Innovative Probabilistic Methodology for Evaluating the Reliability of Discrete Levee Reaches Owing to Piping
Publication: Journal of Hydrologic Engineering
Volume 20, Issue 5
Abstract
Traditionally, levees are a popular measure widely adopted for flood control, accepted and trusted by populations living in floodplain areas. The presence of levees sometimes might even induce a false sense of safety in the population, influencing their decision to develop further in floodplains, because they feel safer. Thus, failures of levee systems are potentially devastating, as they might induce loss of human lives, damages to properties, and economic loss. This study proposes an innovative methodology to estimate the reliability of levee systems, accounting for different sources of uncertainty, and to divide and classify discrete levee reaches, according to different fragility classes. The reliability analysis is performed by evaluating the probability of failure, as a function of a certain failure mechanism, conditioned by a given hydraulic load. Fragility curves are determined using two different methods: Monte Carlo data generation and the so-called approximate, first-order reliability method. Thus, once having assessed fragility curves for each discrete levee reach, different fragility indexes are introduced to assess the reliability of the levee system. As a test case, this methodology is applied to determine the probability of failure due to piping along a branch of the Po River (Italy), where the probability of failure in case of a synthetic 100-year return period flood event is additionally estimated. The computed fragility curves are in agreement with historical observations of levee breaches along the River.
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Acknowledgments
The authors are very grateful to the Interregional Agency for the Po River (Agenzia Interregionale per il Fiume Po, AIPO, Italy) and Po River Basin Authority (Autorità di Bacino del Fiume Po, Italy) for topographical, hydrological, and historical data used in this study. The work is partly funded in the framework of the European FP7 Project KULTURisk (Grant Agreement No. 265280).
References
Alkema, D., and Middelkoop, H. (2005). “The influence of floodplain compartmentalization on flood risk within the Rhine-Meuse delta.” Nat. Hazards, 36(1–2), 125–145.
Apel, H., Merz, B., and Thieken, A. H. (2009). “Influence of dike breaches on flood frequency estimation.” Comput. Geosci., 35(5), 907–923.
Apel, H., Thieken, A., Merz, B., and Blöschl, G. (2004). “Flood risk assessment and associated uncertainty.” Nat. Hazards Earth Syst. Sci., 4(2), 295–308.
Apel, H., Thieken, A., Merz, B., and Blöschl, G. (2006). “A probabilistic modelling system for assessing flood risks.” Nat. Hazards, 38(1–2), 79–100.
Aureli, F., and Mignosa, P. (2004). “Flooding scenarios due to the levee breaking in the Po River.” Water Manage., 157(1), 3–12.
Bligh, W. G. (1912). The practical design of irrigation works, 2nd Ed., Constable, London.
Brandimarte, L., Brath, A., Castellarin, A., and Di Baldassarre, G. (2009). “Isla Hispaniola: A trans-boundary flood risk mitigation plan.” J. Phys. Chem. Earth, 209–218.
Brandimarte, L., and Di Baldassarre, G. (2012). “Uncertainty in design flood profiles derived by hydraulic modelling.” Hydrol. Res., 43(6), 753–761.
Burton, C., and Cutter, S. L. (2008). “Levee failures and social vulnerability in the Sacramento–San Joaquin Delta area, California.” Nat. Hazards Rev., 136–149.
Carrier, W. D. (2003). “Goodbye, Hazen; hello, Kozeny-Carman.” J. Geotech. Geoenviron. Eng., 1054–1056.
Castellarin, A., Di Baldassarre, G., Bates, P. D., and Brath, A. (2009). “Optimal cross-sectional spacing in Preissmann scheme 1D hydrodynamic models.” J. Hydraul. Eng., 96–105.
Chang, Y.-C., Kan, C.-E., Lin, G.-F., Chiu, C.-L., and Lee, Y.-C. (2001). “Potential benefits of increased application of water to paddy fields in Taiwan.” Hydrol. Processes, 15(8), 1515–1524.
Chapuis, R. P., and Aubertin, M. (2003). “On the use of the Kozeny-Carman equation to predict the hydraulic conductivity of soils.” Can. Geotech. J., 40(3), 616–628.
Cheng, S. T. (1982). “Overtopping risk evaluation for an existing dam.” Ph.D. thesis, Dept. of Civil Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL.
Choi, S.-K., Grandhi, R., and Canfield, R. A. (2007). Reliability–based structural design, 1st Ed., Springer, London.
CIRIA. (2013). The international levee handbook, London.
Colleselli, F. (1994). Geotechnical problems related to river and channel embankments, CISM International Centre for Mechanical Sciences, Udine, Italy.
Coratza, L. (2005). Aggiornamento del catasto delle arginature maestre di Po, River Po Basin Authority, Parma, Italy (in Italian).
Covelli, C. (2006). “Sulla formazione di brecce nei rilevati arginali: Implicazioni relative alla protezione idraulica del territorio.” Ph.D. dissertation, Universitá degli Studi di Napoli ‘Federico II’, Napoli, Italy (in Italian).
