 2011. Laboratory testing of magnetic tracers for soil erosion measurement. Pedosphere, 21 (3), 328–338. doi:10.1016/S1002-0160(11)60133-1.
  • Ivanov, V.Y., et al., 2004. Preserving high-resolution surface and rainfall data in operational-scale basin hydrology: a fully-distributed physically-based approach. Journal of Hydrology, 298 (1–4), 80–111. doi:10.1016/j.jhydrol.2004.03.041.
  • Izzard, C.F. and Augustine, M.T., 1943. Preliminary report on analyses of runoff resulting from simulated rainfall on a paved plot. Transactions, American Geophysical Union, 24 (2), 500–509. doi:10.1029/TR024i002p00500.
  • Izzard, C.F. and Hicks, W.I., 1946. Hydraulics of runoff from developed surfaces. In: 26th annual meetings of the highway research board, 5–8 December, Washington, DC, 129–150.
  • Jia, Y., et al., 2001. Development of WEP model and its application to an urban watershed. Hydrological Processes, 15 (11), 2175–2194. doi:10.1002/hyp.275.
  • Kazezyılmaz-Alhan, C.M. and Medina Jr, M.A., 2007. Kinematic and diffusion waves: analytical and numerical solutions to overland and channel flow. Journal of Hydraulic Engineering, 133 (2), 217–228. doi:10.1061/(ASCE)0733-9429(2007)133:2(217).
  • KC, M., et al., 2014. Improved time of concentration estimation on overland flow surfaces including low-sloped planes. Journal of Hydrologic Engineering, 19 (3), 495–508. doi:10.1061/(ASCE)HE.1943–5584.0000830.
  • Kent, K.M., 1972. Travel time, time of concentration and lag. National engineering hand book—Hydrology, Section 4, Chapter 15. Washington, DC: US Department of Agriculture, 1–16.
  • Konikow, L.F. and Bredehoeft, J.D., 1978. Computer model of 2-dimensional solute transport and dispersion in groundwater. Washington, DC: US Geological Survey.
  • Kuichling, E., 1889. The relation between the rainfall and the discharge of sewers in populous areas. Transactions, American Society of Civil Engineers, 20, 1–56.
  • Kull, D.W. and Feldman, A.D., 1998. Evolution of Clark’s unit graph method to spatially distributed runoff. Journal of Hydrologic Engineering, 3 (1), 9–19. doi:10.1061/(ASCE)1084-0699(1998)3:1(9).
  • Landreth, C., Adrian, R., and Yao, C., 2004. Double pulsed particle image velocimeter with directional resolution for complex flows. Experiments in Fluids, 6 (2), 119–128. doi:10.1007/BF00196463.
  • Legates, D.R. and McCabe, G.J., 1999. Evaluating the use of “goodness-of-fit” measures in hydrologic and hydroclimatic model validation. Water Resources Research, 35 (1), 233–241. doi:10.1029/1998WR900018.
  • Lei, T., et al., 2010. An improved method for shallow water flow velocity measurement with practical electrolyte inputs. Journal of Hydrology, 390 (1–2), 45–56. doi:10.1016/j.jhydrol.2010.06.029.
  • Liu, Z.C., et al., 1991. High resolution measurement of turbulent structure in a channel with particle image velocimetry. Experiments in Fluids, 10 (6), 301–312. doi:10.1007/BF00190246.
  • Liu, Y.B., et al., 2003. A diffusive transport approach for flow routing in GIS-based flood modeling. Journal of Hydrology, 283 (1–4), 91–106. doi:10.1016/S0022-1694(03)00242-7.
  • López-Barrera, D., et al., 2012. Diffusive-wave based hydrologic-hydraulic model with sediment transport. I: model development. Journal of Hydrologic Engineering, 17 (10), 1093–1104. doi:10.1061/(ASCE)HE.1943-5584.0000552.
  • Luo, W. and Harlin, J., 2003. A theoretical travel time based on watershed hypsometry. Journal of the American Water Resources Association, 39 (4), 785–792. doi:10.1111/j.1752-1688.2003.tb04405.x.
  • Maidment, D.R., 1993. Developing a spatially distributed unit hydrograph by using GIS. Proceedings of the Vienna Conference, HydroGIS, 93, 181–192.
  • McCuen, R.H., 2009. Uncertainty analyses of watershed time parameters. Journal of Hydrologic Engineering, 14 (5), 490–498. doi:10.1061/(ASCE)HE.1943-5584.0000011.
