o . a FLUSHING SOUTH BEACHMARINA, FLUSHING STUOY STUDY OF OF SOUTH BEACH MARINA,OREGON OREGON b R i c h a r dJ. J . Callaway' Ca11away1 byy Richard o IINTRODUCTION N T R O D UC T ION o R e c e n tincreases i n c r e a s e s in Recent i n recreational r e c r e a t ' i o n a and la n dsmall s m a l l commercial c o m m e r c i acraft cl r a f t activities activ'ities h a v e resulted r e s u l t e d iin have n the t h e construction c o n s t r u c t i o n of o f many m a n ynew n e wmarinas. m a r j n a s . Local, L o c a l , state s t a t e and and g o v e r n m e nmust f e d e r a l government mt u s tevaluate e v a l u a t eapplications a p p l . i c a t i o nfor sf o r marina permits. federal m a r i n aconstruction c o n s t r u c t i o npermits. o L i t t l e information i n f o r m a t i o nexists e x i s t s on o n ecological e c o l o g i c a limpacts i m p a c t sof Little o f marinas m a r i n a sor o r of o f construction construct'ion e v e n t ssuch s u c has a s dredging d r e d g i n gand events a n dspoil s p o i ) disposal. d'isposa1. T h i s report r e p o r t concerns c o n c e r n sone o n easpect p e r m i tevaluation process: a s p e c tof o f the t h e marina m a r j n apermit e v a l u a t i o nprocess: This o q u a i i t y impacts w a t e r quality i m p a c t srelated r e l a t e d to t o marina m a r i n acirculation c i r c u l a t i o n and f l u s h i n gefficiency. water a n dflushing efficiency. p h y s i c a l properties T h e s ephysical p r o p e r t i e s vary v a r y with w i t h the w i n d , tide These t h e wind, r a n g e ,water t i d e range, w a t e r density d e n s i t y and and p h y s i c a l dimensions d i m e n s j o n of so f aa marina. q u a l i t y is physical m a r i n a . Water W a t e rquality b y the i s affected a f f e c t e d by t h e degree d e g r e eof of o f l u s h i n g , and a n d sediment s e d i m e nredistribution tr e d i s t r i b u t j o n by q u a fi t y flushing, b y currents. c u r r e n t s . Detrimental D e t r i m e n t a water w l a t e r quality j u v e n ' i l efish c a n determine, d e t e r m i n e ,e.g., € . 9 . , the t h e fate f a t e of of m i g r a t i n gjuvenile can migrating f i s h and b e n t h j c organisms a n d benthic organisms (5,7). (5,7). E c o l o g i c a lstudies s t u d i e s of o f marinas m a r i n a sare Ecological a r e few. f e w . The T h e most m o s tcomprehensive c o m p r e h e n s i have vhea v ebeen been a .16, p e r f o r m e on do n Marina ( 3 , 15, M a r i n adel d e l Rey, R e y ,California C a l i f o r n i a(3, 1 5 ,16, 17, performed 1 7 ,22). 22). Slotta S l o t t a and Noble a n d Noble ((21) 2.I) d ' i s c u s s e the d t h e use u s e of o f berithic b e n t h i c ssediments e d i m e n t saass indicators m a r i n aflushing discussed i n d i c a t o r s of o f marina flushing o t. in in s e v e r a l Pacific several Pacific N o r t h w e s tm quqlity Northwest a r i n a s . Puget P u g e t Sound S o u n d marina m a r j n a water w a t e r quality. marinas. s t u d i e s have h a v ealso a l s o been b e e nconducted c o n d u c t e(10, d( 1 0 , 11, studies l l , 24). 24). 1 0 c e a n o g r a p h e rEnvironmental , n v i r o n m e n t aProtection E l r o t e c t i o n Agency. A g e n c y . Marine Oceanographer, P D i v j s i o n , Corvallis M a r i n e Division, Corvallis E n v ' i r o n m e n t aResearch lR e s e a r c hLaboratory, L a b o r a t o r y , corvallis, Environmental C o r v a l i i s , OR 97330 0 R 97330. l. M AR I NMODEL A OD ESTUDIES M SLT U D IE S MARINA M o s t mathematical m a t h e m a t i c astudies Most sl t u d i e s of o f marina m a r i n acirculation c i r c u l a t i o n and a n dflushing f l u s h i n g have h a v ebeen been o . . c o n c e r n e dw i t h vertically v e r t i c a l l y well-mixed w e l l - m i x e dwaters w a t e r s in concerned with i n one o n e and a n d two t w o dimensions d i m e n s i o n(1, s( . | , 2, 2, 4 6 , 18, l g , 20). 4,, 6, 20).- a H y d r a u f i cmodel m o d e lstudies s t u d i e s of o f small providea s m a l l harbors Hydraulic h a r b o r sprovide l t e r n a t i v e method m e t h o dof of ann a alternative a s s e s s i n gflushing f l u s h i n g ability, a b j 1 i t y , although a l t f r o u g hnot not w j t h o u t deficiencies assessing without d e f j c i e n c i e s related r e l a t e d to t o scale scale d istort'ion. S distortion. e v e r a lh ydraulicm o d e lsstudies tudies o acjfic N o r t h w e sm t a r i n a sh Several hydraulic model off P Pacific Northwest marinas have ave o b e e n conducted c o n du cte dby b y Nece N e ceand a n dRichey R icheyand been andtheir their associates assoc' iatesat the University at the Univer si ty of of (n9 , 12, W a s h i n g t o(9, 1 2 , 13) l 3 ) and a n d by b y Slotta S l o t t a and a n d others o t h e r s at (.I, Washington a t Oregon 0 r e g o nState S t a t e University U n i v e r s i t y (1, 2 9 , 21). 21). 20, o B e c a u s eof o f the t h e small Because s m a l l ssize i z e of o f most m o s tPacific P a c i f i c Northwest N o r t h w e smarinas, tm a r i n a s , u s e of of use n u m e r i c a lmodels m o d e l semploying employing f i n i t e difference g r i d s or numerical finite d i f f e r e n c egrids o r finite f i n ' i t e elements e l e m e n t sis i s not not ractical. always p always practical. o IIii n order o r d e r to t o utilize u t i l i z e the t h e numerical n u m e r i c a l method m e t h o dto i t s best t o its best a d v a n t a g e ,very v e r y small rids w small g advantage, o u l d need n e e d to t o be b e used; u s e d ; for f o r finite grids would f i n i t e difference difference a n a l o g semployin e m p l o y ign gexplicit analogs e x p l i c i t solutions s o l u t i o n s this t h i s would w o u l din i n turn t u r n require r e q u ' i r esmall s m a l l time time s t e p s less l e s s than steps t h a n the t h e grid g r i d size, s i z e , Ax, X , divided d i v i d e d by b y the t h e speed s p e e dof o f aa shallow s h a i i o wwater water o w a v e ,1Jgh, o r aa l1-dimensional wave, - d i m e n s ' i o n asimulation. ( . l 0 0m) sli m u l a t i o n . For g r i d size F o r aa 328 3 2 8 ft f t (100 J g h , ffor m ) grid s i z e in, in, (5 m sdY, a a 20 2 0 ft f t (6 ( d e p t h+ say, e e pm (1 m a r i n a(depth . 3 ft f t (1 tide a m)) d deep marina + 3 3.3 m)) tide amplitude) m p l i t u d e )tthe h e ttime ime s t e p would w o u l dneed step n e e d to t o be b e less l e s s than t h a n13l 3 seconds. g r i d sizes greater s e c o n d s . Smaller S m a l l e rgrid s ' i z e sor o r greater o d e p t h , h, depth, p r o p o r t i o n a t e l y smaller h , require r e q u i r e proportionately t i m e steps s m a l l e r time a n dincreased s t e p s and i n c r e a s e dcomputer computer ttime. 