Rsn. Datta et K. Sridharan, PARAMETER-ESTIMATION IN WATER-DISTRIBUTION SYSTEMS BY LEAST-SQUARES, Journal of water resources planning and management, 120(4), 1994, pp. 405-422
The weighted-least-squares method using sensitivity-analysis technique
is proposed for the estimation of parameters in water-distribution sy
stems. The parameters considered are the Hazen-Williams coefficients f
or the pipes. The objective function used is the sum of the weighted s
quares of the differences between the computed and the observed values
of the variables. The weighted-least-squares method can elegantly han
dle multiple loading conditions with mixed types of measurements such
as heads and consumptions, different sets and number of measurements f
or each loading condition, and modifications in the network configurat
ion due to inclusion or exclusion of some pipes affected by valve oper
ations in each loading condition. Uncertainty in parameter estimates c
an also be obtained. The method is applied for the estimation of param
eters in a metropolitan urban water-distribution system in India.