Modeling of Drinking Water Distribution Networks Using Stochastic Demand

Residential water demand is one of the most difficult parameters to determine when modeling drinking water distribution networks. It has been proven to be a stochastic process that can be characterized as a series of rectangular pulses with a set intensity, duration and frequency. These parameters c...

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Vydané v:Water resources management Ročník 26; číslo 7; s. 1779 - 1792
Hlavní autori: Alcocer-Yamanaka, Victor H., Tzatchkov, Velitchko G., Arreguin-Cortes, Felipe I.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht Springer Netherlands 01.05.2012
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Springer Nature B.V
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ISSN:0920-4741, 1573-1650
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Abstract Residential water demand is one of the most difficult parameters to determine when modeling drinking water distribution networks. It has been proven to be a stochastic process that can be characterized as a series of rectangular pulses with a set intensity, duration and frequency. These parameters can be determined using stochastic models such as the Neyman-Scott Rectangular Pulse (NSRP) model. The NSRP model is based on the solution of a non-linear optimization problem. This solution involves theoretical moments that represent the synthetic demand series (equiprobable) and the observed moments (field measurements) that statistically establish the measured demand series. The NSRP model has been applied for residential demand, and the results have been published. However, this model has not been validated for a real distribution network or compared with traditional methods. The present study compared the results of synthetic stochastic demand series, which were calculated using the NSRP model, applied to the determination of pressures, flow rates and leaks; to the results obtained using traditional simulation methods, which use the curve of hourly variation in demand, and to actual pressure and flow rate measurements. The Humaya sector of Culiacan, Sinaloa, Mexico, was used as the study area.
AbstractList Residential water demand is one of the most difficult parameters to determine when modeling drinking water distribution networks. It has been proven to be a stochastic process that can be characterized as a series of rectangular pulses with a set intensity, duration and frequency. These parameters can be determined using stochastic models such as the Neyman-Scott Rectangular Pulse (NSRP) model. The NSRP model is based on the solution of a non-linear optimization problem. This solution involves theoretical moments that represent the synthetic demand series (equiprobable) and the observed moments (field measurements) that statistically establish the measured demand series. The NSRP model has been applied for residential demand, and the results have been published. However, this model has not been validated for a real distribution network or compared with traditional methods. The present study compared the results of synthetic stochastic demand series, which were calculated using the NSRP model, applied to the determination of pressures, flow rates and leaks; to the results obtained using traditional simulation methods, which use the curve of hourly variation in demand, and to actual pressure and flow rate measurements. The Humaya sector of Culiacan, Sinaloa, Mexico, was used as the study area.
Residential water demand is one of the most difficult parameters to determine when modeling drinking water distribution networks. It has been proven to be a stochastic process that can be characterized as a series of rectangular pulses with a set intensity, duration and frequency. These parameters can be determined using stochastic models such as the Neyman-Scott Rectangular Pulse (NSRP) model. The NSRP model is based on the solution of a non-linear optimization problem. This solution involves theoretical moments that represent the synthetic demand series (equiprobable) and the observed moments (field measurements) that statistically establish the measured demand series. The NSRP model has been applied for residential demand, and the results have been published. However, this model has not been validated for a real distribution network or compared with traditional methods. The present study compared the results of synthetic stochastic demand series, which were calculated using the NSRP model, applied to the determination of pressures, flow rates and leaks; to the results obtained using traditional simulation methods, which use the curve of hourly variation in demand, and to actual pressure and flow rate measurements. The Humaya sector of Culiacan, Sinaloa, Mexico, was used as the study area.[PUBLICATION ABSTRACT]
Author Alcocer-Yamanaka, Victor H.
Arreguin-Cortes, Felipe I.
Tzatchkov, Velitchko G.
