TECHNICAL PAPERS
Nov 1, 1998

Sampling Design Methods for Water Distribution Model Calibration

Publication: Journal of Water Resources Planning and Management
Volume 124, Issue 6

Abstract

Field sampling is sometimes performed to support modeling activities—specifically, to estimate the parameters of a mathematical model or, more accurately, to calibrate the model. In this case, a relevant question for field samplings design is “how to maximize the confidence in estimated parameter values, given a level of sampling effort?” We approach this question using established ideas in parameter estimation and sampling design theory and propose general sensitivity-based methods to rank the locations and types of measurements for estimating the parameters of a water distribution network model. The proposed methods are suboptimal, yet practical, and are applied to select good tracer and pressure measurement locations for estimating pipe roughness coefficients. These particular results suggest that, when compared to pressure measurements, tracer measurements can be informative for calibrating network hydraulic parameters but one must take more care in selecting their location. Using the proposed methods, a selection of both tracer and pressure measurements improves estimation confidence by a factor of 2, over that obtained using tracer or pressure measurements alone.

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References

1.
Ahlfeld, D. P., Mulvey, J. M., Pinder, G. F., and Wood, E. F.(1988). “Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory: 1. Model development.”Water Resour. Res., 24(3), 431–441.
2.
Bard, Y. (1974). Nonlinear parameter estimation. Academic Press, Inc., San Diego, Calif.
3.
Beck, M. B.(1987). “Water quality modeling: A review of the analysis of uncertainty.”Water Resour. Res., 23(8), 1393–1442.
4.
Boulos, P. F., and Wood, D. J.(1990). “Explicit calibration of pipe-network parameters.”J. Hydr. Engrg., ASCE, 116(11), 1329–1344.
5.
Boulos, P. F., and Wood, D. J.(1991). “An explicit algorithm for calculating operating parameters for water networks.”Civ. Engrg. Sys., 8, 115–122.
6.
Bush, C. A. (1995). “Hydraulic and water quality measurement comparison for water distribution network model calibration,” MS thesis, Univ. of Cincinnati, Cincinnati, Ohio.
7.
Clark, R. M., Grayman, W. M., Goodrich, J. A., Deininger, R. A., and Hess, A. F.(1991). “Field-testing distribution water quality models.”J. AWWA, 83(7), 67–75.
8.
Clark, R. M., Grayman, W. M., Males, R. M., and Hess, A. F.(1993). “Modeling contaminant propagation in drinking water distribution systems.”J. Envir. Engrg., ASCE, 119(2), 349–364.
9.
“Distribution system requirements for fire protection.” (1986). AWWA Manual M31, Am. Water Works Assn., Denver, Colo.
10.
Grayman, W. M., Clark, R. M., and Males, R. M.(1988). “Modeling distribution system water quality: Dynamic approach.”J. Water Resour. Plng. and Mgmt., ASCE, 114(3), 295–312.
11.
Kennedy, M. S., Sarikelle, S., and Suravallop, K.(1991). “Calibrating hydraulic analyses of distribution systems using fluoride tracer studies.”J. AWWA, 83(7), 54–59.
12.
Knopman, D. S., and Voss, C. I.(1987). “Behavior of sensitivities in the one-dimensional advection-dispersion equation: Implications for parameter estimation and sampling design.”Water Resour. Res., 23(2), 253–272.
13.
Lansey, K. E., and Basnet, C.(1991). “Parameter estimation for water distribution networks.”J. Water Resour. Plng. and Mgmt., ASCE, 117(1), 126–144.
14.
Lee, B. H., and Deininger, R. A.(1992). “Optimal locations of monitoring stations in water distribution system.”J. Envir. Engrg., ASCE, 118(1), 4–16.
15.
Leis, J., and Kramer, M.(1988). “ODESSA—An ordinary differential equation solver with explicit simultaneous sensitivity analysis.”ACM Trans. on Math. Software, 14(1), 61–67.
16.
Liggett, J. A., and Chen, L.-C.(1994). “Inverse transient analysis in pipe networks.”J. Hydr. Engrg., ASCE, 120(8), 934–955.
17.
Loaiciga, H. A., Charbeneau, R. J., Everett, L. G., Fogg, G. E., Hobbs, B. F., and Rouhani, B. F.(1992). “Review of ground-water quality monitoring network design.”J. Hydr. Engrg., ASCE, 118(1), 11–37.
18.
Males, R. M., Grayman, W. M., and Clark, R. M.(1988). “Modeling water quality in distribution systems.”J. Water Resour. Plng. and Mgmt., ASCE, 114(2), 197–209.
19.
Ormsbee, L. E.(1989). “Implicit network calibration.”J. Water Resour. Plng. and Mgmt., ASCE, 115(2), 243–257.
20.
Ormsbee, L. E., and Wood, D. J.(1986). “Explicit pipe network calibration.”J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 166–182.
21.
Rao, H. S., and Bree, D.(1977). “Extended period simulation of water systems—Part A.”J. Hydr. Div., ASCE, 103(2), 97–108.
22.
Rossman, L., and Boulos, P.(1993). “Discrete volume-element method for network water-quality models.”J. Water Resour. Plng. and Mgmt., ASCE, 115(9), 505–517.
23.
Rossman, L., Clark, R., and Grayman, W.(1994). “Modeling chlorine residuals in drinking water distribution systems.”J. Envir. Engrg., ASCE, 120(4), 803–820.
24.
Shamir, U., and Howard, R. (1968). “Water distribution system analysis.”J. Hydr. Div., ASCE, 94(1), 219–234,
25.
Stukel, T. A., Reed, F. C., Greenberg, E. R., and Jacobs, N. J.(1987). “Comparing three sampling designs for monitoring coliforms in small community water systems.”J. AWWA, 79(11), 50–54.
26.
Swamee, P. K., and Jain, A. K.(1976). “Explicit equations for pipe flow problems.”J. Hydr. Div., ASCE, 102(5), 657–654.
27.
Sykes, J. F., Wilson, J. L., and Andrews, R. W.(1985). “Sensitivity analysis for steady-state groundwater flow using adjoint operators.”Water Res. Res., 21(3), 359–371.
28.
Walski, T. M.(1983). “Technique for calibrating network models.”J. Water Resour. Plng. and Mgmt., ASCE, 109(4), 360–372.
29.
Walski, T. M.(1985). “Assuring accurate model calibration.”J. AWWA, 77(12), 38–41.
30.
Walski, T. M.(1986). “Case study: Pipe network model calibration issues.”J. Water Resour. Plng. and Mgmt., ASCE, 112(2), 238–249.
31.
Wood, D. J. (1980). User's manual: Computer analysis of flow in pipe networks including extended periods. Ofc. of Continuing Educ. and Extension of the Col. of Engrg. of the Univ. of Kentucky, Lexington, Ky.
32.
Wood, D. J., and Rayes, A. (1981). “Reliability of algorithms for pipe network analysis.”J. Hydr. Div., ASCE.

Information & Authors

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Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 124Issue 6November 1998
Pages: 334 - 344

History

Published online: Nov 1, 1998
Published in print: Nov 1998

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Authors

Affiliations

Cheryl A. Bush
Cincinnati Water Works, Engrg. Div., 4747 Spring Grove Ave., Cincinnati, OH 45232; formerly, Grad. Res. Asst., Dept. of Civ. and Envir. Engrg., Univ. of Cincinnati, Cincinnati, OH 45221.
James G. Uber
Assoc. Prof., Dept. of Civ. and Envir. Engrg., P.O. Box 210071, Univ. of Cincinnati, Cincinnati, OH 45221-0071; corresponding author. E-mail: [email protected]

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