Copyright
Robert J Hallermeier.

Critical wave conditions for sand motion initiation online

. (page 2 of 2)
Online LibraryRobert J HallermeierCritical wave conditions for sand motion initiation → online text (page 2 of 2)
Font size
QR-code for this ebook


causing sand motion, and for converting this velocity into critical wave condi-
tions. Having specified the material characteristics (y', g, D, and v) and the
wave characteristics (T and either d or H) , the procedure provides the remaining
parameter — either the minimum wave height for sand motion in a given water depth,
or the maximum water depth for sand motion with a given wave height. This per-
mits estimating the seaward extent of bed activity in laboratory and field situ-
ations. Considering the assumptions and the factors ignored in developing this
procedure, in certain situations the present calculations must be regarded as a
minimum estimate of the extent of bed activity for the specific wave condition.



LITERATURE CITED

HALLERMEIER, R.J., "Sand Motion Initiation by Water Waves: Two Asymptotes,"
Journal of the Waterway, Port, Coastal and Ocean Division, Vol. 106, No. WW3,
Aug. 1980, pp. 299-318 (also Reprint 80-3, U.S. Army, Corps of Engineers,
Coastal Engineering Research Center, Fort Belvoir, Va., NTIS A092 045).

HAMMOND, T.M., and COLLINS, M.B., "On the Threshold of Transport of Sand-Sized
Sediment Under the Combined Influence of Unidirectional and Oscillatory Flow,"
Sedimentology y Vol. 26, No. 6, Dec. 1979, pp. 795-812.

INMAN, D.L., "Wave-Generated Ripples in Nearshore Sands," TM-100, U.S. Army,
Corps of Engineers, Beach Erosion Board, Washington, D.C., Oct. 1957.

NATIONAL OCEAN SURVEY, "Surface Water Temperature and Density, Pacific Coast,
North and South America and Pacific Ocean Islands," NOS Publication 31-3,
3d ed., U.S. Department of Commerce, Rockville, Md., 1970.

SHEPARD, F.P., and DILL, R.F., Submarine Canyons and Other Sea Valleys, Rand
McNally, Chicago, 111., 1966.

THOMPSON, E.F., "Wave Climate at Selected Locations Along U.S. Coasts," TR 77-1,
U.S. Army, Corps of Engineers, Coastal Engineering Research Center, Fort
Belvoir, Va. , Jan. 1977.

U.S. ARMY, CORPS OF ENGINEERS, COASTAL ENGINEERING RESEARCH CENTER, Shore
Protection Manual, 3d ed.. Vols. I, II, and III, Stock No. 008-022-00113-1,
U.S. Government Printing Office, Washington, D.C., 1977, 1,262 pp.

VERNON, J.W., "Shelf Sediment Transport System," Report USC Geology 65-2,
University of Southern California, Los Angeles, Calif., Aug. 1965.



16











P^








C 01










O S tn




















-) •










"5




T3 O 01








o


d oj 0) x: CO












e 0) 01 x; to










CO > y en to












CO > o en CO










to CO d 0)












to g d 0)








(1> 00 • •"


3 cO 0) O








(U OO - .«




3 CO 01 tj










^^ T3 ^ O












t4H T) x: o








1 "si 3










IHs




O O -rt W U


















w 3 D-










X) OOm-i












T3 OOtti








>> Q)


-H 4J O rH








>. QJ




.H u O rH








^ C -^


O -H CO CO








XI C "r-t




g -H CO CO








■H cn co


^ B 0) CN 1-1








-H en (0




j: a 01 cs u








^^ 001-' o










- -. OOi-l o




CO tH o es O








d H ^










C H -H












d b] z: c:


l-l rH - Tit U








c u z c




U rH • -a 4J








o £


J2 13 C1.-J- 0) W








o x:




js -a a<r oi -th








■H rH a o


4J u 0) -T3 -J




O




-H rH a o








o




JJ {<) O 0)










4J (0 O OJ




CO Ut d -H










^ g U d -H ^




1




to 4J t. U




01 3 o > .