Author_xml – sequence: 1
  givenname: Victor H.
  surname: Alcocer-Yamanaka
  fullname: Alcocer-Yamanaka, Victor H.
  organization: Mexican Institute of Water Technology
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  givenname: Velitchko G.
  surname: Tzatchkov
  fullname: Tzatchkov, Velitchko G.
  email: velitchk@tlaloc.imta.mx
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  surname: Arreguin-Cortes
  fullname: Arreguin-Cortes, Felipe I.
  organization: Comision Nacional del Agua
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Issue 7
Keywords Residential water demand
Water distribution network models
Neyman-Scott Rectangular Pulse (NSRP) model
Stochastic water demand
simulation
pressure
networks
North America
frequency
stochastic models
solution
optimization
water resource management
drinking water
stochastic processes
methodology
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PublicationSubtitle An International Journal - Published for the European Water Resources Association (EWRA)
PublicationTitle Water resources management
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References Rodriguez-IturbeICoxDEIshamVSome models for rainfall based on stochastic point processProc R Soc London1987A 410269288
Tzatchkov V (2007) Datos Básicos. Manual de diseño de agua potable, alcantarillado y saneamiento, Subdirección General e Infraestructura Hidráulica Urbana e Industrial-Gerencia de Normas Técnicas-Comisión Nacional del Agua- Instituto Mexicano de Tecnología del Agua, Third Edition, p 89 (in Spanish)
Alcocer-Yamanaka, V, Tzatchkov, V. (2004) Estudio de la variación estocástica de la demanda en redes de agua potable. Instituto Mexicano de Tecnología del Agua. Research project report (in Spanish).
Alcocer-YamanakaVTzatchkovVBourguettVDesagregación temporal de lecturas acumuladas de consumo de agua potable por medio de métodos estocásticosIntersci (Venezuela)20083310725732(in Spanish)
Rodriguez-IturbeIGuptaVWaymireEScale considerations in the modeling of temporal rainfallWater Resour Res198420111611161910.1029/WR020i011p01611
Guercio R, Magini R, Pallavicini I (2001) Instantaneous residencial water demand as stochastic point process. Water Resources Management. Brebbia et al. (Eds) WIT Press, pp 129–138
Feliciano D (2005) Análisis y caracterización estocástica del consumo de agua potable en viviendas de Culiacán, Sinaloa, MSc Thesis, UNAM (in Spanish)
Buchberger SG, Li Z, Tzatchkov VG (2003c) Hydraulic characterization of pipe network subject to stochastic water demands, Water Resources Management. II, Editor: C.A. Brebbia, WIT Press, Southampton, Boston, 2003, pp 161–170
Alcocer-Yamanaka V, Tzatchkov V, Zheng W (2009b) Spectral analysis of instantaneous residential water demand series, Integrating Water Systems - Computing and Control in the Water Industry (CCWI), CRCPress/A.A. Balkema Publishers – Taylor & Francis Group, Joby Boxall and Cêdo Maksimović - Editors 2009, Sheffield, UK. pp 503–508
Alcocer-Yamanaka V, Aldama A, Tzatchkov V, Espinosa A, Arreguín F (2009a) Análisis espectral de registros de consumo doméstico. Ing. Hidraul. en México, volume XXIV, num. 4, Oct–Dec 2009 (in Spanish)
Mellor D (2007) Generalized Neyman-Scott model, Version 3.3.1 beta. GNU (General Public License), Copyright 1989, 1991 Free Software Foundation Inc, Cambridge, MA, USA
Tzatchkov V, Alcocer-Yamanaka V, Arreguín CF, Feliciano G (2005) Medición y caracterización estocástica de la demanda instantánea de agua potable. Ing. Hidraul. en México, Vol. XX, No.1, Jan–March 2005 (in Spanish)
Alcocer-Yamanaka V, Tzatchkov V, Arreguín CF (2004) Modelo de calidad del agua en redes de distribución. Ing. Hidraul. en México. volume XIX, num. 2. April–June 2004 (in Spanish)
AlvisiSFranchiniMMarinelliAA stochastic model for representing drinking water demand at residential levelWater Resour Manag200317319722210.1023/A:1024100518186
Buchberger SG, Li Z, Tzatchkov VG (2003b) Hydraulic behavior of pipe networks subject to random water demands, World Water & Environmental Resources Congress 2003, Philadelphia, PA, June 23 to 26, 2003
Alcocer-Yamanaka V, Tzatchkov V (2003) Modelo de transporte de sustancias en flujo no permanente en redes de agua potable. Instituto Mexicano de Tecnología del Agua–Comisión Nacional del Agua. Research project report (in Spanish).