  • McCuen, R.H. and Spiess, J.M., 1995. Assessment of kinematic wave time of concentration. Journal of Hydraulic Engineering, 121 (3), 256–266. doi:10.1061/(ASCE)0733-9429(1995)121:3(256).
  • McCuen, R.H., Wong, S.L., and Rawls, W.J., 1984. Estimating urban time of concentration. Journal of Hydraulic Engineering, 110 (7), 887–904. doi:10.1061/(ASCE)0733-9429(1984)110:7(887).
  • Meselhe, E., Peeva, T., and Muste, M., 2004. Large scale particle image velocimetry for low velocity and shallow water flows. Journal of Hydraulic Engineering, 130 (9), 937–940. doi:10.1061/(ASCE)0733-9429(2004)130:9(937).
  • Moramarco, T. and Singh, V.P., 2002. Accuracy of kinematic wave and diffusion wave for spatial-varying rainfall excess over a plane. Hydrological Processes, 16 (17), 3419–3435. doi:10.1002/hyp.1108.
  • Morgali, J.R. and Linsley, R.K., 1965. Computer analysis of overland flow. Journal of Hydraulics Division, 91 (HY3), 81–100.
  • Mügler, C., et al., 2011. Comparison of roughness models to simulate overland flow and tracer transport experiments under simulated rainfall at plot scale. Journal of Hydrology, 402 (1–2), 25–40. doi:10.1016/j.jhydrol.2011.02.032.
  • Mulvany, T.J., 1851. On the use of self-registering rain and flood gauges in making observations of the relations of rainfall and flood discharges in a given catchment. Proceedings of the Institution of Civil Engineers of Ireland, 4 (2), 18–33.
  • Muzik, I., 1974. Laboratory experiments with surface runoff. Journal of the Hydraulics Division, 100 (4), 501–516.
  • Niri, M.Z., et al., 2012. Derivation of travel time based on diffusive wave approximation for the time-area hydrograph simulation. Journal of Hydrologic Engineering, 17 (1), 85–91. doi:10.1061/(ASCE)HE.1943-5584.0000399.
  • Noto, L. and La Loggia, G., 2007. Derivation of a distributed unit hydrograph integrating GIS and remote sensing. Journal of Hydrologic Engineering, 12 (6), 639–650. doi:10.1061/(ASCE)1084-0699(2007)12:6(639).
  • Olivera, F. and Maidment, D.R., 1999. Geographic information systems (GIS)-based spatially distributed model for runoff routing. Water Resources Research, 35 (4), 1155–1164. doi:10.1029/1998WR900104.
  • Pilgrim, D.H., 1976. Travel times and nonlinearity of flood runoff from tracer measurements on a small watershed. Water Resources Research, 12 (3), 487–496. doi:10.1029/WR012i003p00487.
  • Planchon, O., et al., 2005. An automated salt-tracing gauge for flow-velocity measurement. Earth Surface Processes and Landforms, 30 (7), 833–844. doi:10.1002/esp.1194.
  • Prickett, T.A., Naymik, T.G., and Lonnquist, C.G., 1981. A random walk solute transport model for selected groundwater quality evaluations. Champaign, IL: Illinois Water Survey Bulletin 65.
  • Raffel, M., Willert, C.E., and Kompenhans, J., 1998. Particle image velocimetry: a practical guide. New York: Springer.
  • Roels, J.M., 1984. Flow resistance in concentrated overland flow on rough slope surfaces. Earth Surface Processes and Landforms, 9 (6), 541–551. doi:10.1002/esp.3290090608.
  • Rouhipour, H., et al., 1999. Roughness coefficients and velocity estimation in well-inundated sheet and rilled overland flow without strongly eroding bed forms. Earth Surface Processes and Landforms, 24 (3), 233–245. doi:10.1002/(SICI)1096-9837(199903)24:3<233::AID-ESP949>3.0.CO;2-T.
  • Saghafian, B. and Julien, P., 1995. Time to equilibrium for spatially variable watersheds. Journal of Hydrology, 172 (1–4), 231–245. doi:10.1016/0022-1694(95)02692-I.
  • Saghafian, B., Julien, P.Y., and Rajaie, H., 2002. Runoff hydrograph simulation based on time variable isochrone technique. Journal of Hydrology, 261 (1–4), 193–203. doi:10.1016/S0022-1694(02)00007-0.
