Evaluation of Pier-Scour Equations for Coarse-Bed Streams
By Katherine J. Chase and Stephen R. Holnbeck
U.S. Geological Survey
Scientific Investigations Report 2004-5111
In cooperation with the
Montana Department of Transportation
Abstract
Streambed scour at bridge piers is among the leading causes of bridge failure
in the United States. Several pier-scour equations have been developed to
calculate potential scour depths at existing and proposed bridges. Because
many pier-scour equations are based on data from laboratory flumes and from
cohesionless silt- and sand-bottomed streams, they tend to overestimate scour
for piers in coarse-bed materials. Several equations have been developed to
incorporate the mitigating effects of large particle sizes on pier scour, but
further investigations are needed to evaluate how accurately pier-scour depths
calculated by these equations match measured field data.
This report, prepared in cooperation with the
Montana Department of Transportation, describes the evaluation of five
pier-scour equations for coarse-bed streams. Pier-scour and associated
bridge-geometry, bed-material, and streamflow-measurement data at bridges over
coarse-bed streams in Montana, Alaska, Maryland, Ohio, and Virginia were
selected from the Bridge Scour Data Management System. Pier scour calculated
using the Simplified Chinese equation, the Froehlich equation, the Froehlich
design equation, the HEC-18/Jones equation and the HEC-18/Mueller equation for
flood events with approximate recurrence intervals of less than 2 to 100 years
were compared to 42 pier-scour measurements. Comparison of results showed that
pier-scour depths calculated with the HEC-18/Mueller equation were seldom
smaller than measured pier-scour depths. In addition, pier-scour depths
calculated using the HEC-18/Mueller equation were closer to measured scour
than for the other equations that did not underestimate pier scour. However,
more data are needed from coarse-bed streams and from less frequent flood
events to further evaluate pier-scour equations.
Contents
Abstract
Introduction
Purpose and scope
Description of pier-scour data used to evaluate equations
Methods of data collection
Comparison of data sets used to develop and evaluate
equations
Description of pier-scour equations for coarse-bed streams
Simplified Chinese equation
Froehlich equation
Froehlich design equation
HEC-18/Jones equation
HEC-18/Mueller equation
Evaluation of pier-scour equations for
coarse-bed streams
Simplified Chinese equation
Froehlich equation
Froehlich design equation
HEC-18/Jones equation
HEC-18/Mueller equation
Summary statistics for calculated and
measured pier scour
Summary and conclusions
References cited
ILLUSTRATIONS
- Map showing States from which pier-scour data were compiled
- Graphs showing comparison of calculated to measured pier scour for five equations
- Graph showing distribution of residual depth of pier scour
TABLES
- Hydrologic and hydraulic data for selected pier-scour sites
- Summary of pier-scour measurements
- K1, K2, and K3 correction factors for the HEC-18/Jones equation
- Summary of scour measurement data used to develop the HEC-18/Mueller equation
- Comparison of calculated pier scour to measured pier scour from five equations
- Summary statistics for calculated pier scour for five pier-scour equations and measured pier scour
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