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HomeMy WebLinkAboutAPA74-- -' '.•. • •• _d t· 0:.: •• • lo .<l• • ~ . o,. . :. DCNO lL/ Files from J. Hayden ACRES AMERICAN INCORPORATED Engineers, Architects. and Planners Suite 1000 Uberty auifding, 424 Main Street Buffalo, New York 14202-3592 Telephone 716-853 .. 7525 TP.Jex 91-6423 ,ACRES SUF R C(-1:Jtt;:D '\t.l.t..~ t' P ... · r~t. , . I e ·" --· -,, • ,., ~ i"'f··o ~i i '•i ~ ;.:;.) \.J susitna Jo~nt Venture ~------------~------~--------m-•-• ~ -=-w ._, ;a. I oam "--.--~,,~~-~--~~~,..~. ~-·· : >' ·~ I i . . '···: " t1 • )~ • . . . . . :... -. -. Copies of J. Hayden's Files ACRES AMERICAN INCORPORATED Eogin~rs, Architects. and Planners Suite 1000 Uberty Building, 424 Main Street Buffalo, New York 14202"3592 Telephone 716-853 .. 7525 Telex 91~6423 ACRES BUF '. ) ' ' leslfe Griffiths Peratrovich, ~lottingham and Drage 1506 West 36th Avenue Suite 101 Anchorage. AK 99503 Dear Leslie: March 22~ 1983 P5700~ ll.Sl T.l365 Sus1tna Hydroe1ectnc Project aeservoir T@mp~rature/Sed1~nt Studies I have. enclosed a very brief descr1nt•on of what I dfd in obtaining th~ velocity scales you used in the Susitna suspended sediment study. I realize 1t is of very little use to you now and I Iit)Clogize for not being able to send you more de~ai1s when you needed it. Hopefully, it w111 P?O- v1de a clue of the origin of the nuwbers whenever the arch~olog1sts take over. Sincerely, ~ 5<- Dav1 d Crawford lead Hydraulic Engineer DC:md Enclosure • ' 'i, \ 1 .... • J1ixing Velocity Scales in the Epilimnion and Hypolimnion This appendix provides a brief description of the derivation cf the velocity scales used to estimate turbulence in the epilimnion and hypolimnion. These velocities aid in maintaining fine sediment in suspension. Detailed theory and ·cteri vati on of the turbulent keneti c energy budget equations is not included here but can be found in References 1 and 2. The velocity scales are determined through use of DYRESM ( 1); a one-dimensional nun~rical model for the prediction of temperature in reservoirs or lakes. L Velocity Scale in the Epilimnion The general velocity and density distributions in the upper surface layer as modelled by DYRESM can be idealised as in Figure 1. A wind stress (u*2) applied to the surface generally produces a strong surface shear region near the surface, with a thickness increasing with increasing wind stress. Below this shear zone, the velocity is relatively constant throughout the mixed layer. The mixed layer is usual'~y defined as that water slab over which the water density is constant .. The momentJtm ·(as well as heat and mass) introduced at the surface are continually mixed or !tirred into the surface mixed layer. The r'ate of change of depth integrated turbulent kinetic energy (TKE) is given by the summation of the sources and sinks of TKE in the mixej layer. In CYRESM the integrated TKE budget, including integrated equations for heat and mass transfer, are parameterised into a finite difference form (equation 27, reference 1). Solution of this equation is achieved simultaneously with an equation for the velocity shear and billow thickness. ~ ,, ·: • ' The turbulent velocity scale in the epili1111ion is given by (Imberger and Patterson (1) ) : whE~re: q* = turbulent velocity scale w* = convective turbulent velocity scale, M/S