o 



-1 



i 



Prediction of irregular wave overtopping / by John Ahrens. - Fort 

 Belvolr, Va. : U.S. Coastal Engineering Research Center ; Springfield, 

 Va. : available from National Technical Information Service, 1977. 



20 p. : ill. (Coastal engineering techncial aid - U.S. Coastal 

 Engineering Research Center ; CETA 77-7) 



A proposed technique is described for predicting overtopping rates 

 ir structures exposed to irregular wind- gene rated waves by extending 

 e method of predicting overtopping for waves of constant height and 

 riod presented in the Shore Protection Manual (SPM) (U.S. Army, 

 irps of Engineers, Coastal Engineering Research Center, 1975). 



U 



M S 

 I-I -H 



B 

 ■H U 



H m 



M O 



OJ OJ 



> 4J 



CO a 



"!" 



. CO 



§•3! 



60 



OJ a 



> -H . 



S K r^ 



S OJ I 



. SK 



60 O 

 C .-1 

 •H to 



to -ri 



ti.3 *° 



lin-S 



§! = ! 



CO •. o 

 3 m OJ 



B 



a 



o 



rens , John 



Prediction of irregular wave overtopping / by John Ahrens. - Fort 

 Ivoir, Va. : U.S. Coastal Engineering Research Center ; Springfield, 

 . : available from National Technical Information Service, 1977. 

 20 p. : ill. (Coastal engineering techncial aid - U.S. Coastal 

 glneering Research Center ; CETA 77-7) 



A proposed technique is described for predicting overtopping rates 

 r structures exposed to irregular wind- gene rated waves by extending 

 e method of predicting overtopping for waves of constant height and 

 riod presented in the Shore Protection Manual (SPM) (U.S. Army, 

 rps of Engineers, Coastal Engineering Research Center, 1975). 



OJ 

 - OJ 



M d 



I-I v-i 



^■3 



•H U 



is 



en ju 

 . tfl 



§s 



tfl 1-1 r^ 

 S (U 1 



• d f^ 



CM ^ 



ii"S 



a 4-j . 



O CO -H 

 4J O to 



14 U 



> . to 

 o tn o 



• -H 



1^1 



3 in OJ 



d 

 tfl 



00 



o 



^ 



C4H 4J I2.U 



OJ B 

 en -H 



P 



^ ^S s 



c25 g.iS 



OJ B 



p 







60-3 

 ?! S S 





r^ 



■3 

 H 



00 -o 



CO B B 









o ■4-1 r-^ 



OJ -H to 

 4J '3 



to C u . 



. OJ 



2 



U S ■ 



o tw r^ 



OJ -H ™ 

 ™1^. - 



u 



3 





1. - F 

 Ipring 

 :, 197 

 lastal 



^ ,'^ •£ &■ 



M C 





bt 60r~. ^ 



V4 OJ j:: ^ 



I-I B 







4J 60 e . 



60 X -H C ^ 

 C OJ OJ <( u-i 

 •rt X 1^ 



I-I -H 

 60 



c 



• OJ 





E CT, CO 

 . D. - CO 



ing 



ext 

 heig 



Arm 

 75). 



I-I -r4 

 60 

 B 







'S'^ ZS 



CX >. • CT' 



^ w 





en en OJ o 



a >. • CT. 



rH .-t 







John Ahre 

 Center ; 

 ion Servi 

 d - U.S. 



ng overtc 

 ed waves 

 f constan 

 (SPM) (U. 

 Center, 



4J CO 



•H 4-1 



r^ 



John Ahre 

 Center ; 

 ion Servi 

 d - U.S. 



ng overto 

 2d waves 

 £ constan 

 (SPM) (U. 

