Analytical study of local scour: draft

r . C-. F . lz~dl Chief

Division ot ~aulic .Researclt Bureat.i of blic oat.is

18th and i' .streets,, N. • W•sbmgton.

ta.

D*

c.

Tra.nsmitte<l

~rewith

ax-e

an

original and two .copits of the

report

uAual)'ticaJ. Study of Local ·scour.

'*

by F . Ai.,. Chang _ d

V . • YevdJevieh~ report No .. CER62FMC26 fo-J" CQntractCP.Ql

1.-7866 ..

'rbia report ia in essence a. draft and a.iter ynu.r review I would •ppr-ecia.te an opportunity to discuss the contenta- during my trip to Washington n.ext week.

ic research proposal on the 1'1ecbanics of Local S<::our will be mailed to you later this week.

ce:

s. s.

~aki

F9 M. Chang M. E . Bend

r

r

Q

V. . • Yevdje.vich

Research Hj"draulic Engineer

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attbrtaetory-m.odel eolldNOJ_ -· · Ca,JGOJ ~ · -

~

r,upect

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e ~ - - •

ol. th _ ~~ of

1odl •~

Sat Meelf:U171-.t0 • IWral f-0~

la 1 tfttelated ~tno11n•eae.:

'flYll!r~. secU !a.c· ·

enever

t ~ a

,ariverra~

41.u •. ri rtr~st~ ,.

. n

Set!lm' ta dat-acte ·

bed

b7

a.

deeP4ffi river b

tn

resfrlfled

t · ·

a oarro•

~ ~ced by-._

effect ia COIIDtttld very

cloae to the

.Atrue-t:n

feta • ~ m i· rn-1',a.nt. ic

or

en,' otiler type 1:11· ei·

·ru.

~~

OC;~ ring in.altmi · . ·.

u.tri

·t.

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Looel.•N.n.-

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th•

J . ~e

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at

the h

~~i,;,

c

1~

at .

f W:wa,11.

!'he

l &t.WO,-m:m

lar. .

:ell,

· tructlon. 1t l • 1her:efor · • d1ffieult to justify ·

Aft~~~. n

~n. ro-.nm,

;. The three-

t

be een,tdered

ch

wmsdc ot

any locdud:

•:c~

uader · m rturial c<mdl~.

:I. Tr:matetst. _{.-=z .} J aatelid• b4 • R · tin

re11lm ,•

a tt tf . ~ 1

ud

it

the tre

no-

1 tft • . . Cherlll~l 19 th equillbti

~~ed

u- ·

M*1d

\

t

lfCOW'"

in; cour iw!e ~

-me-nt disc

ae

are

· Cotti' to

, oft.«

cnuaes

rat1s;ion _l"ate. '

Gow state tAe cour ~ may ~at · tt ~Iii.Ii, rn.

t

~tt1>1-n.u llow OCC\U'a

a

tbll tr- ~

~1e•

down_ r . · · 1.ocal •e ui-.,

b.ed! confjgunti. Mt t lace,.

.. u~nowrl!!!!.

the .

#

aeour

~ by t · er

· 8.4d1ment 41 c gea.

r•brt•

; l.od1 SC BCH.4HJ

&~~allf

t.acr-.e .

t

otinCJ. ~-- e _ • id ~-t)lld UWRel~·~ ' . . .. l 18 partially refilled pad T

.. t

rlYi flow Thi' • . ~. , f I met · aud pr a ·llre:,

whlc e~ib t rict1 fact

•

+

tove1oc

ty oa:r'Gn.eten

t>elat tot 13

1.4

c·

~ltt·

ot

bed

ma,e.r:t.l

cour-

le, comp.\

y

•

tio

1t1 t. ol t >® · ~ •

r

ametera,

OUJ~-«:lllU,C$(ooal . :ow lt.ariatiO , t . fourth

scc,ur bQlea 'Of! -sect

h)

• oppo.ait cur ent ,

cl-.eto

re;fJ£1IJ~ tlf aedt posttt ·e

lA

1:.