1






J2 (0 J-» -H O m












X2 CO 4-1 -H o <^








jj at bO














4J 0) d 4-1 IH




CO




•H O Q) C






















C U rH ^


U S (U








C CJ rH ^




u a 01








T^ ^ u










■H X3 IH












>> CO <u






d




>, i« OJ








d




C S M <u


eg (u d to >

(u a 1-1 -H CO








C a rH 01




eg 01 d to >

01 a t. -H CO








o U -H C








o H -H C

-rH < CO tH










IJ -H U CD 3










M -H 4J CO 3








u > oo


3 i-i T) d












3 4-J XI d








o • cd c










o . to C




-a rH 4-» 01 o d








B C/3 ^_ (U


(u 3 d x: -H CO








a tn 01




01 3 d x; -H CO








-0 3 ^










■a :d rH




O C to -H CO o








d . rt


1-1 CO a> c rH o












^ CO 01 d rH o










a ij 1-1 d




















"^ . ^ ffl


- a. 3 o .

C CO u^ iH fS








to




d CO tM rH CS








1-1 rt * o


O 3 tu CO








ti CO . e3




O 3 01 CO








O > T3 C_>


^5iS g ^^








o > -o tJ




■H xi x: d tj

4J 4J P O


























* 0) 1






CO




- 01 1














rH T3 4-1 rH 0)




4-1








rH 13 4J rH 01




4J




C -H tw .


3d • O Q, >












3d . O Q. >








O O 00 B


o CO a a a cc








O O 00 B




tj to a a a CO








■H > d O


. r-t O rt 3








■H > 1= O




. rH O CO 3










:S 3 d ^ ^ .3 >.












rH O C 4J d M >,








•H OJ 1-1 r -








■r( 01 u r-^












O O 0) -C








•O CO ar^




o o OJ x:






4-1




. ffl -H ^ S


H






c tn




• CO -rl XI a


•H








a, *j -H . u








O u _ —




a 4J -H • 4J


n








M O -a -O rH c












to O T3 -O rH d








O








XJ






01 CO d 01 CO 01






5


0) Cb p i-H











01 t*4 VJ rH




■ • -a to to 3 a






> 1 (U ■—!


- : >, -H cu w C 01






> 1 0) rH




: S^-H 01 to d 01








n) t -u ^


oj . x: > > yn eg >
rH-.aoi««oao


hH






to 1 4J -H




. x: > > CH to >
rHaototooSo


hH






3 . d


M






3 • a




I-H






^ Sc5 "


u 00 a u 3 s








rH ScS ••




00 CO 14 3 a






<U










■H


tyt ti a- d d d






0)


Cd iH

o 0) ^ a


4J-<00 >,OOOt3


<u




■H
0)


3-3^ i


"


rH 00 >s O O O T3

O 4J -Q -rl -rC d


(U




s


•HBO




r^




a


•H a tj


u


>, -H IH CO 4-> 4-1 to


rH


















01


rHrHOd4-lcOOCn


4-1






tH 4) CO ^ O


>3^aoo-^4)


•H






•H tU CO vD O


>


3 XI a o O -H 01










csrs^n^-tis-:


H


o


rH


K ^ 01 -H -H


tS


r-l.HQl-Hai4-14J ■


H


o


^






CM


H


U -H CO — 1








s


55 s


i^^i




CJ

H


5


5tS s




O liH d 14

a 01 -n H.


hH


H






C <u




r^












r^






O U M












O £ CO








■-: •


T3 CO)












T3 O 01










c oj 01 ^ en












d 01 01 x: CO








4-> d
























01 CO C UJ












CO g d 01








(U 00 • •-


3 to 0) o








(U oo • .-




3 to 01 o








^ d - H


«-. -o £ o












'4H -o XI o








c§ l!^:3










|-CS:3




O O -H 4-1 IH








iJ 3 a










4-13 a.








