Multi-scale statistical characterization of migrating pier scour depth in non-uniform sand bed channel

References

• ANCID, 2006. Australian irrigation water provider benchmarking data report for 2004–2005. Australian National Committee on Irrigation and Drainage, Canberra.
   Google Scholar
• Avent, R.R. and Alawady, M., 2005. Bridge scour and substructure deterioration: case study. Journal of Bridge Engineering, 10 (3), 247–254. doi: 10.1061/(ASCE)1084-0702(2005)10:3(247)
   Web of Science ®Google Scholar
• Berenbrock, C., 1999. Streamflow gains and losses in the lower Boise River basin, Idaho, 1996–97 (No. 99-4105). US Geological Survey.
   Google Scholar
• Breusers, H.N.C., Nicollet, G., and Shen, H.W., 1977. Local scour around cylindrical piers. Journal of Hydraulic Research, 15 (3), 211–252. doi: 10.1080/00221687709499645
   Web of Science ®Google Scholar
• Cao, D. and Chiew, Y.M., 2014. Suction effects on sediment transport in closed-conduit flows. Journal of Hydraulic Engineering, 140 (5), 04014008. doi: 10.1061/(ASCE)HY.1943-7900.0000833
   Web of Science ®Google Scholar
• Chang, W.-Y., Lai, J.-S., and Yen, C.-L., 2004. Evolution of scour depth at circular bridge piers. Journal of Hydraulic Engineering, 130 (9), 905–913. doi: 10.1061/(ASCE)0733-9429(2004)130:9(905)
   Web of Science ®Google Scholar
• Chiew, Y.M., 2004. Local scour and riprap stability at bridge piers in a degrading channel. Journal of Hydraulic Engineering, 130 (3), 218–226. doi: 10.1061/(ASCE)0733-9429(2004)130:3(218)
   Web of Science ®Google Scholar
• Chiew, Y. and Melville, B., 1987. Local scour around bridge piers. Journal of Hydraulic Research, 25 (1), 15–26. doi: 10.1080/00221688709499285
   Web of Science ®Google Scholar
• Cooper, G.R.J. and Cowan, D.R., 2008. Comparing time series using wavelet-based semblance analysis. Computers & Geosciences, 34 (2), 95–102. doi: 10.1016/j.cageo.2007.03.009
   Web of Science ®Google Scholar
• Defina, A., 2003. Numerical experiments on bar growth. Water Resources Research, 39 (4). doi: 10.1029/2002WR001455
   Web of Science ®Google Scholar
• Devi, T.B. and Kumar, B., 2015. Turbulent flow statistics of vegetative channel with seepage. Journal of Applied Geophysics, 123, 267–276. doi: 10.1016/j.jappgeo.2015.11.002
   Web of Science ®Google Scholar
• Devi, T.B., Sharma, A., and Kumar, B., 2016. Turbulence characteristics of vegetated channel with downward seepage. Journal of Fluids Engineering, 138 (12), 121102. doi: 10.1115/1.4033814
   Web of Science ®Google Scholar
• Francalanci, S., Parker, G., and Solari, L., 2008. Effect of seepage-induced nonhydrostatic pressure distribution on bed-load transport and bed morphodynamics. Journal of Hydraulic Engineering, 134 (4), 378–389. doi: 10.1061/(ASCE)0733-9429(2008)134:4(378)
   Web of Science ®Google Scholar
• Goring, D.G. and Nikora, V.I., 2002. Despiking acoustic Doppler velocimeter data. Journal of Hydraulic Engineering, 128 (1), 117–126. doi: 10.1061/(ASCE)0733-9429(2002)128:1(117)
   Web of Science ®Google Scholar
• Grimaldi, C., et al., 2009. Countermeasures against local scouring at bridge piers: slot and combined system of slot and bed sill. Journal of Hydraulic Engineering, 135 (5), 425–431. doi: 10.1061/(ASCE)HY.1943-7900.0000035
   Web of Science ®Google Scholar
• Jerolmack, D.J. and Mohrig, D., 2005. A unified model for subaqueous bed form dynamics. Water Resources Research, 41 (12). doi: 10.1029/2005WR004329
   PubMed Web of Science ®Google Scholar
• Kothyari, U.C. and Kumar, A., 2012. Temporal variation of scour around circular compound piers. Journal of Hydraulic Engineering, 138 (11), 945–957. doi: 10.1061/(ASCE)HY.1943-7900.0000593
   Web of Science ®Google Scholar
• Kothyari, U., Ranga Raju, K., and Garde, R., 1992. Live-bed scour around cylindrical bridge piers. Journal of Hydraulic Research, 30 (5), 701–715. doi: 10.1080/00221689209498889
   Web of Science ®Google Scholar
• Kumar, V., Raju, K.G.R., and Vittal, N. 1999. Reduction of local scour around bridge piers using slots and collars. Journal of Hydraulic Engineering, 125 (12), 1302–1305. doi: 10.1061/(ASCE)0733-9429(1999)125:12(1302)
   Web of Science ®Google Scholar
• Lagasse, P.F., 2007. Countermeasures to protect bridge piers from scour. Vol. 593. Washington, DC: Transportation Research Board, 1–111.
