TECHNICAL PAPERS
Dec 1, 2008

Nonlinear Extrapolation of Inflow and Infiltration Behavior under Heavy Storms

Publication: Journal of Hydrologic Engineering
Volume 13, Issue 12

Abstract

A two-sample nonlinear heteroscedastic regression model is described and proposed for the purpose of evaluating a sewer basin rehabilitation by quantifying the reduction in rain-derived inflow and infiltration (RDII). The proposed methodology is used at the second stage of RDII studies after RDII volumes of individual rain events are estimated. The proposed methodology utilizes boundary conditions of system capacity and extrapolates the RDII behavior under usually unobserved heavy design storms in short-term flow data series—a common problem in RDII studies. As compared to the commonly used linear models, the proposed methodology offers flexibility in modeling, reasonable extrapolation, and simplicity in interpretation.

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Acknowledgments

The writer thanks Bert Gallaher of CMU, Wayne Miles and Shannon Campbell of CDM, Daniel O’Leary and Reggie Rowe of CH2M HILL, and Kevin Enfinger of ADS for many valuable and educational discussions. The research reported in this paper is partially supported by the funds from U.S. EPA Grant No. CX825607-01-0.

References

Bennett, D., Rowe R., Strum M., Wood D. (1999). Using flow prediction technologies to control sanitary sewer overflows, Water Environmental Research Foundation (WERF), Project 97-CTS-8, Washington, D.C.
Faber, T. E. (1995). Fluid dynamics for physicists, Cambridge University Press, Cambridge, U.K.
Hoadley, B. (1971). “Asymptotic properties of maximum likelihood estimators for the independent not identically distributed case.” Ann. Math. Stat., 42(6), 1977–1991.
Singh, V. P., and Woolhiser, D. A. (2002). “Mathematical modeling of watershed hydrology.” J. Hydrol. Eng., 7(4), 270–292.
Wade, M. G. (2000). “Controlling inflow and infiltration in wastewater collection systems.” Proc., Convergence 2000, ASCE, Kansas City, Mo.
Zhang, Z. (2005). “Flow data, I/I ratio and autoregressive error models.” J. Environ. Eng., 131(3), 343–349.
Zhang, Z. (2007). “Estimating rain derived inflow and infiltration of rainfalls with varying characteristics.” J. Hydraul. Eng., 133(1), 98–105.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 13Issue 12December 2008
Pages: 1125 - 1132

History

Received: Dec 18, 2006
Accepted: Feb 14, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008

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Associate Professor, Dept. of Mathematics and Statistics, Univ. of North Carolina at Charlotte, Charlotte, NC 28223. E-mail: [email protected]

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