u* = surface velocity shear, M/S ? = coeffic~ient measuring wind shear efficiency The value of q* can be obtained from DYRESM. This parameter is determined and printed for each of the time steps as shown in Attachment A. Variable ABQ represents q*. Variables UG, WS and USTAR represent average daily windspeed, six-hourly resultant windspeed and u* respectively. The mixing depth, h, is also given in Attachment A e.s well as the energy (UFO) released by cooling. Hore specifically, DYRESM computes the con\lecti ve and wind shear components of the velocity scale (q*) as follows: ··Convective Cof1!ponent_ w* = g p~t W* = convective turbulent velocity scale, M/S g = grav)tational acceleration = 9.8 M;s2 ff = density of the mixed layer, kg/M3 At = time step, s Pi= density of layer i, kg/M3 d. - h . 1 -elght of the top of the ith layer, M NS = top 1 ayer number '. ~·· j. •• ' ' "•(;) ' •_: J . ft •Wi'nd Shear C()mponent The wind shear component is a function of the resultant six-hourly windspeed during the time step, the scale average daily windspeed and , a coefficient wind shear efficiency in stirring. The wind shear velocity, t:1* is ~ ven by: where: u* = C *U6*WS u* = shear velc~ity C =a coefficient which is a function of the drag coefficient, densities of fl.ir and water and the height of wind speed measurement. = 1.612 X 10-S U6 = resultant wind speed measured at 6m, M/S WS = average daily wind speed, M/S ,. ~· - References: 1. Fischer, H. B. et al., "Mixing in Inland and Coastal Waters", Academic Press~ l979e 2. Imberger, J. and ,J~C. Patterson, "Jli Dynamic Reservoir Simulation Model -DYRESM:S", Proceedings of a Symposium on Predictive Ability, Marriott Inn, Berkeley, California~ August, 1980. i' "' ~~;~L t t· ... < t . •· ,__ •· . ',. . -........ "' +-·-: < ......... "~_..,,.,..,..._ _,,.,__ .,._-~t ..... " . 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F' C 8bsolute PC 000207SO I ' \ ) 27-SEP-1982 00:31!51.60 . . ...,. .......... ;.,~ ._ .. .-.. ih ~ .... - + ;. t + 247 Peak p e-.:. Qt_ ..... 14587 () 00!03!26.29 . . ~ L!Si? r· • ...; c r· t.~:. i rt s . rtua1 4 I "I ... .... . se1.- si~:e • f ·"' s i ~E.· "' .. 200 '+ + 268 (; , l,• l~&8ed Dut 3~ 27-SEP-1982 02:51!07.58 ~JC't·of.lrd.irr~ informt:tion ~ Buffered I/0 count! Direct I/0 count! 788 1·474/' P.a~i::' feults! El~Psed CFU t1me: 0 00:03!50.97 Peak workin~ set size! Peak virtual si~e: H I d .. .. I··o••r···.-:-:.., ·~~o · ·'rr·Ps, 1: "-' t \.1 '-r ..S.. '.....1 J i -_., 200 368 0 ElaPsed timt::~! 0 02!24:39.43 .c: •I• ~6-SEP-1982 20!24!11.78 Accountin~ information: ElaPsed Cnnn~ct HY!!f~ ItYRESN count • + 0 0 ··~ 0 f> .... 4 ~ 0 .-.. ..., ,...,. 'I) J t v .. 7 ' : 7 --~-------------------------- .,.. .... . ' 17'82 ..... . t • • ·, •· 1::, n It ... f ... ~ E l ~~?s~·t:i CDr; rn:-r:1. ....:· !::"' r.;: "; ~t"' ~ .. / r;~ f ..... ~· ' ..-;.• • !(! \ v ...,. ,_ .• ..... 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H :i. ;t (~ f N () 1,1,., ~~~Hi 'I u J. l.i ltl {H) : ----------------------------- JUI'IR7. 1982 . $ EDT ·TESTIIYR • DAT; 14 1 4. *S '3'4' 4 1 ~P.I.•.tHt.i.t,ution * 5 * TT SUSIT~A • "' j!k' > 'I ' ~ , ... ':~,.,,.,-~-' -~~--.,:~~~_;:,.,:_._.,~;,;;.. _ _,....;_~: ~:t_-·_,.,..!.<-~. '_ •.• ~:~ • .::.·....,~ .... _,,._. ... 82 210 0 { '. c -DRR3 tf.ftCRA~JFORJ.t 6 RESTF..