Dawson, R., Hall, J., Sayers, P., Bates, P., and Rosu, C. (2005). “Sampling-based flood risk analysis for fluvial dike systems.” Stochastic Environ. Res. Risk Assess., 19(6), 388–402.
Di Baldassarre, G., Castellarin, A., Montanari, A., and Brath, A. (2009). “Probability weighted hazard maps for comparing different flood risk management strategies: A case study.” Nat. Hazards, 50(3), 479–496.
Di Baldassarre, G., Montanari, A., Lins, H., Koutsoyiannis, D., Brandimarte, L., and Bloeschl, G. (2010a). “Flood fatalities in Africa: From diagnosis to mitigation.” Geophys. Res. Lett., 37(20), L22402.
Di Baldassarre, G., Schumann, G., Brandimarte, L., and Bates, P. D. (2010b). “Timely low resolution SAR Imagery to support floodplain modelling: A case study review.” Surv. Geophys., 32(3), 255–269.
Di Baldassarre, G., Viglione, A., Carr, G., Kuil, L., Salinas, J. L., and Blöschl, G. (2013). “Socio-hydrology: Conceptualising human-flood interactions.” Hydrol. Earth Syst. Sci., 17(8), 3295–3303.
Domeneghetti, A., Vorogushyn, S., Castellarin, A., Merz, B., and Brath, A. (2013). “Probabilistic flood hazard mapping: Effects of uncertain boundary conditions.” Hydrol. Earth Syst. Sci., 3127–3140.
Gouldby, B., Sayers, P., Mulet-Marti, J., Hassan, M. A. A. M., and Benwell, D. (2008). “A methodology for regional-scale flood risk assessment.” Proc., Inst. Civ. Eng. Water Manage., 161(3), 169–182.
Govi, M., and Turitto, O. (2000). Casistica storica sui processi d’interazione delle correnti di piena del Po con arginature e con elementi morfotopografici del territorio adiacente, Scienza e vita nel momento attuale, Istituto Lombardo di Scienze e Lettere, Milano, Italy, 105–160 (in Italian).
Hall, J. W., Dawson, R. J., Sayers, P. B., Rosu, C., Chatterton, J. B., and Deakin, R. (2003). “A methodology for national-scale flood risk assessment.” Proc., Inst. Civ. Eng., Water Maritime Eng., 156(3), 235–247.
Hall, J. W., Sayers, P. B., and Dawson, R. J. (2005). “National-scale assessment of current and future flood risk in England and Wales.” Nat. Hazards, 36(1–2), 147–164.
Hasofer, A. M., and Lind, L. C. (1974). An exact and invariant first order reliability format, Solid Mechanics Division, Univ. of Waterloo, Waterloo, ON, Canada.
Heine, R. A., and Pinter, N. (2012). “Levee effects upon flood levels: An empirical assessment.” Hydrol. Processes, 26(21), 3225–3240.
Hesselink, A. W., Stelling, G. S., Kwadijk, J. C. J., and Middelkoop, H. (2003). “Inundation of a Dutch river polder, sensitivity analysis of a physically based inundation model using historic data.” Water Resour. Res., 39(9), in press.
Horritt, M. S., and Bates, P. D. (2001). “Predicting floodplain inundation: Raster-based modelling versus the finite-element approach.” Hydrol. Processes, 15(5), 825–842.
Hunter, N. M., Bates, P. D., Horritt, M. S., and Wilson, M. D. (2007). “Simple spatially-distributed models for predicting flood inundation: A review.” Geomorphology, 90(3–4), 208–225.
Khilar, K. C., Fogler, H. S., and Gray, D. H. (1985). “Model for piping-plugging in earthen structures.” J. Geotech. Eng., 833–846.
Kim, S.-H., and Shinozuka, M. (2004). “Development of fragility curves of bridges retrofitted by column jacketing.” Probab. Eng. Mech., 19(1–2), 105–112.
Lane, E. W. (1935). “Security from under-seepage-masonry dams on earth foundations.” Trans. Am. Soc. Civ. Eng., 100(1), 1235–1272.
Ludy, J., and Kondolf, G. (2012). “Flood risk perception in lands ‘protected’ by 100-year levees.” Nat. Hazards, 829–842.
Maier, H. R., Lence, B. J., Tolson, B. A., and Foschi, R. O. (2001). “First-order reliability method for estimating reliability, vulnerability, and resilience.” Water Resour. Res., 37(3), 779–790.
Maione, U., Mignosa, P., and Tomirotti, M. (2003). “Regional estimation of synthetic design hydrographs.” River Basin Manage., 1(2), 151–163.
Masoero, A., Claps, P., Asselman, E. M., Mosselman, E., and Di Baldassarre, G. (2013). “Reconstruction and analysis of the Po River inundation of 1951.” Hydrol. Processes, 27(9), 1341–1348.
Mazzoleni, M., Bacchi, B., Barontini, S., Di Baldassarre, G., Pilotti, M., and Ranzi, R. (2014). “Flooding hazard mapping in floodplain areas affected by piping breaches in the Po River, Italy.” J. Hydrol. Eng., 717–731.
