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Published in: Water Resources Management 1/2013

01-01-2013

Uncertainties in the Methods of Flood Discharge Measurement

Authors: Yen-Chang Chen, Yung-Chia Hsu, Kuang-Ting Kuo

Published in: Water Resources Management | Issue 1/2013

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Abstract

This study demonstrates an application of uncertainty analysis in evaluating methods of discharge measurement including: the velocity-area, rating curve and efficient methods based on the probabilistic velocity distribution equation. The measurement of river discharge plays a large part in the distribution of water resources. The conventional methods of discharge measurement are costly, time-consuming, and dangerous. Therefore the efficient method of discharge measurement which bases on the relationship between maximum and mean velocities being constant was employed to justify its alternative for the conventional methods: velocity-area and rating curve methods. Distribution test was applied to investigate the statistical properties of the uncertainties involved in the three methods of discharge measurement. Latin hypercube sampling (LHS) method was employed accordingly to assess the discharge features of the three methods of discharge measurement. The main purpose of this study is to quantify the uncertainty involved in several discharge measurement methods and justify the availability and reliability of using the efficient method as an alternative of the conventional methods. Results show that the correlation analysis also validates that the efficient method is a more reliable method than the rating curve method to yield accurate discharge measurements. Moreover, it also yielded comparably accurate measurements as those by the velocity-area method.