~M. f-' J TESTDYR. J.t~ ·r ~ :t 6 19 1 · •·;, ... :tnes $ SH PROC/ACC 28-SEP-1982 oo:os:4:tc05 Buff t." , .. ._, d 1/0 <~ o u n t. : Di r~ct. 1/0 t~opnt. t Pa\h~ fna.tl t,~l ! ElaP~ed CPU time : C (.).1.1 tH~ c; t t l tf!f~ t $ @TEST HYDR TIYRESM - 4BO 76 2028 TTJI'"J • .... t ... ~ ( o oo:oot09c:t5 o oo:~~.:~~.cl7.BB ~~~~-~---~-----~----~--~-~~-- JutH~' 1. 982 /.FOR-E -OUTCONERR r utt·t.t~ut. <~OrtV(H"H ion H l"l'U r 1 )) G ~~ f.t W F 0 R JJ f' t~ ak ~~u 1~ kin~.~ H t~ ·~. Hi;~ t~ : f• f~ n ~'!. v i 1' t.1.1 a l ~d. ;~ <~ : N 01..11'1 ~., f~ d "0 J.t.llll ~~ H : , unit 3 file -»RB3~[DCRAWFORD)RESTEMPJTESTDYR.OUT;1J us~r PC OOOOBD97 7.TRACE-E-TRA(;EJ:iAGKr ~;~:rubulie ~d.aek du111P foll(Hih modu). e nan1e J . .i.IH:~ TESTMAI N$f1frlN 222 $ l "L.' .1. ;~1·. J·. 'JL' F.'l'"". ·~!)c· c> J • r1· '" PC '< ># '1:0 (#lo ,) oo • , ... 0002:tA77 000~~;. 9B4 ooo:~o790 {} 0 0 0 :t :t ,, 7 ooo:-1 :t A 77 0 f) () ~~ :t. 9 r.: 4 00()~t.0790 OOOOBit97 1..54 441 0 """""./" ''"' --·-·~-. ··~··'· ·~,., ~,.-.~~ ''"' ··~···--"'-'"'''~ ---.... -~ ... •""·-·~··---~-'*""' ,.~ ____ _._,.,...., .. ,, :o·· ,, __ : 0 SH PROC/ACC 29-SEP-1982 00t15t06c64 At~c~ourd~ in~ info r·&nu t, 1 on: BuffeT·ed l /0 (~uunt. ! D i r·ec~t. I /0 tHHJnt. : P::UH~ fUll J. t·; f E l cH~ H ~ d r; r· tJ t. i Iff(-~ : ConiHH~t~ t. J.rhe : TY ... TESTI•YR • OUT 572 473 1r)425 0 0 0 : 0 ~~ : 4 7 ~ 9 3 Q () 0 : ~~ 0 ! 1 ~~ • 4 7 f'f:HJk WOl'l~.in~.f ~H~t. Hi:tt~ f Pf:\(-}1~ V:i.l~·t.J.IUl H):~(~ t r1 () ... rd~ (~ d ,, () J. ~-= '" *) ':) : . . :)"' (>. 200 441 0 y ~· • f -, __ -¥--~ ~--·---""'--------···--·--·--,--. ·--,-· ~ -:i .,,. <~~ ,.-= ~,.·· I 2\. ;,...~' I ( --·--·--------- LETTER OF TRANSMITTAL _g_~ - R&M CONSULTANTS, INC. DATE .NDIIN··--· G•a&.CDIIII'1'8 ""'-ANNB._8 8UFIV.VC!IUI FM ~ !99.3 ANCHORAGE OFFICE 0 P.O. BOX 6087, ANCHORAGE, ALASKA 99502 TEL. (90?') 279-Q483 PROJECT NO. AS'"33t3 FAIRBANKS OFFICE 0 P.O. BOX 2630, FAIRBANKS, ALASKA 99701 TEL. (907) 452·1655 RE: JUNEAU OFFICE G-i..t.fG!&L 4&«£ STt<DtES: 0 ?. 0. BOX 1786, JUNEAU, ALASKA 99801 TEL. (907) 789-0880 -Dy~ES..CZ t.AJPul WASILLA OFFICE 0 P.O. BOX 1240, WASILLA, ALASKA 99607 TEL. (907) 376·5288 TO WE ARE SENDING VQU: tJ..cRF:5. /i-t:2.£.R lCA-tJt.. -~ached 0 Under separate cover via M..tl.£ tJt. @ ("'OU./£l - !Ju. ~E./1 L CJ the following items: A/Er_..~ ~K 0 Shop drawings 0 Prints 0 Plans 0 Samples 0 Specifications 0 Copy of letter ATTENTION {lA-tL.t /J C:.R ALJ ,Ct2./.$.Q 0 Char.ge order 0 Other - COPIES OATE NO. DESCRIPTION ~ I NIJV. R:2. LJArA-IliA tJ £AI ff ££. - ~ ,_ ~~; T'HESE ARE 'TRANSMITTED as checked beloW: 0 For approval 0 Apptoved SiS submitted 0 Resubmit copie~ f?r ;1r;proval G'For your use d Approved as noted 13-1\s requested • 0 Returned for corrections ' 0 Submit -co,pies tor distribl.ltion 0 Return _.,_..____., correcten ?rints 0 For raview and comment 0 -----~.-·----------------- 0 FOR BIDS DUE---------0 PRINTS RETURNED AFTER LOAN TO US REMARKS .. EAIC t-o 3E o .. 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I \01.;- l 2.t>So b~l.h~ s ,"1~\,~\Lt b \ S~~ \ 'Z.90,LfS.1 ,, ,0 ~ \ e,~o 1 \\ 4 C\ lc \ ~0~ \' ~ i 2.\oo bl.\0\ \ ~, \c4-Sa(~\S I ~~ \~'o 1 ~iS,~S't · \ ,~:;~1 4tS., 8s1 \ \ 1.4--, Jf!\S t \ i9 '2\'i 0 b~S~~ ~,,~n, s1;,1 \ o, \Oe1 ~~,ooo I I~~, 4e1 ,!:,~j : \?St 'b\"a, \!:)1 2"LOC ~lCI\~ I ~ I 0 \.., I"' b.b \"t \ 'bSio, bOO\ WI \ ,i'"1o 1 S'l~ ,~1 I \bO,I\1 1'"hoS 21~0 ~s\~ \"t,"-.\ \ ,i 'l.b \~.