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Published byCornelius Beasley Modified over 9 years ago
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Uncertainty Calculation for the Network Leakage Reduction Monitoring Model Dave Lander and Andrew Laughton 3 rd December 2002
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Overview Uncertainty estimation now complete Preliminary report with Shirley Coleman for independent review No major issues identified All sources of uncertainty have been included Standard leakage rates for mains and services (“NLT”) Pressure MEG content and its impact on leakage (“MEG”) Pit/Spun (“Asset”)
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Standard Leakage Rates (“NLT”) No change in methodology since last meeting Standardised on 500,001 trials for final calculation Mains only 17.6% (90% confidence level) Services only 0.6% (90% confidence level)
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MEG addition and impact (“MEG”) No change in methodology since last meeting 20,001 trials Overall impact 4.6% (90% confidence level) Pc and Sc (fraction that is Lead-yarn treated) 0.5 % (90% confidence level) MEG saturation level 1.2 % (90% confidence level) Ly (fraction that receive MEG treatment) 2.3 % (90% confidence level) Fm (MEG leakage saturation factor) 3.6 % (90% confidence level)
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Pressure No change in methodology since last meeting 20,001 trials P (average system pressure) 4.5 % (90% confidence level)
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Overall uncertainty contributions % Uncertainty (90% confidence) Mains17.6 Services0.6 MEG4.6 Pressure4.5 Overall18.8
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Pit/Spun cast distribution (“Asset”) During the 2002 NLT tests a number of pit cast pipes were found to be spun cast Original database treated spun and pit as cast iron pipe Probability that pit cast pipe is actually pit cast Pit cast 3” / spun cast 5” Pit cast 4-5” / spun cast 5” Pit cast 6-7” / spun cast 6-7” Pit cast 8-11” / spun cast >7” Pit cast >12” / spun cast >7” Probability 80% +/-20% (uniform distribution)
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Overall uncertainty contributions % Uncertainty (90% confidence) Mains17.6 Services0.6 MEG4.6 Pressure4.5 Asset-4.2 Overall18.818.3 Uncertain pit cast is being replaced with less uncertain spun cast
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Sampling Building up a network from parts of a large population of pipes Some parts are leaky, other are not
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Sampling Building up a network from parts of a large population of pipes Some parts are leaky, other are not Variability is another source of uncertainty Present even if NLT leakage data were exact Network size dependent At LDZ level, the effect is small enough to be ignored 3.6% Overall uncertainty 18.3 – 18.6% (90% confidence level)
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Summary All sources of uncertainty identified and estimated Overall uncertainty is 18.3% (90% confidence level) Dominated by uncertainty in the standard leakage rates
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