Q> ^ CO


XI C>OU-(












XI OOUH








5n Q>














rH 4-1 O rH








-£1 d -^


11 Sc^ 2








XI C -rH




13 -rH to to








•H W CO












x: B 01 c^ V4








^ OOM O


CO -H O (N O








- MM O




CO -H O IN O








C H -M


cu ^ CO m . 4J








C H -rl




0) H CO tn .4-1








d w s d










C bJ ^3 C




U H • •T3 4J








O J=


^ -ra ci.<r dj -H








o x:




x: T3 o.<r m rj








th ,H a o


4-1 1-1 Q> -d J




O




•H -H a o




4J 14 01 -O rJ




o




4J CO O 0)


CO l-l d -H












B M d -H










<U 3 O > .




1








5 ffl 4J ° O f^






























u CO oo










iH to 00




4-1 01 d 4-1 14










CO (1) u a








•H t3 01 C












d U rH -H


l-l a (u








C= O rH -rl




IH B 01








•H XI 1-1






o




-H xa IH








C3




>^ CO 01










>, CO 01




^H S CO V4 01








d a -H a>


tg 01 d nJ >
o> a b -H CO








d B rH 01




01 § £ -H " S








O H -H C
■H < (0 -H








O H -H C

■r^ < CO -H










t, -H 4J to 3










V4 -H 4-1 CO 3








■u > 00


3 4J -13 d








tJ > oo




3 4J -o d








o • CO d


T3 rH 4-1 0) O d








O . CO C




•O rH 4-1 01 O d








a CO ^_ <u


0) 3 d x: -H CO








a tn __ 01




01 3 d XI -H CO








T3 O rH










■O =3 ^




o d to -^j to o








d • CO


n rt oj d rH o








C • CO




V4 to 01 d rH o








to •* CO iJ


a n u 3








to .. to u




a. t4 iH 3








(0 > CO


* a. 3 o •








to > to




^ a. o '








CO


d CO i+H ,-H f^J








to




d to t4H rH rg








t-i CO •> O


3 0) CO








M to . O




O 3 01 10








^=•38


i5s g'^ .








O > T3 tJ




:d5S g " .








•> 0) 1


to -H 0) CO




CO




- 01 T












CO W -H 1


,-H T3 4-1 rH OJ








CO IH -H 1








■U




d -H 14H •


3d . o a. >












3d • O C^ >








o o 00 a


o to a a a CO








o 00 a




o to a a a to








•H > d CJ


. rH O CO 3








•H > C3 O




' f-t O to 3










vis to -. 4J 4-1 X








*J rH -H




-O CO . u 1-1 ><




3


-)


-H (U p r -


rH O d 4J d UJ >,

O O OJ XI


s




■-)


■o m acN




^ '^ g^ g"^


s








. CO -H X B












• to -H Xt B






QJ


O U •" "^


Q, iJ -H . 4-1
CO U 13 -3 rH d


OJ




0)


O 4J _ •-




a. *j -H . 4-1
to o -a -3 rH d


s




-Q


o




en




XI






cu to d <u CO OJ






^




" T3 CO CO 3 B






o






• • T3 CO CO 3 a






> 1 0) >-H








es


> 1 01 rH




: >. -H 0) « d QJ








(0 1 U -H


<u^x:>> "*-* ^ ^


I-H










. x: > > iw eg >
rHaocijcooso


M






3 • d








§ '. c "^


rH


M






^ sa •■


uSS'23"'° a








M ScS"












■rl CT^ H o. d d d








■H












■UrHOO ^lOOO-O






•H


to -H




rH OO >S O O O -O






a>


o (U £ a


O 4-» XI -H -H d






0)


<j 01 x: a




O 4-» ^ -H -J-i C


(U




B


-HBO








a


•HBO




>*|H u ^ rt tJ en












4-)


















^ OJ CO ^£) O


>3X)a.ocj-rH<u






<u


•H 01 to to O


>


3 XI a- o o -rH o(






;:^


U rH UJ — ' T


Q-1-H0J-H0)4-JU .
O: 0Q0d4-»y-.-HOrH


H


o


rH


i3S S:iV


5


PStSll^S-H Or^


H


o






o I*-, d u.




O


CO


K (S 3










K


S (S s


a 0) -H ph


M


H


SC




a 0) -H Oh




H





2

Online LibraryRobert J HallermeierCritical wave conditions for sand motion initiation → online text (page 2 of 2)