\ Ct:>"Z.1 '\~l,t'l-0 '2. , o'=t 2 ~ ~ 1 ,12. ~ I \'\14-, ~'6Lt,4~"' \ 60.04.03 Form 1488 ,.. ·--~ .. 2 0 r <( "> (.U .:.J (~ UJ ' . Z300 2..7..00 Calculations SUBJECT 2100 -~ ...... lqOO lbf::,O By '})C. Checked __ Date ~ C)J t.,? ' .;.~ CoMiOU~. Pl~'eA.S. ~R~.-•• \ "'c"' ib 4<:10 ~l'!i AN~ So P-oi (oH"tol.lrt ::N"""-\1~1. MC..Pi. f.LE\1 (~'1) l'+bo lSOo ISSo lboe lbSO \100 1150 12:oo 1850 l<Joo \9'50 Zcc:o 2.o'So ~\00 2\SO 4'2oo 2250 . Calc~lation No. ---- Page_of __ Rev By Checked 5u~tF/'.'-E ~~A (IV:.) c \4-S lo99 2.6'2.3. 3991 Sb'Z.o l~ce, \0018 rz:tb'l 1'+4-q I \b&ll 1~8St z:;s12 '(.~ 1"?. f 3~4-56 ~9-rz.q ~~t?';'1 4o 60.04.03 Form 1488 • t) ! ! l I ! . l I l . L ·~ r·~· I l ' •• . ' r • I Calculations 1;1u SUBJECT SPt\...1.. ' ~ Zt-17.-A.:~ Le.Je:1.~ . LE:vet- 'p-'i #A c:;, p, 1.-L (..\~C bbi·S .::. w -rr-.t e \ '2. \ bO bS?6·4 2. ?.\lkO Co$'-I'"!;:. •t ~\2-o ~~~2s. ... t.: '2.060 (:,'3(.(-.· 0 ' 2-cA-0 bf_lr8 w b 2ooo cocq t e.:, '1 \Cibo 5Ait4- ,... \000 Sl+-8, b b ' i I. ., . -. By Date :_ Project No. Checked Date Calculation No. Page_of _ Rev By Checked 1--'· W\'d\Y, I . \~. ·~ . -FT • W\. . ~~ I M· I I~ 12S1 ~o ~o·o 4\L.S I~ 1T:> s-o Ill~ l ~ !:>1'So \(43 I Z.64-l 000 6o 19Jo IY~ ~bS"o I\ I~ / •?} :,~1S \ oZ.Cj I \1J 3'-CO cr\S ( ?:>B,ooo l'2..., 'S"OO ~ sooo 9\l.f ~ l~co S'\~ 1 "2. \\ ,2..oo 5J-tt.So 3>'8\ bll-r 4-cO ' 60.04.03 Form 148B """''""''"'-· ...,..~ _.,..._..,.,,.. ~ ~·~"""".._,~ ., .. ,~,v..,~.-.~_...,,"'4'""'""'~ , ... ~, ..... -.......,-~"-·~,,~ .-••·· '-'·><-~ ,._ --·· ~...,,,_,.~,. • '.,. ..,. -··d····· ··.~:···. (: : . . . ;, ': ~ . '·--.. . . . . -r' - (- (" - • •• R&M CONSULTANTS. INC. 5024 COROOVA • BOX 6087 • ANCHORAGE. ALASKA 99502 • PH. 907•2?9·0483 • TLX. 090·25280 ENDINEiiiiiE OECIL.DOIBTE PI..ANNERS SUIIIVEVCRS April 27, 1981 4 Project Manager Susitna Hydroelectric Project Acres American Incorporated Liberty Bank Building Main@ Court Buffalo, New York 14202 Attention: Mr. G. Krishnan Re: Devil Canyon Reservoir Volume Curve Dear Mr. Krishnan: R&M No. 052208 This letter and the accompanying diagrams present the dat · R&M Consultants and Air Photo Tech has assembled to assist in estimating reservoir volumes at the Devil Canyon Damsite. Air Photo Tech compiled voJume estimations at 50-foot contour intervals. These volumes 1 listed below, were computed by the average-end-area method. Contour areas were fo.und by digitizing the 50-foot contour intervals on the 1 inch 'aqua Is 400 f~&t topographic maps of Devil Canyon. Air Photo Tech digitized data: Elevation Volume (Feet) !Acre Feet) 900 6 950 2,063 1,000 7,.507 1,050 25;020 1,100 49,490· 1,150 84,526 1,200 132,236 1,250 195,207 1,300 291,949 1,350 455,862 1,400 707,345 1,450 1,048,168 1,500 1,484,104 FAUUIANKS JUNEAU '";."; ,;; ·_j··-.·.·····.· . . . ' . ( '·,_ • ....... April 27, 1981 · 8 Mr. G. Krishnan Page 2 R&M has found two equations that can be used to interpolate projected reservoir volumes. The equations are listed on the accompanying diagrams. The fourth degree equation can be used for estimating along the entire volume curve with a standard error of ± 6,665 acre feet .. The second degree equation can be used for estimating volumes more closely with the 1,300 to ·1 ,500-foot elevation range. The standard deviation of this equation is ± 1,216 acre feet. Please bear in mind that this equation can f!2! be used for estimations below 1,300 feet. If you have any questions or requ~r~ further information, please do not hesitate to contact me. Very truly yours, R&M CONSULTANTS, INC. Mark R. M o HoJmstrand Survey Office Coordinator MRMH/kau Enclosures .. 