~1ff,\i?~m~~· The meehantes

ol

looal aeo~ ~n

c

_

l

reaclt, ca · ed

b1 _ ,

:eoutricUoa~ can

be 't~ed itt

t -~

-.me

zna1me~ as . e~ca vi edb:uent b'an f>Ort ht A ~ cbaimel. ~eaaed:

~~tie

ihr~

.

he ~ction a;re rlnci U,, reClpestl'>l• tor incnas•d

mu:,:ar

.trUJte

'bl1 the bottQm.,, au

•o.ston

:tahs. plaee

u

101:Vl -_ . t,

•ai-·

v~tte•

~ not .dect'. . •d

h1 •

f.te~~Deiletl sCOUl'ed etion._ o.,

th4\

~e-••·

taae of the · ~rR&l la 8\dflci · t

tnthstand

erQI_OA.

The

process of

locQ.1.

ewr

&ro.tll\d ob•tnto.tl

la

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intK-mitt•nt

p meIJQl'l..

a

aa.

MG noted Ja ~

experbncmts,

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.We sl.

~

t'lf .a atooe . ~-

...-1

Qr" 'Y1try· dos , to the . ~ . npw$e ~ of th:e ·

l•

. _. water..

l\ _ ~ ubael'Vtd alst),. that

t

um;l&Cl td dt~

Jet•

~ seCl;ffl.d-, ~~ ~U1u ihft s~ i..9';

-a.

llmlted J"Cioa• 11ava..n,, Wlder•

outt-,g· the~ of

the alopo. Wbe·· ti llnde-"Nt isilWlidfl fly

1Mie ·

dffp,

•· slw-et

•f e ~ lldes

c.u,e

the

elope

flll1ng tlle ~cld:J

.«

prO'Vf.<iu.

pro,n,.

••••11'

&Nat«r . -t@·

Jet ·~

.

The *1-..txt ~ •

u,

tlM,

erD!d•

CD.d ti'

on

of Wa !llate,rial

om

..r

·the cour hole,. and a

11cw

·Qad:~'C\ltt Pl'~

eu:a · e,tu.s.. ThQ :relt.tiftl)r

at.Nlll

area

d.

Wen

ilteu

•om.oa.

is,,, ihel"'ofoN. the c U$e of t .

.lntex-mittettt

,i.:nometWa. «~glectir,g

t.t.

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_._, ~ •com- .

·®ese

may

be

a•n&t· _ u . · . -semr

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l ~ (afi~ed ahto by

app, ..

c~ ~ . • other t~) to d4fferea;,o

uat.• It

Ir~

tho . ··. J&t

'*~•shJtl proce•s

wilt@ t aku .laee

oa .· ~ r ar · ·9!

loeaJ.

i CGill"1,.

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St:~m-

91!>4~

Tbe

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mem

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tt•ct

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harp

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t~en.¢.e

and~ ·scr:~'b;yt ~tlou .Q't :·· ·.·· .

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Number Slope Median Normal Opening Mean

Model of Width of Total of Size of Depth of Ratio Velocity Froude Run Model Length Model s Flwne Discharge Bed Bed Mat'l Flow _~ of flow Number No, Type a (ft) p _{B (ft)} Q (cfs)

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TABLE I. BASIC DATA (Cont'd)

