Adjoint Sensitivity Analysis of Contaminant Concentrations in Water Distribution Systems
Publication: Journal of Engineering Mechanics
Volume 137, Issue 1
Abstract
Sensitivity analysis is used to determine how a system state or a model output changes due to a change in the value of a system parameter or a model input. We present the adjoint approach for determining the sensitivity of the concentration of a contaminant in a water distribution system to a change in a system parameter such as the location of the source of contamination, the reaction rate of the contaminant, and others. With the adjoint method, the sensitivity of the model output to any number of parameters can be obtained with one simulation of the adjoint model. If the number of parameters of interest exceeds the number of model outputs for which the sensitivity is desired, the adjoint method is more efficient than traditional direct methods of calculating sensitivities. We develop the adjoint equations for water quality in a water distribution system, verify the adjoint-based sensitivity equation using an analytical example, and demonstrate the numerical calculation of adjoint sensitivities using EPANET.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 137 • Issue 1 • January 2011
Pages: 31 - 39
Copyright
© 2011 ASCE.
History
Received: May 27, 2009
Accepted: Jun 18, 2010
Published online: Jun 21, 2010
Published in print: Jan 2011
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