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Neyman-Scott-based water distribution network modelling
Modelación de redes de agua potable basado en el proceso de Neyman-Scott
DOI:
https://doi.org/10.15446/ing.investig.v32n3.35937Keywords:
Residential water demand, network modeling, Neyman-Scott, Rectangular Pulse (NSRP) model (en)Demanda doméstica de agua potable, modelación de redes, método de pulsos rectangulares de Neyman-Scott (es)
Residential water demand is one of the most difficult parameters to determine when modelling drinking water distribution networks. It has been proven to be a stochastic process which can be characterised as a series of rectangular pulses having set intensity, duration and frequency. Such parameters can be determined using stochastic models such as the Neyman-Scott rectangular pulse model (NSRPM). NSRPM is based on resolving a non-linear optimisation problem involving theoretical moments of the synthetic demand series (equiprobable) and of the observed moments (field measurements) statistically establishing the measured demand series. NSRPM has been applied to generating local residential demand. However, this model has not been validated for a real distribution network with residential demand aggregation, or compared to traditional methods (which is dealt with here). This paper compares the results of synthetic stochastic demand series (calculated using NSRPM applied to determining pressure and flow rate) to results obtained using traditional simulation methods using 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 study area.
Uno de los parámetros más difíciles de estimar al modelar las redes de distribución de agua potable es el del consumo doméstico. Se ha demostrado que este sigue un proceso estocástico posible de caracterizar a través de pulsos rectangulares, con ciertas intensidad, duración y frecuencia de arribo, por medio de esquemas estocásticos como el modelo de pulsos rectangulares de Neyman-Scott (Neyman-Scott Rectangular Pulses Model, NSRPM). El esquema NSRPM se basa en la solución de un problema de optimización no lineal que involucra momentos teóricos de las series sintéticas (equiprobables) y los momentos observados (mediciones de campo). Se ha publicado la metodología, así como trabajos orientados a la generación de la demanda en los domicilios, sin embargo no su validación en una red de distribución real, con la conjunción y agregación de las demandas de los domicilios, y su comparación con los métodos tradicionales. En el presente artículo se comparan resultados obtenidos empleando series sintéticas con carácter estocástico, producto del esquema NSRPM aplicado a la determinación de presiones y caudales, con los obtenidos por el método tradicional que utiliza curva de variación horaria de la demanda, y con mediciones de presión y caudal hechas en el sector Humaya, en Culiacán, Sinaloa, México.
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References
Alcocer, V., Flujo estocástico y transporte en redes de distribución de agua potable, PhD thesis, Universidad Nacional Autónoma de México, 2007, 240 pp.
Alcocer, V., Tzatchkov, V., García, R., Buchberger, S., Arreguín, F., León, T., Modelación estocástica del consumo doméstico empleando el esquema de Neyman-Scott. Ingeniería Hidráulica en México, Vol. XXIII, No. 3, 2008a, pp. 105-121.
Alcocer, V., Tzatchkov, V., Bourguett, V., Desagregación temporal de lecturas acumuladas de consumo de agua potable por medio de métodos estocásticos. INTERCIENCIA, Vol. 33, No. 10, 2008b, pp. 725 - 732.
Alcocer, V., Tzatchkov, V., Estimación de parámetros del consumo doméstico de agua potable de lecturas acumuladas. Ingeniería - Investigación y Desarrollo, Vol. X, No. 3, 2009, pp. 239-248.
Alvisi, S., Franchini, M., and Marinelli, A., A stochastic model for representing drinking water demand at residential level. Water Resources Management, Vol. 17, num 3, 2003, pp. 197-222.
Buchberger, S. and Wu, L., A model for instantaneous residential water demands. Journal of Hydraulics Engineering, ASCE, Vol. 121, No. 3, 1995, pp. 232-246.
Buchberger, S.G. Carter, J.T., Y. Lee and Schade. T.G., Random demands, travel times, and water quality in deadends. AWWA Research Foundation. 2003
Guercio, R., Magini, R. and Pallavicini, I., Instantaneous residential water demand as stochastic point process. Water Resources Management, Eds. Brebbia et al., WIT Press, 2001, pp. 129-138
Hernández, D., Pronóstico de la demanda de agua potable, empleando Neyman-Scott, MS Thesis, Universidad Nacional Autónoma de México, 2009, 281 pp.
Entekhabi, D., Bras, R., Parameter estimation and sensitivity analysis for the modified Barlett-Lewis rectangular pulses model of rainfall. Journal of Geophysical Research, Vol. 95, No. D3, 1990, 2093-2100.
Neyman, J. and Scott, E. L., A statistical approach to problems of cosmology. J. Royal Stat. Soc., Ser. B., Vol. 20, 1958, pp. 1-43.
Mellor, D., Generalized Neyman-Scott Model, Version 3.3.1 beta. GNU (General Public License), Free Software Foundation Inc, Cambridge, MA, USA, 2007
Rodríguez-Iturbe, I., Gupta, V. and Waymire, E., Scale considerations in the modeling of temporal rainfall. Water Resources Research, Vol. 20, No. 11, 1984, pp. 1611-1619.
Rodríguez-Iturbe, I., Cox, D. and Isham, V., Some models for rain-fall based on stochastic point process. Proc. R. Soc. London, A 410, 1987, pp. 269-288.
Tzatchkov, V., Alcocer, V., Arreguín, C. F. and Feliciano, G., Medición y caracterización estocástica de la demanda instantánea de agua potable. Ingeniería Hidráulica en México, Vol. XX, No. 1, 2005, pp. 67-76.
Tzatchkov, V., Datos Básicos. Manual de diseño de agua potable, alcantarillado y saneamiento. Comisión Nacional del Agua, Tercera edición, 2007, pp 89.
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Copyright (c) 2012 Víctor Hugo Alcocer Yamanaka, Velitchko G. Tzatchkov
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