Number Slope Median Normal Opening Mean

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TABLE II

Nwnber Slope Median Normal Limiting Opening Mean

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A a B _{.9d,4 B} 0 n _n 0 g 50 g 50 2 1.5 .46 1.795 8.o .56 .75 .467 .188 .43l~ .202 6.6 3.04 2.85 .58 1.65 .206 .79 .163 1.57 18.0 .79 .163 1.93 5.1 3 2.0 II II ti II 1.0 II .250 .500 .233 7 .6 3. 49 II _" II II LOO ,206 1.98 25.2 1.00 .2o6 2.44 9.0 4 2.5 II II II II 1.25 " .313 .559 .261 8.6 3 .95 II II " II 1.19 .245 2.36 30.0 1.20 .247 2.93 11.6 5 3.0 II II II II 1.50 II .375 .612 .286 . 9.5 4.37 II If II " 1.35 .278 2.68 33.0 1.36 .28o 3.32 12.9 5A 3.0 " II II II 1.50 " .375 .612 .286 9.5 4.37 II II " " 1.35 .278 2.68 33.0 1.36 .280 3 .32 12.9 6 3.5 II II II II 1.75 II .438 .662 .309 10.5 4.83 " II If II 1.52 .313 3.01 35.4 1.57 .323 3 .83 13 .8 6A 3.5 " II II II 1.75 II .438 .662 .309 10.5 4 .83 " II II " 1.52 .313 3.01 35.4 1.57 .323 3.83 13 .8 7 4.o II II II 11 2.00 11 .500 .707 .330 11.0 5.05 II II II II 1.68 .346 3.33 37 .1 1.75 .360 4.27 14.2 8 4.5 II II II II 2.25 II .563 .750 .350 11.5 5.30 II ,, II II 1.83 .377 3.63 38.4 1.92 .395 1+ .69 14.3 9 5.0 II II II II 2.50 II .625 .790 .368 12.1 5.67 If II II II 1.98 .4o8 3.92 39.4 2.09 .430 5.10 14.l+ 10 1.0 .77 2.110 II II .50 .424 .125 .354 .146 4 .8 3. 70 3.84 .83 3.19 .399 .60 .239 2.30 29,4 .57 .227 2.69 10.4 11 1.5 " " II II .75 II .188 .434 .184 6.0 4.62 " II II " .79 .315 3 .03 35.5 .79 .315 3. 71~ 13.7 12 2.0 II II II II 1.00 II .250 .500 .212 7.0 5.39 II II " II 1.00 .399 3.84 39.1 1.00 .399 4. 711 14.3 13 3.0 II II II II 1.50 " .375 .612 .260 8.6 6.62 II If Pl II 1.35 .539 5.18 42.0 1.36 .543 6 .1~5 14.4 14 4.o II " II II 2.00 II .500 .707 .300 9.9 7.62 Pl Pl " Pl 1.68 .670 6.45 43 .o 1.75 .698 8.28 14.4 15 3.0 If II " " 3.0 II .375 .612 .260 8.6 6.62 II II

..

" 2.27 ,9o6 8. 73 43 .o 2.40 .958 11.38 14.4 16 1.5 II II " II 1.5 II .188 .434 .184 6.o 4.62 n II " II 1.35 .539 5.18 1+2 .o 1.36 .543 6.45 14.4

17 2.0 .62 2.015 II " 1.00 .452 .250 .500 .226 7.h li.59 3.55 .72 2.56 .320 1.00 .320 3.o8 36.0 1.00 .320 3.8o 13 .8

18 3.0 ti II II II 1.50 II .375 .612 .277 9.2 5.71 II II II " 1.35 .432 4.16 40.1 1.36 •1+35 5.16 11+ .4 33 1.0 .50 2.13 8.o .56 1.0 ,531 .125 .354 .188 6.2 3.10 3.92 .62 2.43 .304 1.00 .304 2.92 34.9 1.00 .304 3.60 13 .5 33R LO ti 2.10 II II

,.o

.524 .125 -351 + .186 6 .1 3 .05 3 .83 II 2.38 .298 LOO .298 2.87 34 .5 1.00 .298 3.54 13 .4 34 2,0 " II II II 2.0 .524 .250 .500 .262 8.7 4.35 " If II II 1.68 .500 4.81 l+l.lr 1.75 .522 6.19 14.4 36 2.0 .51 1.20 II II _2,0 .297 _.250 .500 .149 4.9 2.50 1.39 II .88 .110 1.68 .185 1.78 22.2 1.75 .192 2.28 8.o 38 1.5 .50 1.21 II II 1.5 .302 .188 .434 .130 4 .3 2 .13 " II .87 .109 1.35 .147 1.41 11~. 5 1.36 .148 1.76 3. 4 39 2.5 II LOO II II 2.5 .250 .313 .559 .139 4.6 2.28 1.00 II .. 62 .078 1.98 .155 1.47 16.5 2.09 .163 1.93 5.4 )4Q 3.0 .54 .925 ti II 3. O .222 .375 .612 .136 4.7 2.40 .87 .65 .57 .071 2.27 .161 1.55 17,7 2.40 .170 2.02 5.9 lil _2.0 .52 _1.20 II II _2.0 .294 .250 .500 .147 lL8 2 ,50 1.39 .63 .88 .110 1.68 .185 1.78 22,1 1.75 .193 2.29 8.o 43 3 .o II " II II 3.0 II .375 .612 .180 5.9 3.07 II II II " 2.27 _.250 2.41 30.5 2.40 .264 3 .13 12.3 47 3. O II II II II 3.0 II .375 .612 .180 5.9 3.07 II " " II 2,27 .250 2.41 30. 5 2.40 .264 3 .13 12.3 54 2,0 II II II II 2.0 II .250 .500 .111-7 l.i..8 2.50 " II II II 1.68 .185 1.78 22.1 1.75 .193 2.29 8.o 55 2.0 .70 1.25 11 " 2.0 .264 .250 .500 .132 4.3 3.01 1.50 .78 1.17 .146 1.68 .246 2.37 30.1 1.75 .256 3.04 12.0 56 1.0 II 1.25 II II 1.0 II .125 .354 .094 3.1 2.17 II II II II 1.00 .146 1.40 14.3 1.00 .146 1.73 3.0 73 II .25 _1.20 4.o II 1.0 .424 .250 .500 .212 7 .o 1. 75 1.39 .38 .53 .133 1.00 .133 1.28 11.0 1.00 .133 1.58 1.0 74 II II _1.20 II II 1.0 II .250 .500 .212 7