'ime. T h e Oregon Ore g o nmarinas ma ri n a sexamined e xa mined at Oregon 0r egonState StateUniversity The at Univer sity used Fr oudescale usedFroude s c al e m o d e l sas a s did d i d those t h o s econstructed c o n s t r u c t e dat models a t the t h e University U n i v e r s i t yof o f Washington. W a s h i n g t o n .All A l l of o f the the ( e x c e p t that m o d e l studies model s t u d ' i e s(except t h a t reported r e p o r t e dby b y Nece N e c eet a l . , l13) 3 ) were e t al. w e r esite-specific. s i t e - s p e c ' iifc . , O n eadvantage a d v a n t a g eof o f an a n hydraulic h y d r a u l i cmodel m o d e lover o v e r aa numerical One n u m e r i c a one lo n e is i s that t h a t small small scale scale o p e r a t i o n s relating operations relating photot o mixing m i x i n g can c a nbe b ereadily r e a d i l y observed to o b s e r v e and da n dphoto- 2 o g r a p h ' i c a ll yrecorded. re co rd e d . These p henomena graphically T h e sephenomena pr ocesseswhic appr oximatemixing mixing processes approximate whichh take tak e o p l a c e in p ro to typ e . No i n the th e prototype. place N o attempt a ttempt has has been beenmade m adeto to study studyvertical ver tical exchange ex c hange p r o c e s s e in si n either e i t h e r the t h e numerical n u m e r i c aor lo r hydraulic processes h y d r a u l j cmodels. m o d e l s . Rather, R a t h e r ,time t i m e and a n dspace space 'i a v e r a g e swere w e re taken; ta ke n ; the th e water w a te r column col um niss assumed assumed welI mixed averages well in m ' ixed i nthe the vertical. ver t i c al . o T h i s assumption p a s s u m p t i oprevents n r e v e n t sthe t h e reproduction reproductjon This of o f vertical v e r t i c a l or o r horizontal h o r i z o n t a l convection convection cuments. currents. o F I E L DSURVEYS SU R V E Y S FIELD D y ereleases r e l e a s e shave h a v ebeen b e e nused u s e dto t o determine d e t e r m i n eflushing f l u s h i n g rates r a t e s in Dye i n Florida F l o r i d a finger finger (2, c a n a l s (2, canals o 8 23). 8,, 23). n 0 ( 2 0 ) released S l o t t a and a n d Tang T a n g(20) r e l e a s e d ddye y e jin Chetco r e g o n ' sChetco Slotta 0regons e s t u a r y boat b o a t basin b a s i n and a n d compared c o m p a r eresults rde s u l t s w i t h an a n hydraulic a n d a finite estuary with h y d r a u l i c and f i n i t e element element m odel. D model. i s c r e p a n c i e sb e t w e e nfield f i e l d and a n d hydraulic h y d r a u l i cmodel m o d e results lr e s u l t s were w e r edue d u eto Discrepancies between to t h e difficulty d i f f i c u l t y of o f obtaining r o p e rd o b t a i n i n g tthe he p e n s i t y differences e t w e e nd d j f f e r e n c e sb the proper density between dye and ye a n d tthe he o j n the r e c e i v i n gwater w a t e rin t h e hydraulic h y d r a u l i cmodel. receiving m o d e l . Depth-averaged D e p t h - a v e r a g econcentration-vs.-time cdo n c e n t r a t i o n - v s . - t i m e c u r v e swere w e r esimilar, s i m i l a r , however. curves however. I n tthe h e field f i e l d experiments e x p e r i m e n tto tso be b e described, d e s c r i b e d ,dye d y eas a s aa tracer t r a c e r was w a sdistributed In distributed o t h r o u g h o u tthe t h e marina m a r i n aduring d u r i n g the t h e middle throughout m ' i d d l estage o f aa flood f l o o dtide. tjde. s t a g eof l a s t two T h e last two The h o u r s of o f the th e flood fl o o d tide per mit the t'i d e were w e reused usedto to permit hours the dye dyeto to continue contjnuemixing. m ix' ing. An An initjal initial o a v e r a g edye d y econcentration, concentration,C average w a s achieved o , was a c h i e v e dat a t maximum m a x j m uhigh m h i g h tide; tide; CO3 i d e a 1 1 y ,this t h ' i s concentration c o n c e n t r a t i o nremains r e m a j n sconstant c o n s t a n ton o n the t h e following f o l l o w i n g ebb t i d e , while while ideally, e b btide, d y e mass m a s sdecreases. de cre a se s. Assuming dye A ssu mi ngno no return r etur n of of dye dye on on the the next next flood flood tide, tide, the the m a s sof o f dye d y e in i n the t h e marina m a r i n aremains r e m a i n constant sc o n s t a n while mass dn e c r e a s e s tw h j l ethe t h econcentration c o n c e n t r a t ' i odecreases o w i t h an a n increase i n c r e a s eof v o l u m eduring with o f volume d u r j n gthe t h e flood. flood. T h e s e assumptions a s s u m p t i o n sccan b e expressed These a n be e x p r e s s e das a s ffollows. ollows. F o r dye m a s s , M, M , at For d y emass, at -, j n c r e a s i n gvolumes * , decreasing c o n c e n t r a t i o n ,C a n d representing r e p r e s e n t i n gincreasing v o l u m e sas a s +, d e c r e a s i n gas a s -, concentration, C,, and o a n d constant c o n s t a n tas a s a, o , then t h e n for f o r flow f l o w Q, and V: volume a n dvolume V: Q , and 3 o + + Flood F l o>-M, $ Mo o , Cc Q,V. Q*, v*- Ebb q-, Vv--!!! Q, -.-_ o o M , Cco M , T h e n , on o n a flood f l o o d tide, Then, t i d e , mass m a s sis i s constant c o n s t a n t but on b u t CC r MO/V+; M o , / V *o ; n an a n ebb, e b b , MM - M° ilo o - C°V C o V - where w h e re Mo i s the th e mass ma ssat M° is at the the end end of of aa flood flood tide. tide. Note Note that that it i t is 1S j s uniformly a s s u m e dthat t ha t the th e dye d ye is u n i for mly mixed assumed m ixedthroughout thr oughoutthe basin basin at tim e of of at the time i n i t i a l high initial h ' i g htide. tide. F o r the t h e case case o no d i r e c t fresh resent For off no direct water off w water present fresh w a t e r inflow, i n f l o w , the t h e vvolume olumeo ater p o iin n aa marina m a r i n a can c a n be b e evaluated e v a l u a t e din i n terms t e r m s of o f aa mean m e a ntide t j d e level l e v e l volume, v o l u m e , VV o , and and , v a r i a t i o n s about variations a b o u t the t h e mean. m e a n . For F o r aa mean m e a nlow l o w tide t i d e volume V o - A0R/2, v o l u m eV1 V . , == V0 where A o R / ? ,where A o is i s mean m e a nmarina m a r i n a surface s u r f a c e area A0 a r e a and a n dRRis i s the t h e tidal t i d a l range r a n g e from f r o m mean m e a nlow l o w to t o mean mean o high h i g h water. water. j s VU O = V n -- V1 p r i s m volume T h e tidal t i d a l prism The v o l u m e is V l == A0R. This h i s is i s the of AoR. T t h e amount a m o u n tof = Vh water w a t e r on o n an an e ebb b b tide t i d e carrying c a r r y i n g with with c o n c e n t r a t i o nC0. concentration Co. it it ( f o r the a mass att m a s s tiM (for t h e first f i r s t ebb) ebb) a j s , as A t h e end e n d of Att the o f the t h e ebb e b b the t h e mass m a s sis, a s above, above, M r ==MM0 o - C oC0(A0R). (AoR). 