Technical Papers
Apr 21, 2015

Quantifying Uncertainty and Reliability in Bridge Scour Estimations

Publication: Journal of Hydraulic Engineering
Volume 141, Issue 7

Abstract

The majority of the bridges in the U.S. National Bridge Inventory (NBI) are built over waterways. Many will experience problems with scour, bank erosion, and channel instability during their design life. A number of studies in the recent past have attempted to quantify the uncertainty in predicting these erosional processes, particularly in pier scour, and developing probabilistic estimates of scour as a means of incorporating uncertainty. However, none of these studies have examined the overall uncertainty in local pier or abutment scour in combination with contraction scour. This study quantifies the model uncertainty in commonly used scour equations as well as parameter uncertainty. The overall reliability of the scour equations is then assessed for the individual components of scour and combined scour. The results lead to a set of scour design factors that are based on the reliability of the design estimate.

Get full access to this article

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

Acknowledgments

This research was conducted as part of NCHRP Project 24-34 under the direction of the Principal Investigator, Dr. Peter Lagasse, P.E., M.ASCE.

References

Arneson, L. A., Zevenbergen, L. W., Lagasse, P. F., and Clopper, P. E. (2012). Evaluation scour at bridges, 5th Ed., U.S. Dept. of Transportation, Washington, DC.
Ballio, F., Terruzi, A., and Radice, A. (2009). “Constriction effects in clear-water scour at abutments.” J. Hydraul. Eng., 140–145.
Barbe, D. E., Cruise, J. F., and Singh, V. P. (1992). “Probalistic approach to local bridge pier scour.”, Hydrology and Bridge Scour, Washington, DC.
Chabert, J., and Engeldinger, P. (1956). Study of scour around bridge piers, Laboratorie National d’Hydraulique, Chatou, France (in French).
Chee, R. K. W. (1982). “Local scour at bridge piers.”, Dept. of Civil Engineering, Univ. of Auckland, New Zealand.
Chiew, Y. M. (1984). “Local scour at bridge piers.”, Dept. of Civil Engineering, Univ. of Auckland, New Zealand.
Dey, S., Bose, S. K., and Sastry, G. L. N. (1995). “Clearwater scour at circular piers—A model.” J. Hydraul. Eng., 869–876.
Dey, S., and Raikar, R. (2005). “Scour in long contractions.” J. Hydraul. Div., 131(12), 1036–1049.
Ettema, R. (1976). “Influence of bed material gradation on local scour.” M.S. thesis, Univ. of Auckland, New Zealand.
Ettema, R. (1980). “Scour at bridge piers.”, Univ. of Auckland, New Zealand.
Ettema, R., Kirkil, G., and Mostafa, E. A. (2006). “Similitude of large-scale turbulence in experiments on local scour at cylinders.” J. Hydraul. Eng., 33–40.
Ettema, R., Nakato, T., and Muste, M. (2010). “Estimation of scour depth at bridge abutments.”, Transportation Research Board, Washington, DC.
Froehlich, D. C. (1988). “Analysis of onsite measurements of scour at piers.” ASCE National Hydraulic Engineering Conf., ASCE, Colorado Springs, CO, 534–539.
Gao, D., Posada, G. L., and Nordin, C. F. (1993). “Pier scour equations used in the People’s Republic of China.”, Federal Highway Administration, Washington, DC.
Gill, M. A. (1981). “Bed erosion in rectangular long contraction.” J. Hydraul. Div., 107(3), 273–283.
Graf, W. H. (1995). “Load scour around piers.”, Laboratorie de Recherches Hydrauliques, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland.
Hancu, S. (1971). “On the calculation of local scour conditions in the area of bridge piers.” 14th Int. Association of Hydraulic Research Congress, Paris, 299–313.
Jain, S. C., and Fischer, E. E. (1979). “Scour around bridge piers at high Froude numbers.”, Federal Highway Administration, U.S. Dept. of Transportation, Washington, DC.
Johnson, P. A. (1992). “Reliability-based pier scour engineering.” J. Hydraul. Eng., 1344–1358.
Johnson, P. A. (1994). “Quantification of bridge pier scour uncertainty.” Chapter 25, Uncertainty modeling and analysis: Theory and applications, B. B. Ayyub and M. M. Gupta, North-Holland, Amsterdam, Netherlands, 407–420.
Johnson, P. A. (1995). “Comparison of pier scour equations using field data.” J. Hydraul. Eng., 626–629.
Johnson, P. A. (1999). “Fault tree analysis of bridge failure due to scour and channel instability.” J. Infrastruct. Syst., 35–41.
Johnson, P. A., and Ayyub, B. M. (1992). “Assessment of time-variant bridge reliability due to pier scour.” J. Hydraul. Eng., 887–903.
Johnson, P. A., and Ayyub, B. M. (1996). “Modeling uncertainty in pier scour estimates.” J. Hydraul. Eng., 66–72.
Johnson, P. A., and Dock, D. A. (1998). “Probabilistic bridge scour estimates.” J. Hydraul. Eng., 750–754.
Johnson, P. A., and Heil, T. M. (1996). “Bridge scour—A probabilistic approach.” J. Infrastruct., 1(4), 24–30.