  • Singh, V., 1976. Derivation of time of concentration. Journal of Hydrology, 30 (1–2), 147–165. doi:10.1016/0022-1694(76)90095-0.
  • Singh, V.P. and Aravamuthan, V., 1995. Accuracy of kinematic wave and diffusion wave approximations for time-independent flows. Hydrological Processes, 9 (7), 755–782. doi:10.1002/hyp.3360090704.
  • Singh, V.P., Jain, S.K., and Sherif, M.M., 2005. Errors of kinematic wave and diffusion wave approximations for time-independent flows with infiltration and momentum exchange included. Hydrological Processes, 19 (9), 1771–1790. doi:10.1002/hyp.5633.
  • Smedt, D.F., Yongbo, L., and Gebremeskel, S., 2000. Hydrologic modeling on a catchment scale using GIS and remote sensed land use information. In: C.A. Brebbia, ed. Risk Analysis II. Southampton: WIT Press, 295–304.
  • Su, D.H. and Fang, X., 2004. Estimating traveling time of flat terrain by 2-dimensional overland flow model. In: G. Jirka and W. Uijttewaal, eds. Shallow flows. Roterdam: Balkema, 623–625.
  • Tatard, L., et al., 2008. Measurement and modelling of high-resolution flow-velocity data under simulated rainfall on a low-slope sandy soil. Journal of Hydrology, 348 (1–2), 1–12. doi:10.1016/j.jhydrol.2007.07.016.
  • Tauro, F., et al., 2010. Characterization of buoyant fluorescent particles for field observations of water flows. Sensors, 10 (12), 11512–11529. doi:10.3390/s101211512.
  • Tauro, F., et al., 2012a. Fluorescent particle tracers in surface hydrology: a proof of concept in a semi-natural hillslope. Hydrology and Earth System Sciences, 16 (8), 2973–2983. doi:10.5194/hess-16-2973-2012.
  • Tauro, F., et al., 2012b. Tracing of shallow water flows through buoyant fluorescent particles. Flow Measurement and Instrumentation, 26 (0), 93–101. doi:10.1016/j.flowmeasinst.2012.03.007.
  • Taylor, T.D., 1983. Computational methods for fluid flow. New York: Springer-Verlag.
  • Tingwu, L., et al., 2005. Method for measuring velocity of shallow water flow for soil erosion with an electrolyte tracer. Journal of Hydrology, 301 (1–4), 139–145. doi:10.1016/j.jhydrol.2004.06.025.
  • Ventura Jr, E., Nearing, M.A., and Norton, L.D., 2001. Developing a magnetic tracer to study soil erosion. CATENA, 43 (4), 277–291. doi:10.1016/S0341-8162(00)00149-1.
  • Weitbrecht, V., Kühn, G., and Jirka, G.H., 2002. Large scale PIV-measurements at the surface of shallow water flows. Flow Measurement and Instrumentation, 13 (5–6), 237–245. doi:10.1016/S0955-5986(02)00059-6.
  • Wong, T.S.W., 1996. Time of concentration and peak discharge formulas for planes in series. Journal of Irrigation and Drainage Engineering, 122 (4), 256–258. doi:10.1061/(ASCE)0733-9437(1996)122:4(256).
  • Wong, T.S.W., 2005. Assessment of time of concentration formulas for overland flow. Journal of Irrigation and Drainage Engineering, 131 (4), 383–387. doi:10.1061/(ASCE)0733-9437(2005)131:4(383).
  • Woolhiser, D.A. and Liggett, J.A., 1967. Unsteady one-dimensional flow over a plane-the rising hydrograph. Water Resources Research, 3 (3), 753–771. doi:10.1029/WR003i003p00753.
  • Yeh, G.T., et al., 1998. A numerical model simulating water flow and contaminant and sediment transport in watershed systems of 1-D stream-river network, 2-D overland regime, and 3-D subsurface media (WASH123D: Version 1.0). US Army Corps of Engineers, Technical Report CHL-98-19.
  • Yen, B.C. and Chow, V.T., 1983. Local design storms: Vol III. Washington, DC: US Department of Transportation, Federal Highway Administration, H 38 FHWA-RD-82/065.
  • Yu, Y.S. and McNown, J.S., 1963. Runoff from impervious surfaces. Lawrence, KS: University of Kansas, 2–66.

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