Alcocer-Yamanaka V, Tzatchkov V, García R, Buchberger S, Arreguín F, León T (2008a) Modelación estocástica del consumo doméstico empleando el esquema de Neyman-Scott. Ing. Hidraul. en México, volume XXIII, num. 3, July–Sept 2008, pp. 105–121 (in Spanish)
Buchberger SG, Carter JT, Lee Y, Schade TG (2003a) Random demands, travel times, and water quality in deadends. AWWA Research Foundation, 2003
EntekhabiDRodríguez-IturbeIEaglesonPProbabilistic representation of the temporal rainfall process by a modified Neyman-Scott rectangular pulses model: parameter estimation and validationWater Resour Res198925229530210.1029/WR025i002p00295
Alcocer-Yamanaka V, Tzatchkov V (2002) Implementación y Calibración de un modelo de calidad del agua en sistemas de agua potable. Instituto Mexicano de Tecnología del Agua–Comisión Nacional del Agua. Research project report (in Spanish)
Nadimpalli G, Buchberger S (2003) Estimation of parameters for Poisson pulse model of residential water demands. Technical report, Deparment of Civil and Environmental Engineering, University of Cincinnati, p 43.
Tzatchkov V, Alcocer-Yamanaka YV, Arreguín CF (2004) Decaimiento del cloro por reacción con el agua en redes de distribución. Ing. Hidraul. en México volume XIX, num. 1. Jan–March 2004 (in Spanish)
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Bazaraa M, Sherali H, Shetty CM (1993) Nonlinear programming: theory and algorithms. Wiley
Alcocer-Yamanaka V (2007) Flujo estocástico y transporte en redes de distribución de agua potable, PhD Thesis, Universidad Nacional Autónoma de México, p 240 (in Spanish)
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References_xml – reference: Alcocer-Yamanaka V, Tzatchkov V, Zheng W (2009b) Spectral analysis of instantaneous residential water demand series, Integrating Water Systems - Computing and Control in the Water Industry (CCWI), CRCPress/A.A. Balkema Publishers – Taylor & Francis Group, Joby Boxall and Cêdo Maksimović - Editors 2009, Sheffield, UK. pp 503–508
– reference: EntekhabiDRodríguez-IturbeIEaglesonPProbabilistic representation of the temporal rainfall process by a modified Neyman-Scott rectangular pulses model: parameter estimation and validationWater Resour Res198925229530210.1029/WR025i002p00295
– reference: Mellor D (2007) Generalized Neyman-Scott model, Version 3.3.1 beta. GNU (General Public License), Copyright 1989, 1991 Free Software Foundation Inc, Cambridge, MA, USA
– reference: Alcocer-Yamanaka V, Tzatchkov V (2003) Modelo de transporte de sustancias en flujo no permanente en redes de agua potable. Instituto Mexicano de Tecnología del Agua–Comisión Nacional del Agua. Research project report (in Spanish).
– reference: Guercio R, Magini R, Pallavicini I (2001) Instantaneous residencial water demand as stochastic point process. Water Resources Management. Brebbia et al. (Eds) WIT Press, pp 129–138
– reference: AlvisiSFranchiniMMarinelliAA stochastic model for representing drinking water demand at residential levelWater Resour Manag200317319722210.1023/A:1024100518186
– reference: Feliciano D (2005) Análisis y caracterización estocástica del consumo de agua potable en viviendas de Culiacán, Sinaloa, MSc Thesis, UNAM (in Spanish)
– reference: Alcocer-Yamanaka V (2007) Flujo estocástico y transporte en redes de distribución de agua potable, PhD Thesis, Universidad Nacional Autónoma de México, p 240 (in Spanish)
– reference: Rodriguez-IturbeIGuptaVWaymireEScale considerations in the modeling of temporal rainfallWater Resour Res198420111611161910.1029/WR020i011p01611
– reference: Nadimpalli G, Buchberger S (2003) Estimation of parameters for Poisson pulse model of residential water demands. Technical report, Deparment of Civil and Environmental Engineering, University of Cincinnati, p 43.