Komura, S. (1966). “Equilibrium depth of scour in long constrictions.” J. Hydraul. Div., 92(5), 17–37.
Kothyari, U. C., Garde, R. C. J., and Raju, K. G. R. (1992). “Temporal variation of scour around circular bridge piers.” J. Hydraul. Eng., 1091–1106.
Lagasse, P. F., Clopper, P. E., Zevenbergen, L. W., and Girard, L. G. (2007). “Countermeasures to protect bridge piers from scour.”, Transportation Research Board, National Academies of Science, Washington, DC.
Lagasse, P. F., Clopper, P. E., Zevenbergen, L. W., Spitz, W. J., and Girard, L. G. (2010). “Effects of debris on bridge pier scour.”, Transportation Research Board, National Academies of Science, Washington, DC.
Lagasse, P. F., Ghosn, M., Johnson, P. A., Zevenbergen, L. W., and Clopper, P. E. (2013). “Risk-based approach for bridge scour prediction.”, Transportation Research Board, National Academies of Science, Washington, DC.
Lagasse, P. F., Zevenbergen, L. W., Spitz, W. J., and Arneson, L. A. (2012). “Stream stability at highway structures.”, 4th Ed., Federal Highway Administration, Washington, DC.
Lim, S. Y. (1993). “Clear water scour in long contractions.” Waters Maritime Eng., 101(2), 93–98.
Melville, B. W. (1997). “Pier and abutment scour: Integrated approach.” J. Hydraul. Eng., 125–136.
Melville, B. W., and Chiew, Y. M. (1999). “Time scale for local scour at bridge piers.” J. Hydraul. Eng., 59–65.
Mueller, D. S., and Wagner, C. R. (2005). “Field observation and evaluations of streambed scour at bridges.”, Dept. of Transportation, Federal Highway Administration, Louisville, KY.
Oliveto, G., and Hager, W. H. (2002). “Temporal evolution of clear-water pier and abutment scour.” J. Hydraul. Eng., 811–820.
Raikar, R. (2004). “Local and general scour of gravel beds.” Ph.D. thesis, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur, India.
Richardson, E. V., Simons, D. B., and Lagasse, P. F. (2001). “River engineering for highway encroachments—Highways in the river environment.”, Federal Highway Administration, Washington, DC.
Shen, H. W., Schneider, V. R., and Karaki, S. S. (1969). “Local scour around bridge piers.” J. Hydraul. Div., 95(HY6), 1919–1940.
Sheppard, D. M., Melville, B. W., and Deamir, H. (2011). “Scour at wide piers and long skewed piers.”, National Cooperative Highway Research Program, Transportation Research Board, National Academy of Science, Washington, DC.
Sheppard, D. M., and Miller, W. (2006). “Live-bed local pier scour experiments.” J. Hydraul. Eng., 635–642.
Sheppard, D. M., Odeh, M., and Glasser, T. (2004). “Large scale clear-water local pier scour experiments.” J. Hydraul. Eng., 957–963.
Sturm, T. W., Ettema, R., and Melville, B. W. (2011). “Evaluation of bridge-scour research: Abutment and contraction scour processes and prediction.”, Transportation Research Board, Washington, DC.
USACE (U.S. Army Corps of Engineers). (2010). HEC-RAS version 4.1, USACE Hydrologic Engineering Center, Davis, CA.
Webby, M. G. (1984). “General scour at a contraction.”, National Roads Board, Bridge Design and Research Seminar, New Zealand, 109–118.
Yanmaz, A. M. (2002). “Dynamic reliability in bridge pier scouring.” Turkish J. Eng. Environ. Sci., 26(4), 367–375.
Yanmaz, A. M., and Altinbilek, H. D. (1991). “Study of time-dependent local scour around bridge.” J. Hydraul. Eng., 1247–1268.
Yanmaz, A. M., and Cicekdag, O. (2001). “Composite reliability model for local scour around cylindrical bridge piers.” Can. J. Civ. Eng., 28(3), 520–535.
Yanmaz, A. M., and Ustun, I. (2001). “Generalized reliability model for local scour around bridge piers of various shapes.” Turkish J. Eng. Environ. Sci., 25(6), 687–698.
Zhuravlyov, M. M. (1978). “New method for estimation of local scour due to bridge piers and its substantiation.” Transactions, Ministry of Transport Construction, State All Union Scientific Research Institute on Roads, Moscow.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 141Issue 7July 2015

History

Received: Oct 16, 2013
Accepted: Feb 4, 2015
Published online: Apr 21, 2015
Published in print: Jul 1, 2015
Discussion open until: Sep 21, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

P. A. Johnson, M.ASCE [email protected]
Professor and Head, Civil and Environment Engineer, Penn State Univ., University Park, PA 16802 (corresponding author). E-mail: [email protected]
P. E. Clopper, M.ASCE [email protected]
Director, Applied Technology, Ayres Associates, Fort Collins, CO 80525. E-mail: [email protected]
L. W. Zevenbergen, M.ASCE [email protected]
Program Manager and Hydraulic Engineer, Tetra Tech, Fort Collins, CO 80525. E-mail: [email protected]
P. F. Lagasse, F.ASCE [email protected]
Senior Hydraulic Engineer, Ayres Associates, Fort Collins, CO 80525. E-mail: [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