Unsteady-State Inverse Chlorine Modeling in Pipe Networks
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Volume 127, Issue 8
Abstract
A model that directly determines the required source concentration(s) to meet specified chlorine residuals at selected nodes is developed for unsteady flows. The model considers even, over-, and underdetermined cases in which the number of available equations is equal to, greater than, or less than the number of unknowns, respectively. The model computes the unsteady-state flows and chlorine concentrations in the system first. Then it utilizes the inverse method to determine the required source concentration(s) so that specified residuals at selected nodes match the calculated ones. To verify the model, chlorine concentrations computed by the forward method are input to the inverse model to determine the source concentration(s) in two hypothetical networks. Results show that the model computed accurately the source concentrations for the even and the overdetermined cases, but the results were less than satisfactory for the underdetermined case.
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References
1.
Boulos, P. F., and Wood, D. J. (1990). “Explicit calculation of pipe-network parameters.”J. Hydr. Engrg., ASCE, 116(11), 1329–1344.
2.
Chaudhry, M. H. ( 1993). Open channel flow, Prentice-Hall, Englewood Cliffs, N.J.
3.
Holloway, M. B. ( 1985). “Dynamic pipe network computer model.” PhD thesis, Dept. of Civ. and Envir. Engrg., Washington State Univ., Pullman, Wash.
4.
Holloway, M. B., Chaudhry, M. H., and Karney, B. W. ( 1988). “Modeling of unsteady flow in pipe networks.” Proc., Int. Symp. on Comp. Modeling of Water Distribution Sys., Univ. of Kentucky, Lexington, Ky., 311–322.
5.
Islam, M. R. ( 1995). “Modeling of chlorine concentrations in unsteady flows in pipe networks.” PhD thesis, Washington State Univ., Pullman, Wash.
6.
Islam, M. R., and Chaudhry, M. H. (1998). “Modeling of constituent transport in unsteady flows in pipe networks.”J. Hydr. Engrg., ASCE, 124(11), 1115–1124.
7.
Islam, M. R., Chaudhry, M. H., and Clark, R. M. (1997). “Inverse modeling of chlorine concentration in pipe networks under dynamic conditions.”J. Envir. Engrg., ASCE, 123(10), 1033–1040.
8.
James, A. ( 1993). An introduction to water quality modeling, Wiley, West Sussex, U.K.
9.
Jeppson, R. W. ( 1976). Analysis of flow in pipe networks, Ann Arbor Science, Ann Arbor, Mich.
10.
Liggett, J. A. and Li-Chung Chen. (1994). “Inverse transient analysis in pipe networks.”J. Hydr. Engrg., ASCE, 120(8), 934–955.
11.
Menke, W. ( 1989). Geophysical data analysis: Discrete inverse theory, 2nd Ed., Academic, San Diego.
12.
Murphy, S. B. ( 1985). “Modeling chlorine concentrations in municipal water systems.” MS thesis, Dept. of Civ. Engrg., Montana State Univ., Bozeman, Mont.
13.
Musa, M. ( 1991). “Modeling of chlorine concentration in water supply networks.” MS thesis, Dept. of Civ. and Envir. Engrg., Washington State Univ., Pullman, Wash.
14.
Ormsbee, L. E. (1989). “Implicit network calibration.”J. Water Resour. Plng. and Mgmt., ASCE, 115(2), 243–257.
15.
Ormsbee, L. E., and Wood, D. J. (1986). “Explicit pipe network calibration.”J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 166– 182.
16.
Pudar, R. S., and Liggett, J. A. (1992). “Leaks in pipe networks.”J. Hydr. Engrg., ASCE, 118(7), 1031–1046.
17.
Rossman, L. A. ( 1993). EPANET users' manual, Risk Reduction Engineering Laboratory, EPA, Cincinnati.
18.
Walski, T. M. (1983). “Technique for calibrating network models.”J. Water Resour. Plng. and Mgmt., ASCE, 109(4), 360–372.
19.
Watters, G. Z. ( 1984). Analysis and control of unsteady flow in pipelines, 2nd Ed., Butterworth, Stoneham, Mass.
20.
Wood, D. J., and Charles, C. O. (1972). “Hydraulic network analysis using linear theory.”J. Hydr. Div., ASCE, 98(7), 1157–1170.
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Received: May 14, 1999
Published online: Aug 1, 2001
Published in print: Aug 2001
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