Mazzoleni, M., Barontini, S., and Ranzi, R. (2012). “Reliability levee model to support flooding hazard assessment.” Proc., 33rd Italian Congress of Hydraulics and Hydraulic Structures, Edibios, Cosenza.
Melchers, R. E. (1999). Structural reliability analysis and prediction, 2nd Ed., Wiley, New York.
Melching, C. S., and Anmangandla, S. (1992). “Improved first-order uncertainty method for water quality modeling.” J. Environ. Eng., 791–805.
Milly, P. C. D., Wetherald, R. T., Dunne, K. A., and Delworth, T. L. (2002). “Increasing risk of great floods in a changing climate.” Nature, 415(6871), 514–517.
Mozhaev, A. P. (2002). “A porosity distribution in nonuniform homogeneous structures.” Doklady Phys., 47(5), 370–372.
Murotsu, Y., Yonezawa, M., Okada, H., Matsuzaki, S., and Matsumoto, T. (1984). “A study on first order second moment method in structural reliability.” Bull. Univ. Osaka Prefecture Ser. A, Eng. Nat. Sci., 33(1), 23–36.
Ohl, C., and Tapsell, S. (2000). “Flooding and human health: The dangers posed are not always obvious.” Brit. Med. J., 321(7270), 1167–1168.
Ojha, C. S. P., Singh, V. P., and Adrian, D. D. (2001). “Influence of porosity on piping models of levee failure.” J. Geotech. Geoenviron. Eng., 1071–1074.
Opperman, J., Galloway, G., Fargione, J., Mount, J., Richter, B., and Secchi, S. (2009). “Sustainable floodplains through largescale reconnection to rivers.” Science, 326(5959), 1487–1488.
Po River Basin Authority. (2005). “Progetto strategico per il miglioramento delle condizioni di sicurezza idraulica dei territori di pianura lungo l’asta medio-inferiore del Fiume Po.”, Parma, Italy (in Italian).
Rackwitz, R., and Fiessler, B. (1978). “Structural reliability under combined random load sequences.” Comput. Struct., 9(5), 489–494.
Ranzi, R., Bacchi, B., Barontini, S., Ferri, M., and Mazzoleni, M. (2013). “Levee breaches statistics, ‘geotechnical uncertainty’, residual risk in flood hazard mapping.” Proc., 35th IAHR World Congress, Tsinghua University Press, Chengdu, China.
Ranzi, R., Barontini, S., Mazzoleni, M., Ferri, M., and Bacchi, B. (2012). “Levee breaches and ‘geotechnical uncertainty’ in flood risk mapping.” IAHR European Division Congress, International Association of Hydraulic Engineering and Research, China.
Rice, J., and Polanco, L. (2012). “Reliability-based underseepage analysis in levees using a response surface-Monte Carlo simulation method.” J. Geotech. Geoenviron. Eng., 821–830.
Sayers, P., Hall, J., and Meadowcroft, I. (2002). “Towards risk–based flood hazard management in the U.K.” Proc., Inst. Civ. Eng., 150(5), 36–42.
Sellmeijer, J. B. (1989). “On the mechanism of piping under impervious structures.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Shinozuka, M., Feng, M. Q., Lee, J., and Naganuma, T. (2000). “Statistical analysis of fragility curves.” J. Eng. Mech., 1224–1231.
Technical Advisory Committee on Water Defences (TAW). (2010). “Probabilistic design of flood defences, published by the centre for civil engineering research and codes (CUR).”, Gouda, Netherlands.
Turitto, O., Cirio, C. G., Nigrelli, G., Bossuto, P., and Viale, F. (2010). “Vulnerability of main Po River levees in the last 200 years.” L’Acqua, 6, 17–34.
United Nations Department of Economic and Social Affairs/Population Division. (2012). World urbanization prospects: The 2011 revision, New York.
U.S. Army Corps of Engineers (USACE). (1996). Risk-based analysis for flood damage reduction studies, Washington, DC.
U.S. Army Corps of Engineers (USACE). (2010). HEC-RAS river analysis system. Hydraulic reference manual, Hydrologic Engineering Research Center, Davis, CA.
Vorogushyn, S., Apel, H., and Merz, B. (2011). “The impact of the uncertainty of dike breach development time on flood hazard.” Phys. Chem. Earth, 36(7–8), 319–323.
Vorogushyn, S., Merz, B., and Apel, H. (2009). “Development of dike fragility curves for piping and micro-instability breach mechanisms.” Nat. Hazards Earth Syst. Sci., 9(4), 1383–1401.
Wahl, T. (2004). “Uncertainty of predictions of embankment dam breach parameters.” J. Hydraul. Eng., 389–397.
White, G. F. (1945). Human adjustments to floods, Dept. of Geography Research, Univ. of Chicago, Chicago.
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Journal of Hydrologic Engineering
Volume 20 • Issue 5 • May 2015
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© 2014 American Society of Civil Engineers.
History
Received: Jan 13, 2014
Accepted: Jul 1, 2014
Published online: Sep 5, 2014
Discussion open until: Feb 5, 2015
Published in print: May 1, 2015
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