0 n the t h e following f o l l o w i n g flood f l o o d tide, t i d e , the On t h e concentration the c o n c e n t r a t i o n decreases; d e c r e a s e s ; at a t the t h e end e n d of o f the o flood, f1ood, C1 Ct = M1/(A0(R+d)), M1l(Ao(R+d)), w h e r edd == depth d e p t h to t o mean where m e a nlow l o w water w a t e r level l e v e l while w h i l e the There t h e mass m a s sis i s unchanged. unchanged. T h e r e is is o jn b a stepwise d e c r e a s e in oth M a stepwise decrease both M and C;; however, between and C h o w e v e r , tthe h e ttime i m e cchange h a n g eb e t w e e ncconstant onstant 'is gradual v a l u e s is p h a s eby r a t h e r than t h a n abrupt values gradual rather a b r u p t and a n dMMare o f phase a n dCCand a r e out o u t of b y 900. 90o. th f o l l o w s that t h a t the follows t h e concentration c o n c e n t r a t i o n after a f t e r the the ith This Thjs equation. e quation. The The rrate ate of of change c h a n g e of of p r o p o r t i o n a l to present: t o the proportional t h e concentration c o n c e n t r a t i o npresent: o o j s CC . , = C o ( V l l v h ) i . fflood l o o d ccycle y c l e is = Co(Vl/Vh)1. r e l a t i o n s h i p ccan an b e explored relationship be e x p l o r e d through t h r o u g h analysis of a n a l y s i s of d differential i fferenti al 4 It It a a first f i r s t order order concentration i's c o n c e n t r a t j o n is assumed a ssumed o dcldt dC/dt o - ( Q/V) c = -(Q/V)C w h e r eQQ== L½AA oRwR usin(wt) rsin(ut) where 0 V V o ++ ½A0R V = V0 si n (u "r+ + t ci), u) , %A osin(wt R j s the a n d wu == 2m/T 2 n /7 is th e frequency per iodT Tand phaseangle. fre q uencyat and at tidal tidal period andac isis aaphase ang1e. o S o l v j n gby Solving b y numerical n u m e r i c adifferentiation ld j f f e r e n t j a t i o n = ct*l = Ct ct Ct+l - glt It, At, V w h e r e the t h e subscripts su b scri p ts are where a re time ti me and and Att is the time is the tim e step. step. o The t1 The ti are ar e in in any any g i v e n time t i m e units, u n i t s , not n o t necessarily n e c e s s a r i l ytidal given c y c l e s , with t ' i d a 1cycles, w i t h the t h e restriction r e s t r i c t i o n that t h a t on on = C a n eebb b b ccycle y c l e C C1 an C.t . t*l = T h e equation e q u a t i o ncan The c a n also b e solved d i r e c t integraa l s o be s o l v e dby b y direct integra- tion. ti on. o South S o u t h Beach B e a c hMarina M a r i n a Characteristics Characteristics The ,;.; o entrance to ar South t-at ( z . B kkin) tBeach . . . h marina m a r i n a iiss 1.5 1 . 5 nautical n a u t i c a t miles m i t e s (2.8 m) jetty at ( Figure 1). end e n d of o f the th e north nor th jetty Oregon Newpor t, Or I ). at Newport, egon(Figure .l574 ' length, ( 480 m); A p p r o x i m a te Approximate marina ma ri n adimensions d i me n si o nare: sar e: length, L, 1574 ft ft (480 m ) ; width, width, W, l'/, 623 623 upstream u p s t r e a m of of the th e ( ] 9 0 m); f t (190 m ) ; depth, ( 4 . .in) I m ) resulting d e p t h ,d, d , at a t mean m e atide nt j d elevel, ft l e v e l ,13.4 r e s u l t i n g in ' i n aa MTL MTL ] 3 . 4ftf t (4.1 o '1.34 v o l u m e ,V0, V o , of volume, o f 1.34 xx lO1 0 - 7 fft3 t s (3.74 mean l O s in3) m 3 ) aand e a nllow i d e volume, v o i u m e V1, ,V l , n d aa m o w ttide G . 7 4 x lO .|.04 .|07 o .l05 j s 6.0 ( . l . 8 3 m) m 3 ) . Mean 5 . 0 ft m) M e a ntide t j d e range, r a n g e ,R, R , is f t (1.83 'l05 (.l.7 r e s u l t ' i n gin i n aa mean r i s m volume, m e a ntidal tidal p resulting prism VPO= = R W,, o off 6.07 v o l u m e ,U f t 3 (1.7 R x LL x W 5 . 0 7 x 106 ft3 .I57 ( a 8in) x lO l 0 s in3). ms). T h e entrance e n t r a n c ewidth The w i d t his ' i s 157 ftf t (48 m ) rresulting e s u l t i n g in i n a mean m e a ncrosscrossof o f 1.04 xx iO ( 2 . 9 0 xx lO ft3 f t s (2.90 in3). ( 197in2). s e c t i o n a l entrance e n tra n cearea, sectional ft2 a re a ,A, A , of o f 2118 2118 fI2 (197 n2) . j s designed T h e marina m a r i n ais d e s i g n e to dt o hold work The t h e time o f the t h e field f i e l d work h o l d600 6 0 0boats. b o a t s . At A t the t i m e of o p i l e s were n o boat no b o a t slips s f i p s or p1ace. D o r piles w e r eini n place. the Dredge was r e d g espoil a s disposed d i s p o s e dof o f on o n the spoil w jetty restricts e a s t bank b a n k of east o f the th e marina. ma ri n a . The fl ow ' fh e marina m ar inabreakwater br eakwaterjetty r estr icts rapid r apid flowthrough. throuoh. o o 5 - o S o u t hBe achMarina Ma ri n aHydraulic South Beach H yd ra u l i cModel ModglStudies Studies a An h yd ra u l i c model An hydraulic mo d e l stu d y of South Beach Beachmarina m ar jnawas wasmade madeby by Richey Rich eyand study of South and (.l9). S k j e l b r e i a(19). Skjelbreia T h emodel m o d e used lu s e daa 1:10 l : . l 0 horizontal/vertical h o r i z o n t a l / v e r t i c a ldistortion The d i s t o r t i o n ratio; rat'io; F r o u d e scaling Froude s c a ii n g was w a s employed e mpol ye d wi th the the following fo11owing scale with scale ratios: r ati os: o n o hor i zontal horizontal llength e n g t h -- 1:480; l : 4 8 0 ; vertical v e r t i c a l length l e n g t h - l1:48; : 4 8 ; vvelocity e l o c i t y - l1:6.93; : 5 . 9 3 ; time t i m e - 1:69.3. l : G 9 . 3 . The The .|2.4 .|0.74 p r o t o t y p e tidal t i d a l cycle c y c l e was w a staken t a k e nas a s12.4 hours prototype h o u r swhich w h i c hrequired r e q u i r e d10.74 minutes m i n u t e sto to .l.8 r e p r o d u c ein i n the t h e model. model. S reproduce i n u s o i d a l ttides ides w e r e used u s e dfor f o r 0.9, 0 . 