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'---------------------------------------------------------------------------------------------------------------------------,~--------------~~~ OWN. OEP I CKD. MH DATE. 4-27-81 SCALE. AS SHOWN - f} ' CEVIL CANYON RESERVOIR VOLUME CURVE F. B. N.A. GRID. N.A. PROJ.NO. 052208 DWG.NQ 2. of 2 q• ~- J • 1400 .. . ' 1300 ~1200 1&J I.&.. - ~~· ·~·. 1100.--:.r.FY !Ct ~ .... > . w . ...J St:_. LLI j.:fp~ f-, • 1000 'JP 900 ·P· . ' '.' -- !- t ' •• I . .: 1-__,_._ ·-- . . +::::4 : l;:. tEGEND .. . .. · •.. i~. :.oJGITIZED ·vALUES ~ : 1 ·-~ tb,.Q~§R~.E :EQ~ATIO~ · ·~ n""d ·oEGREE··EQUATION l 0 · .. 0,1 Q2 0.3 0.4 0.5. 0.6 0:7 0.8 0.9 i.O 1.1 1.2 1.3 1.4 1.5 VOLUME (ACRE FOOT X 10 6 } OWN. ,. CI<O. DATE. 4th DEGREE EQUATION: X= 24453570-94517.2 (Y) + 137.081 (Y)2 -. 0886502 { y )3+ .00002164448 ( y )4 OEP MH WHERE : X= VOLUME IN ACRE FEET Y = ELEVATION {FEET) RANGE= {900 S ELEVATiON S 1500} STD.DEV. = ± 6665 (ACRE FEET) R&M CONSULTANTS, INC. 4-27-81 ENDINEEIIIIB DCOI.UOIUTB "'i.ANN .. AB tlUAVEYDAa. l SCALE. AS SHOWN • __ ,, 0 2nd DEGREE EQUATION: X =27842105 -44711:664(Y) +18.0967486 (Y)2l WHERE: X~ VOLUME (ACRE FEET) Y = ELEVATION (FEET) RANGE = {1300 S ELEVATIONS 1500} STD.DEV. = ±1216 (ACRE FEET) CEVIL CANVCN RESERVOIR VC>LUME CURVE f'i ---..LJ F.B. N.A. GRID. N.A. PROJ.NQ 052208 \ DWG.NQ lof2 _j " ,;l w . ' .. *********************************************************** *********************************************************** .•..... · *********************************************************** * *** *** ( ... ( *** *** *** *** EQUATIONS VERSUS TRUE DATA COMPARISON -.. *** *** *** *** '*********************************************************** ****************~****************************************** *********************************************************** 'TRUE DATA' DIGITIZED FROM 1 inch = 400 f~~t TOPOGRAPHY POLYNOMIAL EQUATION TO 4TH DEGREE CPOL4) Y=24453570-94517.2•X+137.081•XA2-.0886502*XA3+.00002164448•XA4 WHERE, X=ELEVATION AND, Y=VOLUME POLYNOMIAL EQUATION TO 2ND DEGREE CPOL2) Y=27S42105-44717a664*X+18.0967486*XA2 c WHERE, X=ELEVATION FOR <1380<X<1500} AN'D, V=VOLUME F:LEV TRUE VOLUt·1E POL4 VOL Ut·1E P'""JL2 VOLUt·1E IBJ:I_f. -POL4 TRUE 900 6 -1352 N/A 1358 950 2063 932 N/A 113~ 1000 7507 11650 N/A -4143 !050 25020 27625 N/A -2605 1100 49490 48927 H,....A 563 1150 ~4526 78870 N/A 5656 12fH3 132236 124018 N/A 8218 1250 195207 ·194179 N/A 1028 1~30 291949 392410 292647 -10461 1350 455862 465612 4545::!3 -9150 1400 707345 701536 707063 5869 1450 1048168 1034776 1049906 1.~392 1500 1484104 1490775 1483293 -·6671 MEAN = 317 STANDARD DEVIATION = 6665 COMPti1rf:R -POL2 ·- '\:"' N/A N/A N/A N/A N/A N/A N/A ·-N/A -698 1279 342 -1738 811 -e - 1216 ( { 1300000 600000 -~~ •• TRUE POL2 +- C0t'"1PAR I SOt'-i PLOT POL4 e-· ·--· ·-· ·--· -El ----- -.-4 --- ~;-·----,~··-"':".~·----.. ----~:r---··-·--· .. ·-.-----~~·-·--·-····-···-.-·r-~----..··-;-·:···-······----·-···-··"··-·---............ ~-.... -... , ..... _,,, __ ,,, ..... ,. . . .... ,, .... .. ·~~ .... ~~~~::·~··\ :k; " ' 0. R&M CONSULTANTS, INC. 5024 CORDOV-'1 • BOX 6087 • ANCHORAGE, ALASKA 99502 • PH 5'07·279·0483 • TLX. 090•25280 ENGINEERS GI!CLCGISTS PLANNERS S&,IRVEYORS May 7, 1981 Project Manager Susitna Hydroelectric Project Acres American Incorporated Liberty Bank Building Main@ Court Buffalo, New York 14202 Attention: Mr. G. Krishnan Re: Watana Reservoir Volllme Curve Dear Mr. Krishnan: R&M No. 052208 This letter and the accompanying diagrams present the data R&M Consultants and North Pacific Aerial Surveys (N.P.A.S.) has assembled to .assist in estimating reservoir volumes at the Watana damsite. This data is formated similar to the data we sent you on April 27 concerning the Devil Canyon damsite. N. P. A .S. digitized contour areas on the 1 inch equals 400 feet topographic maps at 50-foot intervals between 1,500 feet and 2,250 feet. R&M computed volumes by the average-end-area method. The following list summarizes this data: Eleva-t:ion (Feet) Surface At .. ea (_ft) (Square Feet) .. 1,460 c 0 _ 1,500 Ill-~. 6,452,317 1,550 ~---··-· _lc<j~ ! .. 47,872,404. 1 ,600 2.b'l.?. :. -J.1~,2.79..~_016_ . 1 I 650 '?f\'1 I 173 I 843 ,272 1,70D Sb~ ;· 244,787,914 1, 750 ·-.. ltQSB I 342,301 I 751 .. 1_r._~Q.Q ___ ,_,~o~ .. _.__4_3_8, 994,252 1,850 __ ~~-rz .. :?-_bl _... 534,350,121 1 {99.Q ___ ~ __ !U:1.4SJ -!-.~3]1~?45,753_ 1~.950, ........ -jb~]1 ..... 735,147,493 . 2_,_ooo ___________ j_q_~~-' . 864,111 ,8~8 2, 050 '2..'~ ~1Z. '1, 039,850,114 2,100 7,.~"}7.<1~ :1,232,415,851 2,150 ~~~~~ 1,456,487,399 2,200 b91.Z,<=)_ 1, 730,59?,507 2~ 250 --~e,,?}}. ~2, 092,337! 128. 1\NCHORAGE FAIRBANKS Volume · (Acre Feetl 2,962 34,140 127,202 292,562 532,823 869,766 1 ,3-;8,168 1,876,791 . 2,545,731 3,329,953 4,2.48,146 5,341,214 6,645,315 8,188,533 10,017,666 12,211,726 JUNEAU C- () .. (- ~ c _,. z"-"' ( ' ... ~ May 7, 1981 Mr. G. Krishnan Page 2 As with the Devil Canyon volume curves, R&M has found twL equations that can be used to estimate reservoir volumes~ The equations are Hsted on the accompanying diagrams. The fourth degree equation can be used for estimating along the entire volume curve with a standard error of± 24,013 acre feet. The second degree equation is less cumbersorr;e, but it is no more precise .. It offers a standard deviation of ± 19,985 acre feet between the 2, 050 and 2,250-foot contours . . If you have any questions concerning this data, please let me know. Very truly yours, R&M CONSULTANTS, INC. Mark· R. M. Holmstrand Survey Coordinator MRMH/kck Enclosure .. 0 i q ., ., I .. [ I I, I i ' ;.\ I . l ~ t f I I l \ t ·,.:.• (i I l I 'I 2.2 L 21 20 - 0 X ._ 19 0 0 LL.. - 7 ( ~ ~ 18 IJJ ...J LlJ ··: ~ 16 14.5 0 Od 0.2 0.'3 0.4 0.5 0.6 0.7 (ACRE OWN. CKO. DATE. VOLUME 4th DEGREE EQUATION: X= 210615000-475742 (Y) + 409.049 (Y)2 -.160513 (Y)3 + .000024562 ( Y)4 WHERE: X= VOLUME IN ACRe-FEET OEP MH Y = ELEVATiON IN FEET RANGE= {1500 ~ Y .S: 2250} STD.DEV.= :t 24013 ACRE FEET R&M CONSULTANTS, INC. 5-7-81 IINDINIIaA5 OGQ&.QQIIITiil P&. ... NNaR& &URVaYQR& SCAL.E. AS SHOWN '' ·-;,,-·-·· _,... : >' ----.... "' 0 ... I o.e 0.9 FOOT X 10 7 ) 1.0 !.I 1.2 2 nd DEGREE EQUATION : 1.'3 1.4 X=20743~800-219573.74(Y) +59.02338 (Y)2 WHERE: X= VOLUME IN ACRE FEET Y =ELEVATION IN FEET RANGE = {2.050 .S Y s 2250) STD.DEV. ='±19985 ACRE FEET \NAT ANA RESERVOIR VOLUME CURVE F.B, N.A. " GRID. N.A. PROJ.NO. 052208 OWG,NCL I of2 .. r-" _-.. __ ~ ·----·-~~~---------~~::.,_= -------·-~-·~ ( 2.2. rl-:-~~~~---,..lu~j·-.