   Google Scholar
• Lu, Y., Chiew, Y.M., and Cheng, N.S., 2008. Review of seepage effects on turbulent open-channel flow and sediment entrainment. Journal of Hydraulic Research, 46 (4), 476–488. doi: 10.3826/jhr.2008.2942
   Web of Science ®Google Scholar
• Mallat, S., 1999. A wavelet tour of signal processing. Burlington, MA: Academic Press.
   Google Scholar
• Marsh, N.A., Western, A.W., and Grayson, R.B., 2004. Comparison of methods for predicting incipient motion for sand beds. Journal of Hydraulic Engineering, 130 (7), 616–621. doi: 10.1061/(ASCE)0733-9429(2004)130:7(616)
   Web of Science ®Google Scholar
• Martin, C.A. and Gates, T.K., 2014. Uncertainty of canal seepage losses estimated using flowing water balance with acoustic Doppler devices. Journal of Hydrology, 517, 746–761. doi: 10.1016/j.jhydrol.2014.05.074
   Web of Science ®Google Scholar
• Masjedi, A., Bejestan, M.S., and Esfandi, A., 2010. Experimental study on local scour around single oblong pier fitted with a collar in a 180 degree flume bend. International Journal of Sediment Research, 25 (3), 304–312. doi: 10.1016/S1001-6279(10)60047-9
   Web of Science ®Google Scholar
• Melville, B.W. and Coleman, S.E., 2000. Bridge scour. Colorado: Water Resources Publication, 550.
   Google Scholar
• Mia, M.F. and Nago, H., 2004. Closure to “design method of time dependent local scour at circular bridge pier” by Md. Faruque Mia and Hiroshi Nago. Journal of Hydraulic Engineering, 130 (12), 1213–1213. doi: 10.1061/(ASCE)0733-9429(2004)130:12(1213)
   Web of Science ®Google Scholar
• Nikora, V.I. and Goring, D.G., 2001. Extended self-similarity in geophysical and geological applications. Mathematical Geology, 33 (3), 251–271. doi: 10.1023/A:1007630021716
   Google Scholar
• Nikora, V.I., Sukhodolov, A.N., and Rowinski, P.M., 1997. Statistical sand wave dynamics in one-directional water flows. Journal of Fluid Mechanics, 351, 17–39. doi: 10.1017/S0022112097006708
   Web of Science ®Google Scholar
• Nordin, C.F. and Algert, J.H., 1966. Spectral analysis of sand waves. Journal of the Hydraulics Division, 92 (5), 95–114.
   Google Scholar
• Oliveto, G. and Hager, W.H., 2005. Further results to time-dependent local scour at bridge elements. Journal of Hydraulic Engineering, 131 (2), 97–105. doi: 10.1061/(ASCE)0733-9429(2005)131:2(97)
   Web of Science ®Google Scholar
• Qi, M., Chiew, Y.M., and Hong, J.H., 2013. Suction effects on bridge pier scour under clear-water conditions. Journal of Hydraulic Engineering, 139 (6), 621–629. doi: 10.1061/(ASCE)HY.1943-7900.0000711
   Web of Science ®Google Scholar
• Richardson, J.R., Abt, S.R., and Richardson, E.V., 1985. Inflow seepage influence on straight alluvial channels. Journal of Hydraulic Engineering, 111 (8), 1133–1147. doi: 10.1061/(ASCE)0733-9429(1985)111:8(1133)
   Web of Science ®Google Scholar
• Sharma, A. and Kumar, B., 2016. Probability distribution of turbulence in curvilinear cross section mobile bed channel. Water Science and Technology, 73 (6), 1472–1482. doi: 10.2166/wst.2015.629
   PubMed Web of Science ®Google Scholar
• Singh, A., et al., 2011. Multiscale statistical characterization of migrating bed forms in gravel and sand bed rivers. Water Resources Research, 47 (12). doi: 10.1029/2010WR010122
   PubMed Web of Science ®Google Scholar
• Torrence, C. and Compo, G.P., 1998. A practical guide to wavelet analysis. Bulletin of the American Meteorological Society, 79 (1), 61–78. doi: 10.1175/1520-0477(1998)079<0061:APGTWA>2.0.CO;2
   Web of Science ®Google Scholar
• Wu, B., Molinas, A., and Julien, P.Y., 2004. Bed-material load computations for non-uniform sediments. Journal of Hydraulic Engineering, 130 (10), 1002–1012. doi: 10.1061/(ASCE)0733-9429(2004)130:10(1002)
   Web of Science ®Google Scholar
• Yang, S.Q., Tan, S.K., and Lim, S.Y., 2004. Velocity distribution and dip-phenomenon in smooth uniform open channel flows. Journal of Hydraulic Engineering, 130 (12), 1179–1186. doi: 10.1061/(ASCE)0733-9429(2004)130:12(1179)
   Web of Science ®Google Scholar
• Yanmaz, A.M. and Altinbilek, H.D., 1991. Study of time-dependent local scour around bridge piers. Journal of Hydraulic Engineering, 117 (10), 1247–1268. doi: 10.1061/(ASCE)0733-9429(1991)117:10(1247)
   Web of Science ®Google Scholar