Technical Papers
Jun 26, 2020

Application of Hybrid Flow Data and Dimensional Analysis to Gated-Culvert Flow Estimation

Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 9

Abstract

A calibrated flow rating equation is often used to determine the flow rate through a hydraulic structure as a convenient and relatively inexpensive method to avoid the difficulties of direct discharge measurements in an open channel. In South Florida, there are hundreds of gated culverts, where accurate and quick estimation of discharge in real time is critical for effective water resource management. Flow through culverts under various conditions and geometries has been studied extensively; however, studies of stage-discharge relationships through gate-controlled culverts are rare and, to the authors’ knowledge, not discussed in any open-channel hydraulics books, relevant journals, or design manuals. In this paper, two approaches to improve the stage-discharge relationships at gated culverts are presented, and case studies demonstrate their successful and cost-effective use: first, the application of computational fluid dynamics (CFD) for flow data simulation to supplement field measurements to resolve data limitations and, second, the application of dimensional analysis to improve gated-culvert rating equations. The proposed nondimensional flow rating approach is useful for data planning and consistency testing of hybrid data (field flow data and CFD results) and reduces the flow types occurring at a culvert, making the flow classification less complex while maintaining reasonable rating accuracy within 6% of field flow measurements.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code generated or used during the study (field measurements, CFD simulated flow results) are available from the corresponding author by request.

Acknowledgments

The authors recognize the South Florida Water Management District Streamgauging Unit for their excellence in planning, collecting, quality assurance, quality control, and archiving of the field flow measurements.

