02_scour and protection
TRANSCRIPT
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Scour and scour protection
Krystian W. Pilarczyk
Rijkswaterstaat
Road and Hydraulic Engineering Division,
Delft, the Netherlands
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Types of scour
Currents
Jets
Waves
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Types of scour
a) S2 = S1 > 0. This is a dynamic equilibrium situation.
Sediment can be picked up and can settle again, but there is
no net change of the position of the bottom.
b) S2 > S1 = 0. There is no sediment supply from upstream,
while there is sediment transport downstream. This case isknown as clear-water scour. (uo1< uc)
c) S2 > S1 > 0. There is sediment supply from upstream but the
sediment transport downstream is larger. This case is known
as live-bed scour. (uo1> uc)
S f S f c
( ) ( ) or
Types of scour
Or, S = f(uuc)
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Flow deflectors
Increase footing depth
Examples scour damage
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Literature
See also selected literature in lectures by Pilarczyk
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General aspects
and components
Hydraulic boundaryconditions
-flow pattern
- soil conditions
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scour behind bed protection
4.07.0
2.0
0
7.1
10)( thuuth cs
hs(t) maximum scour depth
h0 original water depth
u vertically averaged velocity at end of protection
uc critical velocity
t time in hours scour intensity parameter
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Bank sliding Zeeland
Probably due to flow slide
schematic view of a flow-slide
l d fi i i fi b d
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Control definitions of
scour depth?
Sometimes = scour depth
Sometimes = scour depthplus water depth
Scour Manual, 1997
Hoffmans&Verheij
Scour in bends
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River, Coastal and Shoreline Protection: Erosion
Control Using Riprap and ArmourstoneC. R. Thorne (Editor), Steven R. Abt (Editor), Frans B. J. Barends
(Editor), Stephen T. Maynord (Editor), Krystian W. Pilarczyk (Editor)Hardcover , 784 pages , April 1995
Velocity prediction in bendsempirical method
Vtoe/Vavg= 1.660.42 log (Rc/w)
(Rc/w)= the radius of river curvature to widthratio for the bend
WES (US Army):
Vtoe/Vavg= 1.750.5 log (Rc/w)
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Bend scour depth prediction-empirical method
(Thorne, 1988, 1995)
All meanders:
dmax/dbar= 2.070.19 log (Rc/w-2)
Revetted bends:
dmax/dbar= 2.150.27 log (Rc/w-2)
Equation for the prediction of maximum bend scour
(dmax) on the basis of the mean depth of the
approach channel at the crossing upstream of thebend (dbar) and the bend geometry represented by
the ratio of bend radius (Rc) divided by width at the
upstream crossing (w).
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Comment Steve Maynord
Regarding bend scour, dmax and hb are the maximum water depth inthe bend, not scour depth. Dbar and h are the average or hydraulic
depth in the channel approaching the bend. I prefer using a form ofthese equations I published in:
Maynord, S.T. (1996). Toe-Scour Estimation in StabilizedBendways, ASCE Journal of Hydraulic Engineering, Vol 122, No. 8.
Regarding the R/W limitation of 2, my recollection is that we believedthat few cases were less than 2 and that 2 was likely close to a
maximum. Regarding velocities, our EM 1110-2-1601, Hydraulic Design of
Flood Control Channels has our empirical equations for velocity innatural and trapezoidal channel bends. I have been told that manualcan be downloaded from our website.
Steve Maynord
EM 1110 2 1601 US A 1994
http://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htm -
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EM 1110-2-1601, US Army, 1994
http://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htm
EM 1110-2-1601
R t t i
http://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htmhttp://www.usace.army.mil/usace-docs/eng-manuals/em1110-2-1601/toc.htm -
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Revetment in
bends
S d
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http://www.ctre.iastate.edu/pubs/midcon2003/ettemascour.pdf
Robert Ettema, Tatsuaki Nakato, and Marian Muste
Scour around spur
dikes/groynes
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Scour at groyns, Schiereck 2002, H-04
3/2
0 2.2
bB
Qhh se Eq. 4.9
Breusers/Raudkivi, 1991
ho= water depth
hse= scour depth
Q = discharge
(constant 2.2 is not dimensionless)
Expression of Ahmed for scour spur dikes as
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Expression of Ahmed for scour spur dikes as
given by Hoffmans & Verheij (Scour Manual,
1997) reads:
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Scour at bridges
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S f S f c ( ) ( ) or
scour around a cilinder
Or, S = f(uuc)
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scour around a cylinder as function
of waterdepth and diameter
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Example of scour formula, Schiereck, 2001, H-04
Pier shape l/b K S
Cylinder
Rectangular
Elliptic
-
1
3
5
2
3
5
1.0
1.2
1.1
1.0
0.85
0.8
0.6
DhKKK
Dh uSs
0tanh2 not in example 4.1 ??