.o

_L 75 11 11 II II _1.00 .133 1.28 11.0 LOO .133 1.58 LO 75 II .46 1.13 " II 1.0 .294 .250 .500 .147 _L .8 2,22 1.26 .58 .73 .183 1.00 .183 1.76 22.0 1.00 .183 2.17 7.0 76 II ,235 1.81 II II LO .657 .250 .500 .329 10.7 2.52 2.90 .37 1.07 .268 1.00 .268 2.58 32.2 1.00 .268 3.18 12.4 76R II II II II II LO .657 .250 .500 .329 10.7 2.52 II II II II LOO .268 2.58 32.2 LOO .268 3.18 12.4 77 If II r.56 II 11 1.0 .562 .250 .500 .281 9,7 2.27 2.22 II .82 _{.205 LOO} .205 1.97 _25.0 1.00 .205 2.43 9.0

TABLE V

Computed Measured Computed Measured

Run _dSL A ₀ B ₀ d _s d _s d /h _{s n} d /h _{s n} 2 3.04 18.0 5.1 .95 .93 2.06 2.02 3 3 .49 25.2 9.0 10.8 10.3 2.35 2.24 4 3.95 30.0 11.6 12.2 5 4.37 33.0 12.9 13.2 12.6 2.87 2.74 5A 4.37 33.0 12.9 13.2 11.4 2.87 2.48 6 i~ .83 35.4 13 .8 13.8 11.8 3.00 2.57 6A lr .83 35.4 13 .8 13 .8 13 .2 3.00 2.87 7 5.05 37 .1 14.2 11+.0 13.2 3.05 2.87 8 5.30 38.4 14.3 13. 7 13 .9 2.98 3.02 9 5.67 39.4 14.4 14.2 10 3.70 29.4 10.4 10.5 10.2 1.36 1.33 11 4.62 35.5 13. 7 13 .2 13.3 1.71 1.72 12 5.39 39.1 14.3 1.36 13 .5 1.77 1.75 13 6.62 42.0 14.4 1.li8 1.53 1.92 1.98 14 7.62 43.0 11~. 4 1.71 1.78 2.22 2.31 15 6.62 43 .o 11~.4 1.48 1.52 1.92 1.97 16 4.62 42.0 1lr.4 1.04 17 1_{+-59 36.0 13 .8} 1.28 1.28 2.o6 2.o6 18 5.71 lrO. 1 14.4 1.38 1.45 2.23 2.34 33 3.10 34.9 13 .5 .89 .96 1.78 1.92 33R 3.05 34.5 13 .4 .88 .94 1.76 1.88 34 1~ .35 41.4 14.4 1.02 12.4 2.04 2.48 36 2.50 22.2 8.o .86 38 2.13 14.5 3.4 .71 .72 1.42 1.44 39 2.28 16.5 5.1 .84 .86 1.68 1.72 40 2.40 17.7 5.9 .86 .86 1.59 1.59 41 2.50 22.1 8.o .87 .88 1.67 1.69 43 3.07 30.5 12.3 .99 .75 1.90 1.44 54 2.50 22.1 8.o .86 .95 1.66 1.83 55 3.01 30.1 12.0 .98 .95 1.40 1.36 56 2.17 14.3 3 .o .70 .75 LOO 1.07 73 1.75 11.0 o.8 .52 .51 2.o8 2.04 74 1.75 11.0 o.8 .52 .54 2.o8 2.16 75 2.22 22.0 7.0 .68 .68 1.48 1.48 76 2.52 32.1 12.6 .77 .78 3.27 3.32 76R 2.52 32.1 12.6 .77 .72 3.27 3.06 77 2.27 25.0 9.0 .72 • 73 3.06 3.10