9 , 1.8 and a n d2.7-m 2.7-n Sinusoidal were r a n g e s . Model M o d e l water ranges. w a t e r density d e n s i t y was w a suniform; u n i f o r m ; boat p i l i n g s and b o a t slips s l i p s and a n dpilings a n dwind wind s t r e s s were w e renot n o t modeled. mo d e l e d . stress A 20% A 2 A %solution s o l u t i o n of o f rhodamine-WT rhodamine-W dTi l u t e d 1:100 diluted l : " | 0 0 was w a s used u s e d as a s aa tracer. tracer. o T h i r t y ml m 1of o f dye d y ewas w a scompletely c o m p l e t e lmixed ym i x e din' i nthe t h e model Thirty m o d eat la t high h i g hwater w a t e rlocation. l o c a t ' i o n . AA T u r n e r Model M o d e l110 l l 0 fluorometer f l u o r o m e t e rwas w a sused u s e dto t o determine d e t e r m i n relative er e l a t i v e concentration Turner at concentration at t h e end e n dof o f four f o u r tide t i d e cycles. the cycles. p ro ce d u rew T h i s procedure a s augmented a u g m ented aphyof by time-lapse tim e- 1apsephotogr lo s s of of This was photography of the the loss o w a t e r soluble s o l ub le dye d ye with photos were water w i th time. t'i me . The The photos wer e analyzed to analyzedby by aa densitometer dens' itom eter to o b t a i n relative r e l a t i v e concentration concentration v e r s u stime. obtain versus time. o 1/; E E =- l_(C/C0)U1, 1 - ( C i / C o ) " ' , were w e r e determined d e t e r m ' i n efrom d f r o m both b o t h the t h e dye d y eand a n ddensitometer d e n s i t o m e t edata. dr a t a . H e r e ,C. Here, C i == concentration c o n c e n t r a t i o nat a t the the tion. tion. I ceo e f f i c i e n t s , defined d e f i n e das E x c h a n gcoefficients, as Exchange j tth h tidal t i d a l cycle c y c i e and a n dC0 C ois i s 'initial i n i t i a l concentraconcentra- E x c h a n g coefficients ceo e f f j c i e n t s thus (.I.8 m t h u s calculated c a l c u l a t e dare f o r the Exchange m)) a r e shown s h o w nfor t h e 5.9 5 . 9 ft f t (1.8 t i d e ' iin n Figures F ' i g u r e s22 and tide a n d3. 3. F i g u r e 22 shows s h o w E-values sE - v a l u e at sa t the t h eend e n dof o f four f o u rcycles. Figure cycles. T h e s eare a r e averaged a ve ra g e dvalues va l u e s and a n d range r ange from fr om about in the southwest These about 0..l5 0.15 in corner ner to southwestcor 0 . 5 in i n the t h e northeast n o r t h e a s corner. tc o r n e r . Low 0.5 L o wvvalues a l u e s correspond correspond t o relatively r e l a t i v e i y low l o w flushing to flushing a w h j l e higher h i g h e r values v a l u e sindicate g r e a t e rflushing. while i n d i c a t egreater flushing. T h ' i s iis s shown F i g u r e3, This s h o w nin i n Figure 3, w h e r e individual individual C where C/C j l C o vvalues a l u e s are f o r station a r e 0.35 0 . 3 5 for s t a t j o n 33 and a n d0.1 0 . . l for f o r station s t a t ' i o n4. 4. = .23 T h i s corresponds c o r r e s p o n d stto o E . 2 3 and f = a n dEf == .44 This . 4 4for f o r stations respectively, s t a t ' i o n s33 and a n d1,l , respectively, o o w h i c his i s in i n the t h e range r a n g eof g i v e nin p r e v ' i o uFigure. sF i g u r e . t h e values v a l u e sgiven o f the i n the which t h e previous 6 o T h em a i nconclusions c o n c l u s i o n sof o f the t h e hydraulic The main model h y d r a u l i cm o d e lstudy e r eas studyw a s follows: follows: were o I. 1. T h e basin b a si n The g o od hydr h a d good had auli c hydraulic char acter istj cs characteristics except for for except poor poor e xch a n g in ei n the th e south so u thcorners. exchange cor ner s. 2 2.. j n the G o o dexchange e x c h a n gis ei s due d u eto t o strong s t r o n gcurrents c u r r e n t sin t h e main m a i nchannel Good c h a n n epassing lp a s s i n g tthe h e marina m a r i n aentrances e n t r a n c e swhich w h i c hcan c a n introduce i n t n o d u c eturbulent t u r b u l e n t eddies e d d i e s on o n flood flood o p r e v e n trecirculation t i d e and a n d prevent r e c i r c u l a t i o n on o n the t h e ebb. tide ebb. 3 3.. o T h e currents p a st the cu rre n ts past the entrance entr anceimprove impr ovethe the exchange exchange The coefficient coefficient, by by a b o u t 25% 2 5 %over o ve r that th a t were wer ethe the entrance quiet bay. about entr ancesituated sjtuated on on aa quiet bay . F ' i e l d Float F l o a t Studies Stud'ies Field o p o l e s of W e i g h t e dpoles ( . l . 8 3 , 22.44, . 4 4 , 3.05, o f 6, 5 , 8, 8 , 10, Weighted 1 0 , and a n d 12 1 2 ft f t (1.83, 3 . 0 5 , and a n d3.66 3.GG m) in) .l979, s u b m e r g e dlength submerged l e n g t h were w e r e rreleased e l e a s e d and a n d ffollowed o l l o w e d on J a n u a r y 17-18, o n January l 7 - . l 8 , 1979, in in c o n j u n c t i o n with with conjunction o a a p o l e positions p o s i t i o n s were d y e rrelease; e l e a s e ; pole dye fixed w e r e fixed b y sextant. sextant. by E asterly w i n d s ranged ( , l . 5 - 5m/s) r a n g e dfrom f r o m3-10 3 - 1 0(1.5-5 m / s ) on o n the Easterly winds t h e first f i r s t survey s u r v e yday w h i c hwas d a y which was cconducted o n d u c t e do a n ebb e b b tide; t'i d e ; 10-knot l 0 - knot winds wi nds determined deter mned i onn an the the main m ain direction di r ect' ionof o f all al I p o l e trajectories tnajectories d u r i n g this t h i s ebb e b b cycle c y c l e although a l t h o u g haa northwest n o r t h w e s water tw a t e rcurrent pole during current o c o m p o n e nttoward to w a rd the pr esent. component th e entrance e n tra n c ewas waspresent. Tide decreased decr easedfrom fr om aa maximum m ax i m um Tide .l.2 ( L H W )h eight o ( 2 . 1 inm to 5 . 9 ft f t to (LHW) height off 6.9 t o 3.9 3 . 9 ft f t (2.1 t o 1.2 in), m), a b o u tmid-tide. aximum about mid-tide. M Maximum p o l e velocities v e l o c i t i e s observed o b s e r v e dfor f o r the p o l e swere (26 t h e 66 and a n d88 foot f o o t poles w e r e0.8 0 . 8and f p s (26 pole a n d0.9 0 . 9 fps o a n d27 2 7 cm/s), c m,/s),respectively. re sp e cti ve l y. and W i n ds w e re less l e ss than th a n 33 knots Winds were k nots from fr om the west west on on the the January Januar y18 l8 survey. sur v ey . T j d e s increased ( . l . 9 m) i n c r e a s e dfrom ( 2 . 3in) ( H H w ) . Although f r o m 6.2 6 . 2 ft f t (1.9 m )to t o 7.5 7 . 5ftf t (2.3 m ) (HHW). Tides A l t h o u g hthis this o study w a s only o n l y conducted co n d u cte dfor pole trajectories fo r aa short shor t time, tim e, pole study was tr ajector ies show that surface sur fac e showthat w a t e r near n e a r the t h e entrance e n t r a n c ehad h a daa net water n e toutward o u t w a r direction dd j r e c t j o nwhile w h j l ethe t h e deeper d e e p e layer r'layer s h o w e inward di n w a r dmotion. m o t j o n . Thus, showed T h u s , there t h e r e was w a ssome s o m eflushing t h e 'incoming i n c o m i n gtide f l u s h i n g on o n the t i d e in in o o t h e upper u p p e rlayers. the layers. 7 o Field Field o Sludies l y g Studies R h o da mi n e -WT Rhodamine-WT was w a s released re l e a sed for for about about one one hour hour over over the the entire entir e marina mar i na (Figure4 starting a (Figure 4)) starting about hours before water b o u t four four h o u r sb e f o r e sslack lack w f l o o d tide. a t e r on o n flood tide. Visual Vjsual o b s e r v a t i o n sfrom f r o m the t h e U.S. H i g h w a 101 y1 0 i bridge p l a n e did observations U . S . Highway b r i d g e at at n d aa light l i g h t plane did a t Newport N e w p o rand o n o t reveal r e v e a l any a n y obvious o b vi o u shigh patchconcentrations. not h i g h or o r low low surface dye patch sur facedye concentr ations. ( Z l kg) F i f t y - o n e lbs l b s (23 ( ] 9 0 1) g a 1(190 k g ) of o f 20% Fifty-one dye d y ewas w a sdiluted 20% d i l u t e d with w i t h 50 5 0 gal l ) of o f seaseaw a t e r to t o approximate a p p ro xi ma tereceiving ( 2.