 Center, 



t-4 CO 







' by 



:arch 

 irmat 

 il ai 



u u 01 a u 



■H OJ OJ 3 CO 



1^ 



B 



by , 

 arch 

 rmat 

 1 ail 



•H 4J o s: 



4J CO .HO 

 o 14 in CO 14 



> S 



d 





■ ng / 

 Rese 

 Infa 



incia 



pred 

 1-gen 

 ■ wav 

 , Man 

 Rese 



:3 OJ 



<7-» jr 





ng / 

 Rese 

 Info 

 ncia 



pred: 

 -gem 

 wavi 

 Hani 

 Rese; 







a 60rH u r^ 



V4 C O 60 



£^ 





■H J3 ^^ 



CX 60.H u r^ 



•3 ^ B 



^ 







C C3 to OJ 1 

 O -H 'J 4J r^ 

 4-J Vj -H r^ 



.2-g^S5 



. tfl 

 ex OJ 

 3 to 





§-5 SSrl 



ibed fo 

 ular wii 

 pping fi 

 rotectli 

 ineerin; 



• CO 



60 







; over 

 iginee 

 Techn 

 .ering 

 CETA 



■ibed 

 ;ular 

 ■ppin 

 'rote 

 ;inee 



2^ 



60 





over 

 inee 

 e chn: 

 ring 

 ETA 













60H OJ O 





OJ d 







> Id ^ C •- 



" » S ?' s; 



S S S 2^ 



•3 -H > O H 



3 OJ 1 

 OJ r^ 



" 



wave 

 1 En 

 nal 

 gine 

 r ; 



desc 

 irre 

 vert 

 ore : 

 1 En, 



3 OJ 1 

 OJ r^ 



s 





tfl o d OJ 



o ji: to 



. B r^ 



CM -H 



S^ 



^ 2 O B OJ 



x; CO 

 en o CO 4J 



• B r^ 



s 





nj CO AJ d 



-H 4J 60 CO 



60 <: 



O 



to to iJ "" c 



-H 4J 60 en 



".Is 



63 O 







M tfl Cfl ,-1 Q) 



3 O S tfl O 



c: OJ CO 



B EH 

 . Id Id 





iH to to .H OJ 

 3 O 3 to U 



OJ TJ T-< JH O 







00 O u 



3 OJ 4J w CLJ 



60 U 





60 O 4J 









U ^ U O i-i 

 -H . 14-. O tfl 



hniq 



xpos 



edic 



in 



B ^ 

 •H CO 

 D. iJ . 



a in -3 





irre 



.S. 



from 



Coas 



arch 



a* en o 



t4 O -r^ B - 

 B p. -3 t4 in 

 J3 X OJ ^4 



•H tfl 



a 0) T3 







^ 01 ^ S 



O OJ n -o 0) 



OJ a OJ OJ 



O CO -H 



4J O CO 





:3 -— ' OJ 



O S S -3 5 







■• r-1 . m 



4-> CD 4J C 















d 



J3 --1 Pi 



d . tfl M 

 o ta M 'H 00 



OJ 14-1 c -W 

 •3 ^ OJ 60 



01 .-1 

 O M 3 





xi ^ ai 

 B B • to ^ 



J= O to ^ -H 60 



S 144 B -H 



1^ ° sl 



OJ >H 



> . tfl 





o 



•^ ^ "d ^ 



to 4J -3 OJ Id 



• -H 





O -H > -rt B 









'-> 



4J Cfl .. tH 



O O O t4 



OJ 3 C 





^ 4J to " -H 



O tJ O t-i 



OJ ^ d 





. 



iiu% . S 



a 3 x: a m 



O t-c 4J 



%..^ 





* -H ^4 to . OJ 



a.0 Si cu^ 



O l-( 4-1 O 



s .. -s 







"S fl °- 2 





3 10 OJ 





CO -3 iH a OJ 





S 03 01 





c 



OJ o •• c 



a en e o en 







B 01 O " B 



P. to a O to 







21 



M > o -H 



<M OJ-S & 



-■ Xl 60 



o 



OJ ti > O •r4 



■H CX 

 < M OJ M )-i 



^' 'd 60 



o 



< 



OJ « C 



£i 18 



OJ c 

 in -r-t 



H 



J= '^ OJ CO "^ " 

 < (O > Id 



U-l JJ cx U 



OJ d 



C/1 -H 



H 



