Inverse Transient Analysis in Pipe Networks
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Volume 120, Issue 8
Abstract
Modern monitoring devices can inexpensively extract a huge amount of data from water‐distribution systems through measurements of pressure (and sometimes flows). These data can be used in algorithms for transient analysis, time‐lagged calculations, inverse calculations, and event detection to continuously determine the calibration and the general state of health of the distribution system. The last three calculations depend on the first. The most useful of those three is the inverse calculation, which can calibrate while determining leaks or unauthorized use. A key to efficient calculation is the adjoint solution of the system (generally easier than the transient analysis) to find gradient data and a Jacobian matrix. These are used to find a Hessian matrix, which is used in the Levenberg‐Marquardt method to adjust parameters so as to minimize the difference between calculated and measured heads. The adjoint method is also used to compute sensitivities, which are valuable in judging the quality of the solution.
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References
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Published In
Journal of Hydraulic Engineering
Volume 120 • Issue 8 • August 1994
Pages: 934 - 955
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 8, 1993
Published online: Aug 1, 1994
Published in print: Aug 1994
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