|0- l) drum; re ce i vi ng water ga1 (210-1) water water density density from fr om aa 55 55 gal dr u m ; it it o w a s discharged d i s c h a r g e dat ( 3 1/mm). was g a l , / m i n(3 a t about a b o u t0.8 0 . 8 gal/mm l/min). Two T w omethods m e t h o d sof o f release r e l e a s ewere were used. u sed. 0 ( 4 . 6 m) p o le with Onn the t h e first f i r s t survey, s u r v e y , aa 15 l 5 ft f t (4.6 m ) hollow w ' i t h aa h o lI o w aluminum a l u m ni u mpole h o r i z o n t a l discharge d i sch a rg etube tu b e at a t the horizontal the bottom bottomwas wasraised r aised and as the w as andlowered lower edas the dye dy e was o released. released. T h e outboard o u tb o a rd motor pathsthroughout mo to r vessel The vessel made m aderight r ight angle thr oughoutthe anglepaths the marina. m a r i n a . On 0n the th e second gar denhose se co n dsurvey, su rve y, aa garden wastowed hosewas 45ofrom towedat at about about45° fr omthe the s u r f a c e to t o bottom b o tto mbehind b e h i n dthe th e boat ts surface water column; ports thr oughoutthe b oat throughout the water dischar gepor column;discharge o iinn tthe h e hose ho se at at about a b o u t I1.5 . 5 ft ft 'l increments i ncr em entsallowed al owed for m or eeven evenvertical ver ti c al for more d i s t r i b u t i o n of o f the t h e dye d y e than distribution t h a n occurred f i r s t survey. o c c u r r e don o n the t h e first survey. A t the t h e locations l o c a t i o n s shown shown At in i n Figure F i g u r e44 hourly h o u r l y samples t h e surface, s a m p i e at sa t the s u r f a c e , midmid- o d e p t h and a n d about a b o u t 1.5 I . 5 meter depth me te rfrom fro m the wer e drawn the bottom bottomwere fr om aa continuous contj nuou sflow fl ow dnawnfrom h o s e - p u marrangement. hose-pump ap rra n g e me n t. S Samples weree taken taken at at hourly a mp leswer for the first hour ly intervals inter vals for fi r s t 14 h o u r s an n d ma xi mum 14 hours andd a att mi midd a and maximum high and low low tides ther thereafter until back background h' igh and eafter until gr ound a I e v e ls were w ereapproached. levels a p p ro a ch e d . S a m p l e sw e r e analyzed a n a l y z e do Samples were onn board b o a r d by b y aa Turner T u r n e r111 f l o w - t h r o u g hfluorometer fluorometer l l l flow-through f i t t e d with w i t h 546-p fitted 5 4 5 - pexcitation e x c i t a t i o n and a n d590-p e m i s s i o nfilters. 5 9 0 - pemission filters. o fso r analysis Samples S a m p l efor analys'is .l25-ml i n the t h e laboratory l a b o r a t o r : ywere w e r ecollected in c o l l e c t e din i n 125-ml screw-cap s c r e w - c acontainers pc o n t a i n e r safter a f t e r local local equiijbrium w a s reached r e a c h e das equilibrium was a s indicated i n d i c a t e don o n the t h e field T h e Turner Turner f i e l d fluorometer. f l u o r o m e t e r . The D e s i g n sfluorometer f l u o r o m e t e rw a s used Designs was u s e din i n the l a b o r a t o r y . Frequent t h e laboratory. F r e q u e n field tf i e l d calibration calibratjon a o 8 o w a s made; m a d e ;laboratory l a b o ra to ry standards sta n d a rdswer used before befor e and was weree used and after after each each run, r un, values val ues o rreported e p o r t e d here he re are a re from fro m the th e laboratory l a b or ator y analyses. analyses. F I EL DSTUDY ST UDRESULTS YESULTS R FIELD .|979 o T h e 1978 1 9 7 8study stu d y was w a ssimilar si mi l ar to to that that of of 1979 except The exceptfor for the the following foilowing difdi fferences: ferences: l1)) average a v e r a g ettide i d e ranges rangesw e r e 7.9 7 . 9 and a n d 4.9 ft were 4 . 9 ft .|.5 ((2.4 2 . 4 and a n d 1.5 m), m), r e s p e c t i v e l y; 22)) water w a te r column co l u mndensity respectively; density was gr eater rate was different, differ ent, with with aa greater r ate of of o cchange h a n g eof o f density d e n si ty with w i th depth d e p thfor for the the 1978 1978study; study; 3) the method 3) the methodof of introducing intr od uc i ng t h e dye d y e was w asdifferent. d i ffe re n t. the Stratification w a s slight s l i g h t on o n each e a c hstudy, s t u d y , the t h e main m a i ndifferences Stratification was d i f f e r e n c e sbeing b e i n gdue due o tto o ttemperature. e m p e ra tu re . Salinity S a l i n i ty and a nd temperature-depth ofiles showed temper atur e- depthpr showedaa gradual profiles gradual d e c r e a s ein i n temperature t e m p e r a t u r efrom f r o m 15.6°C l 5 . 6 o Cto t o 14.6°C l 4 . 6 o Cand a n dincrease i n c r e a s ein i ' n salinity decrease s a l i n i t y from from o/oo 3 . | . 5 to t o 32.1 3 2 . . |0/00 from f r o msurface s u r f a c eto 31.6 t o bottom b o t t o mfor f o r 1978. 1978. o I 978 Survey 1978 Survey A t t e m p ts to d i stri b u te dye d ye evenly evenly throughout thr oughoutthe the water water column Attempts to distribute colum nwere we r e not not o c o m p l e t e l ysatisfactory. sa ti sfa cto ry. completely F i g ur e 55 shows showssurface, sur face, mid m id and bottomdye Figure andbottom dyeconcenconc en- t r a t i o n s at ( r e f e r to a t station s t a t j o n 66 (refer trations t o Figure F i g u r e4). 4). T h esurface m i d d l econcentras u r f a c eand a n dmiddle The concentra- .I400 ttion i o n were w e r e nearly n e a ri y equal e q u a i at a t about a b out 1400 on on 9/15/78, 9/15/78, but bottomsample but the the bottom w as sam pl ewas o q u i t e low; i n i t i a l l y quite initially 1 o w ; all all ssamples a m p l e sa p p r o a c h e deequality approached q u a f i t y aafter fter a about b o u t 0600 0 6 0 0 on on 9 / 1 6 / 7 8 . Surface S u r f a c econcentrations 9/16/78. c o n c e n t r a t i o n for sf o r all all o 5 stations s t a t ' i o n sover t h e duration o v e r the o f the the 6 d u r a t i o nof e x p e r i m e nsshowed t howed ssimilar i m i l a r cconcentrations o n c e n t r a t i o n seexcept x c e p t ffor o r sstation experiment 1,, w which tation 1 h i c h ddecreased ecreased .1 8 0 0 rrapidly a p i d l y to t o about a b o u t1800 on o n the th e first fi rst day. day. Bottom with time Bottomconcentration concentr ationwith time showed s how ed sstation t a t ' i o n t having h a vi n g lower ( 9/15) l o