-,-,-r-~i,~'"'T"li'-.:....:.1.""!',T'-:•-ll"T"i-l-r-~"""::t±-~-r..ml~i":"l:-r-.illJ~""":.~~~~,_~':"",'T,-.I""t!._L I lit' tl Iii '' tl.' l I •W ffi:'~!.;.:.. . .Jif-1"1 l I ..1 i I I I 1 t • I I J Ul.~f-!11, ~ I • ,lll! !f4 !..!..;.(Hil---+-0-+-'-+-+-+-+-+ 1++++!..-l ++1-+1 +H+11'H-IH+'+I' -!H-+-+J·H·-<j_-+j_-HIJ I .!.ll! lli.. :f.~t~l-+-+-1 ! (! =R=t+l Ill! lt .. !..l ••iltLT I ! I ~fth.J+ rfm!iT I I 1 I J, •l _Llj_l I llUt.iJ' I j l~-t--ili-+-lt ! i l I I I I L~ . .Jli lli.l I I j_ . ll rLlilli !.!.!J I l I I l i ! j I ..l.!l..!. ' !ill . · I I ....... N 0 X 1- 0 0 u.. - I I I Ill ill I IT'TTT•it: I i IT Tl •f'TTI Iii I ! I ! It IIi Ill IIlli ,TiTi·. I I ! I I J L...LJ.... I I II iJ.lt II~' I i I l..!..ll. u.u ill.' J l+U _l I . I I I I l: I ,, 1 I I II Ill i .!..!lJ ~ -l--1r--tl--t--!-~--1 J I I I I I j I I II . I I Ill: I I I liT!I ~ -WlllW I I I I II I ll I I I If II t: It ' • ··~· ·1--i--!-+-tl-1 J I I I I I I I I II ! I j I i !l I llilli ; Ill I j ll ·~~: I I '1.' Ill 1111-HH-t·I-H'JH+i u J!Jli I 1~: !~ .. ··1-i--t-t--tl-1 -Ll4-+. l T 1 , 1 1 tl 1 " 11 " T ' r It• 1 1 1 11 iith ~ 1 1 , 1 .111 1111 1 , n , ,1!..! n 1• ;!L . ..-!-+-+--+1-; 21 I I I I I i l • ,, 1~1 ''!· lj.. . I I Ill. II •Iii q;; •••• • l I tl ,r.,+t,,~llt+,t-H+t-·t-H,I-t+l+i!-!7'1H..,d; iiTi .· I I c '' •11 II 'Iii!!!! Itt llilli!fil!•ll~1 I ! : lilt :11 1!11 IJJitlji 11 fllrlfyc.' •!'ll!..-1:---l-t-+-+-+'-l ! l i I l 1 i I I I ill!~! i I Ill I! dll ilff !ll' I I I I i l 1 II llllt i JJ.i/1 ll";tJi .!.1!.~ ·!l._~lf--+-+--1--i l ! l ll lit ll lli1WJJ I I I!I.I[!Ut~ll:..:.J;:f-11-+-+--1-l-IH-I++++l-'lr+++t+lld l tlll!-f-H-t+r.-+1!1·~fllliii'TTil'l!. i I It II Ill I I III1Litf 1 .l I lillnTI!:tll"l; j I II f '! l IIlli I Y•ln t.WIIIr;~"~.f---i-111-+--t-1 , ' , 1 1 1 : , . ' • • :t IT" , 1· . ' 1 1 , , 1 ' ; 11 d rr 1 1 111 1 , 1 , r " ! , 1 1 1 , "'' H-1-H·t-, ).';~,+,, 1 rr 1" • "I; . , • , , 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 l 4 5 6 ? a 9 10 15 VOLUME ( ACR5 FOOT X 10 6 ) 4th DEGREE EQUATION: 2 nd DEGREE EQUATI®N . ,, X=20743~800-2J9573.74(V) +59.02338 (V)":;. X= 210615000-475742 tY) + 409.04'9 {y}2 -.160513 (Y)3 + .000024562 ( YJ 4 WHERE: X= VOLUME IN ACRE FEf:;T WHERE: X= VOLUME IN ACRE FEET Y =ELEVATION IN FEET Y =ELEVATION IN FEET RANGE= {1500 ~ YS. 2250) RANGE = {2050 ~ Y s 2250) t-. _______ s_T_D_.D_E_V_~_±_2_4_0_l_3_A_C_R_E_·_F_E_ET_·•~------~------S_T_D_.D_E_V_._=_~_I9_9_8_5 __ A_C_R_E_F_E_E_T. __ __ OWN. OE p CKO. MH DATE. 5-7-81 R&M CONSULTANTS, INC. fii\IQINIIIlRIS QllCLDOIBTiil PI.AN!IIB"ltli liiU"lVEVORB SCALE. AS SHOWN '\NAT ANA RESERVOIR VOLUME CURVE . F. B. N.A. GRID. N.A. PROJ.NO. 052208 OWG,NO. 2 r>f 2. .0 I ---i/1 -_j f: ·:::::J . ., . ' ~~· *********************************************************** *********~~************************************************ ~.~ .. ~. ·, . ~ *********************************************************** *** ..:.:.·· .. ,,. '!':''!':' *** *** *** *** EQUATIONS VERSUS TRUE DATA COMPARISON *** *** *** ***~**********************f•******************************** *********************************************************** *********************************************************** 'TRUE DATA' biGITIZED FROM 1 inch = 400 feet TOPOGRAPHY POLYNOMIAL EQUATION TO 4TH DEGREE (POL4) Y~210615000-475742*X+409.049*XA2-.160513*XA3+.0000245642*XA4 WHERE~ X=ELEVATION ANII' "'''·=VOLUNE f!IL'r'NOHIRL EG!IJATIOH TO 2ND !IEGF~EE <POL2) Y=207433800-219573.74*X+59.82338*XA2 WHERE, X=ELEVRTIOH FOR {2050<X<225B) ~\ ANI1, V=VOLllt·1E I ( ELEV TRUE VOLUME POL4 VOLUME POL2 VOLUME TRUE -POL4 TRUE -POL2 15~30 2962 -12863 t~/A 15825 N/A 155tf 34140 9491 H· .. A '=''4f"4C! 