References

Ansar, M., and Z. Chen. 2009. “Generalized flow rating equations at prototype gated spillways.” J. Hydraul. Eng. 135 (7): 602–608. https://doi.org/10.1061/(ASCE)0733-9429(2009)135:7(602).
Bodhaine, G. L. 1968. “Measurement of peak discharge at culverts by indirect methods.” In Water resources investigations. Washington, DC: USGS.
Chin, D. A. 2013. “Hydraulic analysis and design of pipe culverts: USGS versus FHWA.” J. Hydraul. Eng. 139 (8): 886–893. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000748.
Coz, L. J. 2012. A literature review of methods for estimating the uncertainty associated with stage-discharge relations.. Lyon, France: Cemagref.
Ettema, R., and M. Muste. 2002. Scale-effect trends in hydraulic models of flows at a dike in a flat-bed channel. Iowa City, IA: Univ. of Iowa.
Haun, S., N. R. B. Olsen, and R. Feurich. 2011. “Numerical modeling of flow over trapezoidal broad-crested weir.” Eng. Appl. Comput. Fluid Mech. 5 (3): 397–405. https://doi.org/10.1080/19942060.2011.11015381.
Henderson, F. M. 1966. Open channel flow. New York: Macmillan.
Hirt, C. W., and B. D. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Horowitz, M., and E. Matys. 2015. South Florida Water Management District dimensional analysis-based ratings for gated circular and box culverts.. Holden, MA: Alden Research Laboratory.
Kirkgoz, M. S., M. S. Akoz, and A. A. Oner. 2009. “Numerical modeling of flow over a chute spillway.” J. Hydraul. Res. 47 (6): 790–797. https://doi.org/10.3826/jhr.2009.3467.
Kumar, V., and S. Sen. 2016. “Estimation of uncertainties in stage-discharge curve for an experimental Himalayan watershed.” In Proc., American Geophysical Union, Fall Meeting Abstracts. Washington, DC: American Geophysical Union.
McMahon, T. A., and M. C. Peel. 2019. “Uncertainty in stage-discharge rating curves: Application to Australian hydrologic reference stations data.” Hydrol. Sci. J. 64 (3): 255–275. https://doi.org/10.1080/02626667.2019.1577555.
Morvan, H. P. 2005. “Automating CFD for non-experts.” J. Hydroinf. 7 (1): 17–29. https://doi.org/10.2166/hydro.2005.0003.
Normann, J. M., R. J. Houghtalen, and W. J. Johnson. 1985. Hydraulic design of highway culverts: Hydraulic design series no. 5. 2nd ed. Washington, DC: Federal Highway Administration.
Normann, J. M., R. J. Houghtalen, and W. J. Johnson. 2001. Hydraulic design of highway culverts: Hydraulic design series no. 5. 2nd ed. Washington, DC: Federal Highway Administration.
Oberg, K. A., S. E. Morlock, and W. S. Caldwell. 2005. Quality-assurance plan for discharge measurements using acoustic Doppler current profilers.. Washington, DC: USGS.
Pedersen, Ø., J. Aberle, and N. Rüther. 2019. “Hydraulic scale modelling of the rating curve for a gauging station with challenging geometry.” Hydrol. Res. 50 (3): 825–836. https://doi.org/10.2166/nh.2019.044.
Pedersen, Ø., G. Fleit, E. Pummer, B. P. Tullis, and N. Rüther. 2018. “Reynolds-averaged navier-stokes modeling of submerged ogee weirs.” J. Irrig. Drain. Eng. 144 (1): 04017059. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001266.
Pedersen, Ø., and N. Rüther. 2019. “CFD modeling as part of a hybrid modeling case study for a gauging station with challenging hydraulics.” Eng. Appl. Comput. Fluid Mech. 13 (1): 265–278. https://doi.org/10.1080/19942060.2019.1581661.
Sarker, M. A., and D. G. Rhodes. 2004. “Calculation of free-surface profile over a rectangular broad-crested weir.” Flow Meas. Instrum. 15 (4): 215–219. https://doi.org/10.1016/j.flowmeasinst.2004.02.003.
SFWMD (South Florida Water Management District). 2015. Atlas of flow computations at hydraulic structures in the South Florida Water Management District. West Palm Beach, FL: SFWMD.
Tabbara, M., J. Chatila, and R. Awwad. 2005. “Computational simulation of flow over stepped spillways.” Comput. Struct. 83 (27): 2215–2224. https://doi.org/10.1016/j.compstruc.2005.04.005.
USACE. 2010. Standards and procedures for referencing project elevation grades to nationwide vertical datum. Washington, DC: USACE.
Yang, J., P. Andreasson, P. Teng, and Q. Xie. 2019. “The past and present of discharge capacity modeling for spillways—A Swedish perspective.” Fluids 4 (1): 10. https://doi.org/10.3390/fluids4010010.
Yen, B. C. 1992. Channel flow resistance: Centennial of Manning’s formula. Highlands Ranch, CO: Water Resources Publications.
Zeng, J., M. Ansar, Z. Rakib, M. Wilsnack, and Z. Chen. 2019. “Applications of computational fluid dynamics to flow rating development at complex prototype hydraulic structures: Case study.” J. Irrig. Drain. Eng. 145 (12): 05019009. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001417.
Zeng, J., M. Ansar, J. Raymond, Z. Rakib, and L. Zhang. 2018. “Automated water control structures flow rating using CFD generated data.” In Proc., World Environmental and Water Resources Congress, 188–196. Reston, VA: ASCE.
Zeng, J., L. Q. Zhang, M. Ansar, E. Damisse, and J. A. Castro-Gonzalez. 2017a. “Applications of computational fluid dynamics to flow ratings at prototype spillways and weirs. I: Data generation and validation.” J. Irrig. Drain. Eng. 143 (1): 04016072. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001112.
Zeng, J., L. Q. Zhang, M. Ansar, E. Damisse, and J. A. Castro-Gonzalez. 2017b. “Applications of computational fluid dynamics to flow ratings at prototype spillways and weirs. II: Framework for planning, data assessment, and flow rating.” J. Irrig. Drain. Eng. 143 (1): 04016073. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001113.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 146Issue 9September 2020

History

Received: Jan 16, 2020
Accepted: Apr 28, 2020
Published online: Jun 26, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 26, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Jie Zeng, M.ASCE [email protected]
Principal Engineer, Hydrology and Hydraulics Bureau, South Florida Water Management District, 3301 Gun Club Rd., West Palm Beach, FL 33406 (corresponding author). Email: [email protected]
Hydraulic Engineer, Ardurra Group, Inc., 8700 West Flagler St., Miami, FL 33174. ORCID: https://orcid.org/0000-0003-1556-0310. Email: [email protected]
Matahel Ansar [email protected]
Section Administrator, Hydrology and Hydraulics Bureau, South Florida Water Management District, 3301 Gun Club Rd., West Palm Beach, FL 33406. Email: [email protected]
Seyed Hajimirzaie, M.ASCE [email protected]
Lead Engineer, Hydrology and Hydraulics Bureau, South Florida Water Management District, 3301 Gun Club Rd., West Palm Beach, FL 33406. Email: [email protected]
Zhiming Chen, M.ASCE [email protected]
Principal Engineer, Operations Section, Operations, Engineering and Construction Bureau, South Florida Water Management District, 3301 Gun Club Rd., West Palm Beach, FL 33406. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share