w e r concentrations co n ce ntr atjonsthan than all all the until 2200 the others other s until 2200(9/15) 1 w h e n ,again, a g a i n , the t h e concentration concentration when, lines l ' i n e smerged. m e r g e d . Stations a n d33 showed S t a t i o n s22 and s h o w eseveral ds e v e r a l o o sspikes p i k e sw h i c hwere w e r enot n o t apparent a p p a r e nin ti n the which o t h e rvalues. values. t h e other 9 flo F i g u r e 66 shows s h o w svalues v a l u e sof o f C.IC0 Figure C r l C oaveraged a v e r a g e for df o r all a l l stations. stations. o The T h e modified modified p r i s m and prism a n dnumerical n u m e r i c a lm model o d e l rresults e s u ' l t s are a r e also a l s o sshown. h o w n . Considering C o n s i d e r i n gthe the tidal tidal v a r i a b i l i t y of p a t c h e s ,the o f the t h e dye d y e patches, t h e first variability f i r s t 77 hours h o u r sare i n reasonable a r e in r e a s o n a b lagreement. ea g r e e m e n t . A rapid r a p i d decrease d e c r e a s ein i n concentration c o n c e n t r a t ' i o nis i s shown s h o w nfrom A hours from h o u r s 7 to 1 2 in i n the t o 12 t h e models models o a n d in and i n the t h e field f i e l d data. data. T h e latter, l a t t e r , however, h o w e v e r continue ,c o n t i n u eto The t o show s h o wdecreases d e c r e a s e sto to .|8 . about a b o u thour h o ur18. T h e1978 1 9 7 8field f i e l d data d a t a can c a n also a l s o be The with b e compared c o m p a r ew d i t h the t h e hydraulic h y d r a u l i c model m o d e lresults results o ( 2 . 7 ' n ) range f o r the t h e 8.8 8 . 8 ftf t (2.7-rn) for r a n g etests. tests. Exchange E x c h a n gcoefficients ceo e f f i c i e n t s in i n the t h e hydraulic hydraulic m o d e lranged r a n g e dfrom model f r o m0.44 ( . l . 8 3m) 0 . 4 4to t o 0.52. A . 5 2 . Interpolation I n t e r p o l a t i o n between the between t h e 66 ft f t (1.83 a n d99 m ) and (2.74 m g i v e EE - 0.44 fft t (2.74 m)) ranges ( 2 . 4 rn) r a n g e sgive a . 4 4 for f o r the t h e 8 ft f t (2.4 m ) range r a n g efound f o u n din the i n the o field. field. T h ee x c h a n g ccoefficient eo e f f i c i ' e n t b rismm a s e do he p The exchange based onn tthe prism method 0.5 e t h o dis is 0 . 5 for f o r tthe t h e 8 fft range. range. gives C T h j s gives This C-va1ues r - v a ' l u e of so f 1, l, 0 0.55, . 5 5 , 0.30, 0.30, starting w ith C t l C o== 1. starting with C/C0 l. o clearly clearly show s h o w rapid rapid ... onn alternate o a l t e r n a t e high h i g h tides tides F i e l d , hydraulic h y d r a u l i c and Field, m a t h e m a t i c amodel ml o d e results lr e s u i t s all all a n d mathematical flushing flushing ffor or this thjs ttide ide range. range. The hydraulic The h y d r a u l i c and and m a t h e m a t j c amodel l o d e l results mathematical m r e s u l t s are a r e essentially e s s e n t i a l l y equivalent e q u ' i v a i e nbut tb u t underestimate the u n d e r e s t i m a tthe e d y e removed r e m o ve when dw h e ncompared dye co mp a rewith w d i th the the field field study. study. o 1979 I 9 7 9 Survey Survey .|979 F o r the t h e 1979 survey s u r v e ythe For t h e sampling s a m p l i n gstation s t a t i o n location l o c a t i o n was w a sessentially e s s e n t i a l l y the the o ssame a m ea eforee Figure x c e p ttthat ass b before except off tthe was eliminated h a t sstation tation 3 o h e 1978 u r v e yw a se 1 9 7 8ssurvey l i m ' i n a t e d((Figure 4). 4). ( n o t shown) P l o t s (not s h o w n of )o f all Plots a l l stations s t a t i o n sat a t the t h e surface, s u r f a c e ,middle m i d d l eand a n dbottom b o t t o mshow show O b etterin itial better initial mixing m i x i n gthan Station t h a n in i n ' 1978. 1978. S t h e NE initially t a t i o n 1, l , in i n the N Ecorner, c o r n e r , initially s h o w e dhigher h i g h e r concentrations quickly merged co n ce n tra ti o n sthan showed with than the other stations but quickly w i th the other stations but mer ged the t h e rest. rest. A l l data d a t a showed All s h o w e an da n increase i n c r e a s ein t o 77 i n CS/C C i / C o ratios r a t i o s from f r o m about a b o u thour h o u r 33 to o 10 10 Sa ((ebb e b b cycle) c y c le) while w h iI e values va 'lu e s at a t station stat' ion44 indicated i ndicatedrecirculation r eci r cul ati on south south along a1on g the the a w e s t side s i d e of o f the t h e marina. west marina. T h e hydraulic h y d r a u l i c model ( , l 9 ) show m o d e l results r e s u l t s (19) The s h o wan a naverage average i n t e r p o l a t e dexchange interpolated exchange ccoefficient o e f f i c j e n t of o f 0.3 0 . 3 for t h e 66 ft f o r the f t range. r a n g e . The T h e high h i g h tide tide C r l C o - v a l u eat sa t station stat'ion C/C0-values o n the jn I jin t h e model m o d e land a n d field f i e l d are a r e close; c l o s e ; there t h e r e is i s an a ninitial i n i t i a l rapid r a p i d decrease d e c r e a s ein 1 c o n c e n t r a t i o nto t o about a b o u tC./C0 C i / C o = 0.2 concentration g r a d u a ldecrease A . 2 followed f o l l o w e d by b y aa gradual d e c r e a s eto t o 0.1 0 . . l at at t h e fourth f o u r t h tide t j d e cycle. the c y c 1 e . Figure F i g u r e 77 sshows h o w stthe h e average C i / C o results f o r the the a v e r a g eC1/C0 r e s u l t s for o h y d r a u l i c model mo d e l as hydraulic a s taken ta ke n from fro m Figure Figur e 3, 3, and and the the mathematical mathem atical m odelvalues. va l ues . model F o r the t h e average a v e r a g eresults, r e s u l t s , the g i v i n g Vl/Vh t h e discrepancy d i s c r e p a n c is yi s rather r a t h e r large i a r g e giving VrlVn= For 0 . 6 4 which w h i c hresults r e s u l t s in i n alternate a l t e r n a t e high h i g h tide t ' i d e C./C0 I , 0.64, C i / C ovalues v a lu e sof 0 . 