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LEGEND~ I w -JUNE I, l981 ---JULY I, 1981 . ---AUGUST I, 1981 I ---... .-SEPTEMBER 1,1981 I 4 5 6 . 7 8 9 10 II WATER TEMPERATURE (°C) ' . \ j' 5>..._ ~,~ •, .ao.·e··-"oO!ioi·e-...,.··~~------------- -11: .,.1 "--·· .. ~ • ( t2oo.----r--~r----~--~~J-~----~--~----+----+----~--~ . 1150 • ... i LEGEND:' ---OCTOBER I, 1981 r---t----lf----t--Wf..-1---1---l-----NOVEMBER I, 1981 ---DECEMBER1,1981 -. . • -···-DECEMBER 31, 1981 I uoo o~--:--~2:--~3L--L...L...L~_JL_....L __ L_J __ L_..J.._......J 4 5 6 7 8 9 10 11 WATER TEMPERATURE (°C) .. , .. \t :,.. 1\ ·- " ' tt 1 1 ~H 11TI 1 · 111 :If 1~rmn 'J t If ' 1 . 1 t lt 1 t tltJ Hrtfill:t Tr'n lH tJfirrrrrrmrrmirrrrnT!It1 11;J fli: fPTTfJTl/r-t", I ~lti ill • J lliL f •H ,. ,,, lifit~l·ltH;•t 1 ·n·~L~fllilt•! ·n ·1 · t· ... ·t ·~OQ ·· r· .. · ·· rl 1t +1·~4rt ··t f~ ·1 · '""ftrrljrtfr,rrh·;! h11r nf:tr!~nrrJTh1f nnt1rr:;qtn: t t ' 't I I r t I I I I • t t t t If r t tl j " I H • t h I It " r-1 t f tt ' I f • ' t ' It • • ! tl t I f I . t • r ' i' t tt1titiftt 1tf+ 4f1t:t••t J•t •t" •fttt.Jtf• ~~ -· . ,! . 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" . ~-~,.._,._, .. !-..,;.~ ,.._ -~ ~"'· -·~ ..,_ .. ·~· --------'----..... ----:-.-.--:-~ -~·-~~:~;_~~'"~·-~7 ___ j __ ~~:~---7--:----~ .. ~.·~-·r:··--· .: '. • , . i 1 ••* '! -.t. ... ,. • .. • > w a: ;:, 1- 4: a: w a.. ~ w J-- l4 ~----~,------,,-----·~,------.------~------~------~------~------~-------.-------r-------r------1 12 10 8 6 4 2 0 ~------4--------+--------r-------+-·------+---.. ----~------~--------+--· -+------j.-----1---\-------~ 1-------t------+-------f-----·----4-----· -r---,·~---.-.. -------1----··---+·---·-··-1-----+---·--·-1-.. ----· --\-1,------- II 10 20 30 JUNE NOTEs: I) TIME SCALE IS 1N INCREMENTS OF 10 DAYS. 2) OBSERVED DATA FOR SUSITNA RIVER ABOVE FOURTH OF JULY CREEK (RM 131.3) ADF8G 1982. 3) PREDJCTED WATER TEMPERATURES (RM 130.5) DURING WATANA OPERATION USING 1981 DATA. 4} TEMPERATURES REPORTED ARE MEAN DAILY V/~LUES. 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H F' ( J ) d=) F' J I l ·,_-f L E V 400 FORMAT<1X,t6,4Fl0,1> S S T :.~ l•] SF I 300 CONTINUE STOF' END S U R R £1ll T :r N r l·1 f.~ T SF R ( >: I H r >: r y , 'f 0 ll T ) DtMENS!ON X<l>,YC1) KK=-:1 3~ IF<XIN-X<~K+:t ))~0~~~,40 3 6 'f 0 I J T .:: Y ( KK + 1 ) RETURN 40 i\i\:.:(\Ktl G 0 T fl ~~ ~ .· . ' 50 Y nt IT= Y ( K I< ) + < ( Y ( K I\+ 1 ) -Y ( 1< 1\ ) ) 1 ( 1: < 1\1\ t :t ) ->: ( K 1\ ) ) ) ,;: ( X I H->: ( K K ) ) RF:TIJRN END nr.RFl l·JF (1 F:n OFl Ol~ ?0-.JAN-:t9R::t :tO!::-i0 TTJ)i'~ ?0-·,UH..!-:1. 9R~i :1. () t f-j :t. DISKSTFCHNlCALt[DCR: D G i? AM F 0 R)) r) Fl.l) !·J :~ o ·-JAN -1. 9 fi ~ .1.0~51) TTD7~ ~0-~JAN-:1. 983' :t. {) t !) :t. J)ISK$Tf.GHNIGAL![IIGR n r. .R f'tl·! F 0 R fl OFlfiW ?0-,I(Jl~-:: S'83 :l. 0: 5 (i TTT.I7! 20-.U:N-:t 983 :t0~5J. T.IISKSTFCHNICAL i [J)CF:, nnnn GCGr~ RRRR fi(.'):~ !).1 ~' FFFFF 000 RRRR [1])1)[1 D Jr r. H R {-1 A t·J (·J F n 0 R R n n [I 0 c R R A A ~) M F 0 0 R F: D D D n r. 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