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Literature
go back to reference Ammari A, Remini B (2010) Estimation of Algerian rivers discharges based on Chiu’s equation. Arab J Geosci 3(1):59–65CrossRef Ammari A, Remini B (2010) Estimation of Algerian rivers discharges based on Chiu’s equation. Arab J Geosci 3(1):59–65CrossRef
go back to reference Askew JA, Yeh WG, Hall AH (1971) Use of Monte Carlo techniques in the design and operation of a multipurpose reservoir system. Water Resour Res 7(4):819–826CrossRef Askew JA, Yeh WG, Hall AH (1971) Use of Monte Carlo techniques in the design and operation of a multipurpose reservoir system. Water Resour Res 7(4):819–826CrossRef
go back to reference Bureau of Reclamation (1997) Water measurement manual. US Government Printing Office, Denver Bureau of Reclamation (1997) Water measurement manual. US Government Printing Office, Denver
go back to reference Chang CH, Tung YK, Yang JC (1994) Monte Carlo simulation for correlated variables with marginal distributions. J Hydraul Eng ASCE 120(2):313–331CrossRef Chang CH, Tung YK, Yang JC (1994) Monte Carlo simulation for correlated variables with marginal distributions. J Hydraul Eng ASCE 120(2):313–331CrossRef
go back to reference Chen YC (1998) An efficient method of discharge measurement, Ph.D. dissertation, University of Pittsburgh, Pittsburgh, PA Chen YC (1998) An efficient method of discharge measurement, Ph.D. dissertation, University of Pittsburgh, Pittsburgh, PA
go back to reference Chen YC, Chiu CL (2002) An efficient method of discharge measurement in tidal streams. J Hydrol 265(1–4):212–224CrossRef Chen YC, Chiu CL (2002) An efficient method of discharge measurement in tidal streams. J Hydrol 265(1–4):212–224CrossRef
go back to reference Cheng ST (1993) Statistics of dam failure. In: Yen BC, Tung YK (eds) Reliability and uncertainty analysis in hydraulic design. ASCE, New York, pp 97–105 Cheng ST (1993) Statistics of dam failure. In: Yen BC, Tung YK (eds) Reliability and uncertainty analysis in hydraulic design. ASCE, New York, pp 97–105
go back to reference Cheng ST, Yen BC, Tang WH (1982) Overtopping probability for an existing dam. Civil Engineering Studies, Hydraulic Engineering Series No. 37. University of Illinois at Urbana-Champaign, Urbana Cheng ST, Yen BC, Tang WH (1982) Overtopping probability for an existing dam. Civil Engineering Studies, Hydraulic Engineering Series No. 37. University of Illinois at Urbana-Champaign, Urbana
go back to reference Chiu CL (1988) Entropy and 2-D velocity distribution in open channels. J Hydraul Eng ASCE 114(7):738–756CrossRef Chiu CL (1988) Entropy and 2-D velocity distribution in open channels. J Hydraul Eng ASCE 114(7):738–756CrossRef
go back to reference Chiu CL, Chen YC (2003) An efficient method of discharge estimation based on probability concept. J Hydraul Res 41(6):589–596CrossRef Chiu CL, Chen YC (2003) An efficient method of discharge estimation based on probability concept. J Hydraul Res 41(6):589–596CrossRef
go back to reference Der Kiureghian A, Liu PL (1985) Structural reliability under incomplete probability information. J Eng Mech-ASCE 112(1):85–104CrossRef Der Kiureghian A, Liu PL (1985) Structural reliability under incomplete probability information. J Eng Mech-ASCE 112(1):85–104CrossRef
go back to reference Hall JW, Tarantola S, Bates PD, Horritt MS (2005) Distributed sensitivity analysis of flood inundation model calibration. J Hydraul Eng ASCE 131(2):117–126CrossRef Hall JW, Tarantola S, Bates PD, Horritt MS (2005) Distributed sensitivity analysis of flood inundation model calibration. J Hydraul Eng ASCE 131(2):117–126CrossRef
go back to reference Hasofer AM, Lind NC (1974) Exact and invariant second-Moment Code format. J Eng Mech Div 100(1):111–121 Hasofer AM, Lind NC (1974) Exact and invariant second-Moment Code format. J Eng Mech Div 100(1):111–121
go back to reference Herschy RW (ed) (1999) Uncertainties in hydrometric measurements. Hydrometry: Principles and Practice, 2nd edn. Wiley, Chichester Herschy RW (ed) (1999) Uncertainties in hydrometric measurements. Hydrometry: Principles and Practice, 2nd edn. Wiley, Chichester
go back to reference Herschy RW (2009) Streamflow measurement, 3rd edn. Routledge, London Herschy RW (2009) Streamflow measurement, 3rd edn. Routledge, London
go back to reference Hsu YC, Rohmer S (2010) Probabilistic assessment of industrial synergistic systems. J Ind Ecol 14(4):558–575CrossRef Hsu YC, Rohmer S (2010) Probabilistic assessment of industrial synergistic systems. J Ind Ecol 14(4):558–575CrossRef
go back to reference Hsu YC, Lin JS, Kuo JT (2007) A projection method for validating reliability analysis of soil slopes. J Geotech Geoenviron Eng-ASCE 133(6):753–756CrossRef Hsu YC, Lin JS, Kuo JT (2007) A projection method for validating reliability analysis of soil slopes. J Geotech Geoenviron Eng-ASCE 133(6):753–756CrossRef