5 4 ,0.41 0.4.l 0.64 o f 1, o A f t e r hour h o u r 12, 1 2 , on After o n the t h e second s e c o n debb w h e nthe e b btide, t i d e , when t h e concentration c o n c e n t r a t i o should ns h o u l dremain remain c o n s t a n t , there t h e r e was constant, w a s only o n l y aa s 1i g h t slight s t r a i g h t e n in g out of o u t of straightening the the t h e curve; c u r v e ; the p r e d i c t e d and a n d observed o b se rve dcurves cu rve smerged m er gedafter after the the second flood tide. tide. predicted secondflood o C o m p a r i s o noof sf Figures F i g u r e s 66 and a n d77 show show t h a t normalized n o r m a l i z econcentration-time dc o n c e n t r a t i o n - t i m e Comparisons that q u i t e similar c u r v e sw e r e quite s i m i l a r with w i t h respect first r e s p e c tto t o the d e c l j n eduring d u r i n gthe t h e first curves were t h e sharp s h a r pdecline .l 9 7 9 f l o o d cycle. c y c 1e . The T h e 1979 curve flood cu rve shows showsaa steeper decr ease steeperexponential exponentialdecrease towar dbackbac k toward o g r o u n dconcentration. concentratjon. ground SUMMARY ANDCONCLUSIONS SUMMARY AND CONCLUSIONS a S o u t h Beach B e a c hmarina geometricm a r j n a has h a s aa single South s i n g l e entrance e n t r a n c eand i s uncomplicated u n c o m p l j c a t e dgeometrica n dis a 1 l y ; it it h a s ffree ree e x c h a n g ew i t h tthe h e r e rrather he m ain n a v i g a t i o n cchannel hannelw a t h e r llarge arge ally; has exchange with main navigation where ccurrents u r r e n t s develop d e v e l o pduring d u r i n g ebb e b band a n dflood f l o o d tides. tides. o M a t h e m a tci a l Mathematical a n d hydraulic and h y d r a u ii c m o d esl models resul ts results w e lI a g r e e d well agreed w h e n exchange exchange when c o e f f i c i e n t s were w e r e averaged a v e r a g e dover o v e r the t h e entire h y d r a u l i c model. coefficients e n t i r e hydraulic model. g r e a t as F i u s h ' i n g efficiency e f f i c i e n c y near n e a r the t h e marina e n t r a n c e is i s about a b o u t twice t w i c e as a s great as Flushing m a r i n a entrance o tthe h e inner i n n e r harbor h a r b o r as i n d i c a t e d by a s indicated h y d r a u l i c model h'igh-tide b y the t h e hydraulic m o d e l over o v e r four f o u r high-tide 11 11 l. ccycles. ycles. . a Field Field rresults e s u l t s show s h o wsimilar s i m i l a r spreads s p r e a d salthough a l t h o u g hvariations v a r i a t j o n s are a r e more more e x t r e m eamong extreme a mo n stations. gsta tj o n s. N e i t h e r the t h e hydraulic Neither h y d r a u l i cnor n o rmathematical m a t h e m a t j c amodels l o d e l s successfully m s u c c e s s f u l l yreproduced reproduced e a r i y flushing f l u s h i n g events; e v e n t s ; both b o t h underestimated u n d e r e s t i m a t ethe early tdh e first f i r s t flood f l o o d decrease d e c r e a s ein' i nconcenconcen- a t r a t i o n by tration b y about a b o u t30-40%. pr edictedand 3 A '4 0 %. Thereafter T h e reafterthe p ar al the predicted curves andobserved obser ved cur vesparall e l l e d each e a c h other, o t h e r , although lelled a l t h o u g hthe t h e model-predicted m o d e l - p r e d i c t e dcurves c u r v e sremained r e m a i n e higher. dh i g h e r . In In p o l l u t a n t concentrations, t e r m sof o f pollutant c o n c e n t r a t j o n sboth ,b o t hmodel terms m o d eresults lr e s u l t swere w e r emore m o r conservative. ec o n s e r v a t i v e . o Hydraulic Hydrauiic m model o d e l sstudies p r e d i c t e d that t u d i e s ssuccessfully u c c e s s f u l l y predicted that t h e South the S o u t hBeach Beach m a r j n a would w o u l dhave h a vesatisfactory sa ti sfa cto ry exchange exchange because marina because of of the the strong str ong currents m ov i ng cur r ents moving p a s t the past t h e entrance. entrance. T h e s eentrance e n t r a n c ecurrents These c u r r e n t s undoubtedly u n d o u b t e d lprovide yp r o v i d esignificant significant a p r o c e s s e sthrough t r a n s f e r processes t h r o u g hvortex g y r egeneration. v o r t e x motion g e n e r a t i o n . It transfer and mot'ion a n dgyre i s unlikely I t is unlikely t h a t aa marina m a r i n aof o f similar s i m i l a r dimensions d i m e n s i o nwould s o u l dbe w that b eas w e l l flushed a s well f l u s h e dif i f it i t were w e r esited sited iin n a less l e s s active a c t i v e environment. env'ironment. o T h e mathematical ma th e ma ti caand la n d hydraulic h yd r aulic model The raises m odelcomparison com par ison r aises doubt to the the doubt as as to j f one n e e dfor f o r hydraulic h y d r a u l i c model m o d e lstudies s t u d i e s of need o f small s m a ' l marinas lm a r i n a sif o n ecan c a nbe b econtent with c o n t e n twith predictions. conservative c o n s e r v a t i v e predictions. o For F or m marinas a r i n a s of of similar similar ' i n ssimilar dimension d i m e n s ' i o nin 'imilar j n aa matter o o dapproximations llocations, ocations, g a p p r o x i m a t i o nof f l u s h i n g efficiency good os f flushing e f f i c i e n c y can b e made c a n be m a d ein matter o f minutes m ' i n u t e susing u s i n gsimple of s i m p l ebox-model b o x - m o d eassumptions. al s s u m p t i o n s .However, H o w e v e rthese t,h e s eresults r e s u l t s cannot cannot b e extrapolated e x t r a p o l a t e dto t o other o t h e r marinas be m a r i n a swith w i t h multiple m u l t i p l e entrances, e n t r a n c e s significantly ,s i g n i f i c a n t l y dif djf- a f e r e n t width-to-length w i d t h - t o - l e n g t hratios r a t i o s or ferent o r environmental e n v i r o n n e n t asettings. sl e t t i n g s . ACKNObJLEDGEMENTS ACKNOWLEDGEMENTS O I thank t h a n k Bill p r i m a r i i y responsible B i l l McDougal M c D o u g for af o l r field I f j e l d assistance; a s s i s t a n c ehe ;h e was w a sprimarily responsible f o r the t h e success s u c c e s sof for 1 9 7 9dye o f the t h e 1979 d y erelease. r e l e a s e . Mike M i k e Gates a s s j s t e din ' i n data d a t areducreducG a t e sassisted ttion; i o n ; George G e o r g eDitsworth, D ' i t s w o r t h Allen ,A 1 1 e nTeeter, T e e t e r ,Lan L o nBentsen, B e n t s e nand ,a n dKarl K a r l Rukavina R u k a v i n assisted a ssisted o o 12 T2 o i n the t h e field f i e l d and in a n d laboratory. l a b o r a t o r y . Drs. D r s . R. R . E. E . Nece, N e c e L. ,L . S S l o t t a , and a n dR. S.. Slotta, R . S. S . Swartz Swartz o m a d emany m a n yhelpful h e l p f u l comments co mme n on ts made o n the the manuscript. manuscr ipt. A p p e n d i xI. Appendix I. -- References R e fe re n ce s O 1. A s k r e n , D. 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T h eM a r i n eEcology o f Marina M a r i n adel E c o l o g yof d e l Rey R e yHarbor, Harbor, o Caljforn'ia. California. Allan Allan H a n c o c k Foundation, Hancock F o u n d a t ' i o n ,USC-SG-2-77, U S C - 5 G - 2 - 7 7University U , n i v e r s i t y of of pps, 1977. S o u t h e rnCalifornia, Southern C a lj fo rn 'i a , 424 4 2 4pps, 1977. 15 15 O 23. 23. v a n de d e Kreeke, K r e e k e ,J., van J . , Carpenter, c a r p e n t e r ,J. J . H., H., a n d M c K e e h aD. nD, . sS.. andMcKeehan, i n Closed-End C ' l o s e d - E nResidential in Rde s j d e n t i a Canal. l C a n a l . Journal J o u r n a lWaterways, W a t e r w a y sHarbors H, a r b o r and sa n dCoastal Coastal . o .l03 E n g i n e e r i n gDivisions, D i v i s i o n s , ASCE, ( l , l } . l lp ) p s 161-166, Engineering A s c E ,Volume V o l u m 103 e (WWI) pps r 6 r - r 6 6 , 1977. 