– reference: KiyaFMurakawaSDesign load for water supply in buildings1989A.A. Balkema/RotterdamTokyo
– reference: Buchberger SG, Li Z, Tzatchkov VG (2003b) Hydraulic behavior of pipe networks subject to random water demands, World Water & Environmental Resources Congress 2003, Philadelphia, PA, June 23 to 26, 2003
– reference: Tzatchkov V (2007) Datos Básicos. Manual de diseño de agua potable, alcantarillado y saneamiento, Subdirección General e Infraestructura Hidráulica Urbana e Industrial-Gerencia de Normas Técnicas-Comisión Nacional del Agua- Instituto Mexicano de Tecnología del Agua, Third Edition, p 89 (in Spanish)
– reference: Alcocer-Yamanaka, V, Tzatchkov, V. (2004) Estudio de la variación estocástica de la demanda en redes de agua potable. Instituto Mexicano de Tecnología del Agua. Research project report (in Spanish).
– reference: BuchbergerSWuLA model for instantaneous residential water demandsJ Hydraul Eng ASCE1995121323224610.1061/(ASCE)0733-9429(1995)121:3(232)
– reference: Tzatchkov V, Alcocer-Yamanaka YV, Arreguín CF (2004) Decaimiento del cloro por reacción con el agua en redes de distribución. Ing. Hidraul. en México volume XIX, num. 1. Jan–March 2004 (in Spanish)
– reference: Alcocer-Yamanaka V, Tzatchkov V (2002) Implementación y Calibración de un modelo de calidad del agua en sistemas de agua potable. Instituto Mexicano de Tecnología del Agua–Comisión Nacional del Agua. Research project report (in Spanish)
– reference: Alcocer-YamanakaVTzatchkovVBourguettVDesagregación temporal de lecturas acumuladas de consumo de agua potable por medio de métodos estocásticosIntersci (Venezuela)20083310725732(in Spanish)
– reference: Buchberger SG, Carter JT, Lee Y, Schade TG (2003a) Random demands, travel times, and water quality in deadends. AWWA Research Foundation, 2003
– reference: Tzatchkov V, Alcocer-Yamanaka V, Arreguín CF, Feliciano G (2005) Medición y caracterización estocástica de la demanda instantánea de agua potable. Ing. Hidraul. en México, Vol. XX, No.1, Jan–March 2005 (in Spanish)
– reference: Bazaraa M, Sherali H, Shetty CM (1993) Nonlinear programming: theory and algorithms. Wiley
– reference: EntekhabiDBrasRParameter estimation and sensitivity analysis for the modified Barlett-Lewis rectangular pulses model of rainfallJ Geophys Res199095D320932100
– reference: Rodriguez-IturbeICoxDEIshamVSome models for rainfall based on stochastic point processProc R Soc London1987A 410269288
– reference: Alcocer-Yamanaka V, Tzatchkov V, Arreguín CF (2004) Modelo de calidad del agua en redes de distribución. Ing. Hidraul. en México. volume XIX, num. 2. April–June 2004 (in Spanish)
– reference: Alcocer-Yamanaka V, Aldama A, Tzatchkov V, Espinosa A, Arreguín F (2009a) Análisis espectral de registros de consumo doméstico. Ing. Hidraul. en México, volume XXIV, num. 4, Oct–Dec 2009 (in Spanish)
– reference: Alcocer-Yamanaka V, Tzatchkov V, García R, Buchberger S, Arreguín F, León T (2008a) Modelación estocástica del consumo doméstico empleando el esquema de Neyman-Scott. Ing. Hidraul. en México, volume XXIII, num. 3, July–Sept 2008, pp. 105–121 (in Spanish)
– reference: Buchberger SG, Li Z, Tzatchkov VG (2003c) Hydraulic characterization of pipe network subject to stochastic water demands, Water Resources Management. II, Editor: C.A. Brebbia, WIT Press, Southampton, Boston, 2003, pp 161–170
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SubjectTerms Atmospheric Sciences
Civil Engineering
Demand
Drinking water
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Environment
Exact sciences and technology
Flow measurement
Flow rate
Flow rates
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Marketing
Mathematical models
Networks
Residential
Sea level
Software
Stochastic models
Stochastic processes
Stochasticity
Studies
system optimization
Water demand
Water distribution
Water resources
Water resources management
Water supply engineering
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