go back to reference Hsu YC, Tung YK, Kuo JT (2011) Evaluation of dam overtopping probability induced by flood and wind. Stoch Env Res Risk Ass 25(1):35–49CrossRef Hsu YC, Tung YK, Kuo JT (2011) Evaluation of dam overtopping probability induced by flood and wind. Stoch Env Res Risk Ass 25(1):35–49CrossRef
go back to reference Khanal N, Buchberger SG, McKenna SA (2006) Distribution system contamination events: exposure, influence, and sensitivity. J Water Res Pl-ASCE 132(4):283–292CrossRef Khanal N, Buchberger SG, McKenna SA (2006) Distribution system contamination events: exposure, influence, and sensitivity. J Water Res Pl-ASCE 132(4):283–292CrossRef
go back to reference Kuo JT, Hsu YC, Tung YK, Yeh KC, Wu JD (2008) Dam overtopping risk considering inspection program. Stoch Env Res Risk Ass 22(3):303–313CrossRef Kuo JT, Hsu YC, Tung YK, Yeh KC, Wu JD (2008) Dam overtopping risk considering inspection program. Stoch Env Res Risk Ass 22(3):303–313CrossRef
go back to reference Lee WS, Lee KS, Kim SU, Chung ES (2010) The development of rating curve considering variance function using pseudo-likelihood estimation method. Water Resour Manag 24:321–348CrossRef Lee WS, Lee KS, Kim SU, Chung ES (2010) The development of rating curve considering variance function using pseudo-likelihood estimation method. Water Resour Manag 24:321–348CrossRef
go back to reference Manache G, Melching CS (2004) Comparison of risk calculation methods for a culvert. J Water Res Pl-ASCE 130(3):232–242CrossRef Manache G, Melching CS (2004) Comparison of risk calculation methods for a culvert. J Water Res Pl-ASCE 130(3):232–242CrossRef
go back to reference McKay MD (1988) Sensitivity and uncertainty analysis using a statistical sample of input values. In: Ronen Y (ed) Uncertainty analysis. CRC Press, Boca Raton, pp 145–186 McKay MD (1988) Sensitivity and uncertainty analysis using a statistical sample of input values. In: Ronen Y (ed) Uncertainty analysis. CRC Press, Boca Raton, pp 145–186
go back to reference Moramarco T, Saltalippi C, Singh VP (2004) Estimation of mean velocity in natural channels based on Chiu’s velocity distribution equation. J Hydraul Eng ASCE 9(1):42–50CrossRef Moramarco T, Saltalippi C, Singh VP (2004) Estimation of mean velocity in natural channels based on Chiu’s velocity distribution equation. J Hydraul Eng ASCE 9(1):42–50CrossRef
go back to reference Rantz SE (1982) Measurement and computation of streamflow: Volume 2. Measurement of stage and discharge. Geological Survey Water-Supply Paper 2175, US Government Printing Office, Washington, DC Rantz SE (1982) Measurement and computation of streamflow: Volume 2. Measurement of stage and discharge. Geological Survey Water-Supply Paper 2175, US Government Printing Office, Washington, DC
go back to reference Salas JD, Shin HS (1999) Uncertainty analysis of reservoir sedimentation. J Hydraul Eng ASCE 125(4):339–350CrossRef Salas JD, Shin HS (1999) Uncertainty analysis of reservoir sedimentation. J Hydraul Eng ASCE 125(4):339–350CrossRef
go back to reference Sivapragasam C, Mutill N (2005) Discharge rating curve extension—a new approach. Water Resour Manag 19:505–520CrossRef Sivapragasam C, Mutill N (2005) Discharge rating curve extension—a new approach. Water Resour Manag 19:505–520CrossRef
go back to reference Smith RE, Goodrich DC (2000) Model for rainfall excess patterns on randomly heterogeneous areas. J Hydrol Eng-ASCE 5(4):355–362CrossRef Smith RE, Goodrich DC (2000) Model for rainfall excess patterns on randomly heterogeneous areas. J Hydrol Eng-ASCE 5(4):355–362CrossRef
go back to reference Tung YK, Mays LW (1981) Risk models for flood levee design. Water Resour Res 17(4):833–841CrossRef Tung YK, Mays LW (1981) Risk models for flood levee design. Water Resour Res 17(4):833–841CrossRef
go back to reference Tung YK, Yen BC (2005) Hydrosystems engineering reliability assessment and risk analysis. McGraw-Hill, New York Tung YK, Yen BC (2005) Hydrosystems engineering reliability assessment and risk analysis. McGraw-Hill, New York
go back to reference Yeh KC, Tung YK (1993) Uncertainty and sensitivity analyses of pit-migration model. J Hydraul Eng ASCE 119(2):262–283CrossRef Yeh KC, Tung YK (1993) Uncertainty and sensitivity analyses of pit-migration model. J Hydraul Eng ASCE 119(2):262–283CrossRef
Metadata
Title
Uncertainties in the Methods of Flood Discharge Measurement
Authors
Yen-Chang Chen
Yung-Chia Hsu
Kuang-Ting Kuo
Publication date
01-01-2013
Publisher
Springer Netherlands
Published in
Water Resources Management / Issue 1/2013
Print ISSN: 0920-4741
Electronic ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-012-0174-2

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