1977. 24. 24. Y e a r s l e y , J. Yearsley, J. Unpublished M a n u s c r i p ton Unpublished Manuscript o n File, F ' i 1 e ,Environmental E n v ' i r o n m e n tProtection aPlr o t e c t i o n A g e n c ySeattle, ,S e a t t l e , Washington, Agency, 1974. Washington 1, 9 7 4 . o A p p e n d iII. xI I . Appendix - - Notation Notation T h e following f o l l o w i n g symbols s y m b o l swere w e r eused aper: The u s e din i n this thjs p paper: flO A A = cross-sectional c r o s s - s e c t i o n a or lo r p l a n f o r marea planform area O r . o W W = marina = m a r i n awidth width a 0 = p h a s eangle phase angle C C - cconcentration oncentration Ax = g r i d length = grid length d d = mean = meantidal tidal depth depth w ul = frequency frequency((= 2rtIT) 2n/I) E f = = exchange coefficient e x ch a n g e co e ffi ci e n t g g = g r a v'i ty gravity [ h = maximum m a x i m udepth, dme p t h , shallow shallow water w ate r wave w a ve o HHW H H W= h i g h e r high higher h i g h water w a te " O w a t e rMotions Water Motions i j = tide t i d e cycle cYclt I L L = mmarina a r i n a llength ength Subscripts Subscrpts i h h _ high = h i g h water water 1 I - low = low water water o o = mean = meantide p p = tidal rism t'idal p prism t t _ ttime j m e s step rep = LHW LH}./== lower lower high high water water M M O O U o = dye = d Yemass ma ss MTL M T L == mean m e a ntide t i d e level level R f, = = tide t i de range ra n g e I f = period = tidal t i d a l period V V = volume = volume Superscripts super sc.ipts - - = denotes = values d e n o t e sdecreasing vaiues decreasing + + = denotes = d e n o t e sincreasing i n c r e a s i n gvalues values 0 0 - denotes = denotesconstant val ues constantvalues 16 15 . o S o LIST L I S TOF O FFIGURES FIGURES . o Fig. Fig. Fig F ig . 1 1. Y a q u i n aEstuary E stu a ryentrance e n tranceand Yaquina marina. andSouth SouthBeach mar jna. Inset: Inset: Beach place map. place m ap. 2. E x c h a n g ecoefficient c o e f f i c i e n t isopleths, Exchange i s o p l e t h s , South m a n i n ahydraulic S o u t h Beach B e a c hmarina model h y d r a u l i c model 2 ((19) .|9). T ( . l .83 8 3m) i d e range, r a n g e ,66 ft Tide f t (1 m). o Fig. F i g . 33.. Re l a ti ve dye ( Cilco) versus d ye concentration co n ce n tr ation(C/C0) Relative ver sustidal Beach h tidal cycle. cyc1e. South South Beac m a r i n ahydraulic h y d r a u l i cmodel marina m o d e(19). l( l S ; . o Fig. F i g . 44.. S o u t hBeach B e a c hmarina South m a r i n afield f i e l d sampling s a m p l i n stations, gs t a t i o n s , 1978-1979. . l 9 7 8 - ' 1 9 7 9 .Dashed D a s h e dline line is p p ro xi ma tedye is a approximate d ye release re 'leasetrack. tr ack. Fig. F j g . 55. . ( p p b ) . South S u r f a c e ,middle, m i d d l e , and Surface, concentration (ppb). a n dbottom b o t t o mrhodamine-wt rhodamine-w cto n c e n t r a t i o n South .l978. B e a c hmarina, m a r i n a ,September Beach S e p t e m b e15-16, 1r5 - 1 6 ,1978 o Fig. F'i9.5 6.. CjlCo) averaged Relative Re l a tj ve dye d ye concentration co n ce ntr ation ((C/C0) aver agedover over depth and model m odel depth and c o m p u t a t i o nversus computations vse r s u stime. time. o Fig. F'ig. 7 7.. .|978. South S o u t hBeach m a r i n a ,September S e p t e m b e15-16, 1r5 - 1 6 , 1978. B e a c hmarina, CilCo) averaged Relative Re l a ti ve dye d ye concentration co n ce ntr ation ((CIC0) aver agedover over depth and model depth and m odel c o m p u t a t i o n versus sv e r s u stime computations 1979 t ' i m e . Sau.h S o u l hBeach B e a c hmarina, m a r i n a ,January l7-.|8,'1 979. J a n u a r y17-18, o o o S o S o t S o /\ N z+ I Beach *p E$s 1000 2000FEET 300 600METERS 6 .E t-uJ lrl F qJ trJ := NEWPORT F (r o xo I NV330 . to I J or r(J t(2. ,rnro\-r,J\3{d 0 o ;< \-4\ FO ol- SlJl3Vd 1 0- l - u\s 0 I tlr "m aN.) l$ U- "; t,, 0 o7 9 ot-o tv- oto igo o ORE. C0- WASH. o 1 =o 3 =9 I I 5 fr- 9O MILES E. L YAQUINA ESTUARY zrt.L5 I' i 2 i..r ). o- , o o ? 100 0 100 KILOMETERS E UJ 0 I d \\ a 5000 gJ ,, >- S o+o '-Li AVft\Y{" ,.-,,.-- \rrUd o s+H -1 / ,y / = trJ z FT8 I, o- / / S o South S o Mar/nc S o / (;L4w4(;f { f;i'**tt;,+*.{ , F *i u.i:- u; * t I t"': :': . a o o rF N );; G O .45 .4 . o .35 .3 o ' o r o o 0 o # I I o 0 ' I 400 FEET 400 FEET 200 2oo I 50 5b I I I I I .25 I 100 loo I I ETERS l150 5 o MMETERS I I 1.0 of / If, uollDrluasuo]a^!lDlau I H a H L E x / \ roN @ o r \r L E * H I l x I I H I x I L H x.-x------x-..x x N 0 x-_ \ a) sa x-4 _x_0X x a . s Scale Model Samp/iq Stations S (4 \ 4- S t s $ o >0.2 C 0 S o 00.8 0 o I x x e o o o S o o o p78 0 a /978 t97e o o /979 w o Start A^snrr -'T\ Fl i I -1,+l Finish and andFin/si; s r<l'"\ of Dye ReReof Dye Track lease leose Track rDi (o o N \ 4*t5. \ il.t-=*" ---h 441 o 61 \ rr I i I \ -JJ 4I la-i< l'r atr 4 ril o \ I \ I :e;eL t', o / # I I- I o ? O 0 400 FEET 400 FEET 200 200 o o 1 I J 50 50 I I I I j I5OMETERS METERS IOO 150 100 00 (PST) o o . F- a (L -li o o I o 18 el,I ,':l @ f,,- rl o, SURFA CE 06 @ --?, 12 o- gro 0 Li_i z O (qoo) NolrvurN3SNo3 44 P -9/15/78 at ol d. l I I DOTTOM x MID ' lit a '..I N z Q 15r = l\ Q- x I ,X1 II ,!t .li. -l 00 x ?r 18 .'...''.. .tI ill S.. I .'I o I I -t (o o (/) o N t| $ o 12 rl u o rl -\i1 9/16/78 o I O) I /.__ -S' TI I \ \\ \ e o = / \ \ I t .C, @of T .- / a - xI -c o(t, O o L. Station Data . o o o . .9 g o c) a NC a q)\ ul .il -t o \L., 0 (o 5o 0.2 o o O O > a) o (3 c c o e^0 a^ltoleu 03/ 13 ' uollDrlua3uo3 - c) a L- -^o CU N U't o sr 1\A (o o @ - - - a 06 J o o 1.0 I 0) ort C c.8 - x q) o o a I I I I- I'l lt o o 18 (J I- r{- (\ 12 1978 @ ta,,- >'' a t sf(l) '\ o () a t 6 ll a 24 () € g I € o g; 30 I I tl f Hours After High Water Slack I I -c , 6 2 Hour Cycles o S's. , I '-^ 36 , , Averaged Over Depth S o x,-Ci/Co(Vl/Vh)' dC/dt(Q/V)C 9 - = 7 o I f-\ 48 (7 / , ;-- I I S -. i( lt b 42 g 36 / r/ L- c) t/'' 18 fn .: \rif o . o l- o ()l -l o € . .9 ot- ( o % 04- - o - 06- N (o N $ (I) a) ci C () 0 @ a o o o 'uotlorlue3uo3a'{c a^llDleu o o3l 13 o @ ,: ; .2 08- - I0-" - 6 (l) 0 o el Q)r Lrl >l c o) ('| l. ,N9 12 a g (u -- ./ .e S Cf 6 \ .-:)] .--t-jtV o(t) \ t*- a t- .C I 6 2 Hour Cycles o Station Data .-' 0.2 - Averaged Over Depth \lf o) .C J- - S o o sr '+ ot c{ t./ ;\ O) 1.,.- +t = \II (J\ S . 1.L \ o\ o (u o ro 24 \t, t- I S o l./ € FI 30 a, Hydraulic Ci/Co(Vt/Vh)' tr o e 6 /.) I I -^l ,. E \ .g :x() "o . ll (J- rn - .,_. dC/dt:-(Q/V)C S *E i) EE z.a i, (-) ^ o (See 19) e.- l*. 6e | o Hours After High Water Slack (l A f 4b.X..I.U_b Model Averages e I :f