Ks= shape factorK= angle of attack
Ku= velocity factor
Ku= velocity factor :
Ku= 0 for u/uc< 0.5,Ku= 1 for u/uc> 1 andKu= (2u/uc- 1) for 0.5 < u/uc< 1
A constant of proportionality of 2 is recommended by Breusers et al,1977, for design purposes
Schiereck Example 4-1; cylindrical piers
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Schiereck, Example 4 1; cylindrical piers
A cylindrical pier with a diameter of 5 m is located in ariver, 5 m deep, with a gravel bed, d50 = 5 mm. The flowvelocity is 1 m/s. What is the expected scour depth?
The dimensionless diameter, d*, in the Shields-Van Rijngraph, see figure 3.2b, is: 0.005*((1.65*9.81)/(1.33*10-6)2)1/3 = 105. This gives = 0.05 (Note: scour refers to
sediment transport, not to damage to a bottom protection,
so, the original Shields values should be used). With anassumed roughness of twice the median grain diameter we
find C = 18log(12*5/0.01) = 68 m/s. From this we find acritical velocity: uc = 68*(1.65*0.005*0.05) = 1.38 m/s.The velocity coefficient in equation 4.7 then becomes:
2*1/1.38-1=0.45. The scour depth becomes:5*0.45*tanh(5/5) = 1.7 m.
Or, with a proportionality factor of 2: hs= 2 x 1.7 = 3.4 m
Schields; Schiereck H-03; Fig 3-2
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Schields; Schiereck H-03; Fig. 3-2
Figure 3-2 Critical shear stress according to Shields - van Rijn
Uc= C (dn50 )^0.5
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Bridge scour protection
Stability of protection material can be calculated based on theassumption that the maximum shear stress and maximum flow velocity
near the cylinder are roughly equal to:
max= 4undisturbed
And/or umax = 2uundisturbed
Tere is a large number of formulas:
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HEC-18 USA
Tere is a large number of formulas:
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Example from USA:
y1 = average flow depth upstream
http://www.haestad.com/library/books/FMRAS/FloodplainOnlineBook/javascript/wwhelp/w
whimpl/common/html/wwhelp.htm?context=Floodplain_with_HEC_RAS&file=Floodplain%20with%20HEC-RAS-22-06.html
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Reference
Title:Bridge Scour
Authors:Bruce W. Melvilleand Stephen E. ColemanSpecifications:Soft Cover, 572pp, ISBN 1-887201-18-1Price:US $85Cat No:BSR
"A comprehensive state-of-the-art treatment of scour andbridge foundations - both a handy reference text and amanual for the practicing bridge designer."
http://www.wrpllc.com/authors/melcole.htmlhttp://www.wrpllc.com/authors/melcole.htmlhttp://www.wrpllc.com/authors/melcole.htmlhttp://www.wrpllc.com/authors/melcole.html -
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R t t
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Revetments
- Scour
- Toe protection
Rule of thumb:
Max Scour hole = height of local waveDepth limited :
Local wave height = 0.5 water depth
Thus, max scour depth = 0.5 water depth
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Conclusions
Integrated approach:
Hydraulic aspects
Geotechnical aspects
Structural aspects
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Literature
See also selected literature in lectures by Pilarczyk
http://www.unesco-ih / /di /b k80/d f lt ht ?htt //
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ihe.org/we/dicea/brk80/default.htm?http://www.unesco-
ihe.org/we/dicea/brk80/brk8001.htm
Dicea overview:
CLO06 Bed protection near closure works
CLO0601 Function of a bed protection
CLO0602 Stability of a bed protection
CLO0603 Length of a bed protection
CLO0604 Calculation of a scouring hole
CLO0611 Stability under current attack
CLO0613 The Knauss and TAW formula (CRESS routine 612)
CLO0616 The Shields and Pilarczyk formula (CRESS routine 611)
download RWS-Cress (English version)
download IHE-Cress (Windows version)
Also:http://ikm.nl/rwscress/
http://www.unesco-ihe.org/we/dicea/clo06/clo0601.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0602.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0603.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0604.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0613.htmhttp://www.waterbouw.tudelft.nl/public/ct4310/cress/rwscressEN.ziphttp://www.ihe.nl/we/dicea/cress.htmhttp://www.ihe.nl/we/dicea/cress.htmhttp://www.ihe.nl/we/dicea/cress.htmhttp://www.ihe.nl/we/dicea/cress.htmhttp://www.waterbouw.tudelft.nl/public/ct4310/cress/rwscressEN.ziphttp://www.waterbouw.tudelft.nl/public/ct4310/cress/rwscressEN.ziphttp://www.waterbouw.tudelft.nl/public/ct4310/cress/rwscressEN.ziphttp://www.unesco-ihe.org/we/dicea/clo06/clo0613.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0604.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0603.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0602.htmhttp://www.unesco-ihe.org/we/dicea/clo06/clo0601.htm -
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The end
Questiona and discussion