DAM-RESERVOIR INTERACTION ANALYSIS USING FINITE ELEMENT MODEL

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1 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch DA-REERVOIR ITERACTIO AAYI UIG FIITE EEET ODE. sb-khv, A.R.. Ghrbgh d K.Abd h. D. tudt, Dpt. of Cvl Egrg, hd Uvrst of Tcholog, Tbrz. Ir rofssor, Dpt. of Cvl Egrg, hd Uvrst of Tcholog, Tbrz. Ir El: psb@u.c.r, ghrbgh@sut.c.r, k_bd@sut.c.r ABTRACT : I ths ppr, d-rsrvor trcto s lzd usg ft lt pproch. Th rsrvor flud do s ssud to b coprssbl d vscd. I th drvto of boudr codtos, t s ssud tht th trfc of d d rsrvor s vrtcl. orovr, botto of rsrvor s ssud to b rgd d horzotl. Th govrg quto wth rltd boudr codtos s pltd th ft lt cod cosdrg horzotl d vrtcl rthquk copots. Th wghtd rsdul stdrd glrk thod wth 8-od lts s usd for dvlopg ft lt odl. Both sorfld boudr codto d prfct dpg boudr codto r dvlopd for tructg surfc of uboudd flud do d th rsults of two boudr codtos r coprd wth ltcl rsults. KEYWORD: Itrcto, ft lt, hdrodc prssur, rthquk, d. ITRODUCTIO Thr r lrg ubr of cocrt ds th world. o of th r sscll ctv rs. Th lss of ds s copl probl du to th d-rsrvor trcto. A portt fctor th dsg of ds ssc rgos s th ffct of hdrodc prssur rtd o th fc of d s rsult of rthquk groud otos. Th ssc rspos of grvt d s flucd b ts trcto wth rsrvor. Th hdrodc prssur ctg o d fcs durg rthquks hs b rcogzd s lodg th dsg of ds. Th frst lss of hdrodc forc o d fcs durg rthquks ws rportd b Wstrgrd 933. Th rsults wr chckd b splfd lss. I th followg rs, rsrchrs hv tsvl studd hdrodc lss of d usg vrous thods. For ccurt lss of hdrodc prssur o th d hvg rrgulr gotrs, th rsrvor s grll trtd s ssblg of ft lts. Th ft lt thod s bcog or populr rsrvor sulto, prtl du to ts flblt dlg wth boudrs. Th lt shp s ot rqurd to b squr so tht th lt sh c hdl vr copl gotr. Zkwcz t l. 965 studd th dc rspos of subrgd structurs coprssbl wtr usg ft lt thod. Chopr 97 usd th ft lt thod s urcl tchqu for d-rsrvor lss. H studd th rspos of th hdrodc forc o d poudg rsrvor udr horzotl ctto. I th ft lt lss of d-rsrvor trcto probls rs du to uboudd rsrvor do. Ths probl s solvd b tructg th ft rsrvor do t crt dstc fro drsrvor trfc. For ccurt lss, th bhvor of outgog prssur wvs t th tructo surfc ust b trul rprstd. Th ppld tructd boudr t rsrvor frfld dpds o gotrcl cofgurto. For ft rsrvor, th rflctd wvs fro th tructd frfld r ot glgbl d rsult sgfct crs ducd hdrodc prssur th rsrvor. For th cs of ft rsrvor, th locto of tructd boudr codto for th outgog prssur wvs urcl odl wth ltd lgth s vr portt hdrodc lss. Th propr boudr

2 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch codto t tructd boudr of rsrvor hs b th subjct of studs dc lss of structurs. Zkwcz t l. 977 d th forulto of ft codtos th soluto of prssur wv quto th rsrvor. Th cocludd tht sorfld boudr codto s pproprt for lrg rsrvor odl d c b sl corportd th ft lt dscrtzto of th rsrvor do. Hll d Chopr 98 studd th hdrodc ffcts of th poudd rsrvor o th ssc rspos of grvt ds usg o-dsol boudr codtos for th rdto of wvs tructd boudr. hr 985 proposd rdto boudr codto for th tructd boudr of th coprssbl rsrvor odl. Hs proposd boudr codto ws bsd o ltcl soluto for th prssur wv quto th rsrvor udr horzotl rthquk copot frquc do. H tdd th proposd tructd boudr codto for coprssbl odl. Th objctv of ths ppr s prst forulto for d-rsrvor sst lss usg ft lt odl cosdrg horzotl d vrtcl copots of rthquk.. I th drvto of boudr codtos, t s ssud tht th rsrvor flud do s coprssbl. Th trfc of d d rsrvor s cosdrd vrtcl d botto of rsrvor s ssud to b rgd d horzotl.. FORUATI OF UBOUDED REERVOIR DOAI For coprssbl d vscd flud, th hdrodc prssur rsultg fro th groud oto of rgd d stsfs th plc quto th followg for: 4. Followg boudr codtos r dfd b ssug ffcts of surfc wvs d vscost of th flud r glctd: ρ o 4. ρ o 4.3 o o I th bov qutos, d r th rthquk cclrto subjctd o d fc d rsrvor botto th horzotl d vrtcl drcto, rspctvl. Th rsrvor do hs b show fgur.,, 3 d 4 r d-rsrvor trfc, rsrvor botto, tructd boudr d rsrvor fr surfc, rspctvl.

3 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch Fgur :Rsrvor do d boudr codtos Altcl soluto of Eq. 4. du to gv boudr codtos s: v ρ H p λ ρ cosλ cot λ H s λ λ cot λ H λ H cos λ H 4.6 Whr λ π d,,3, FIITE EET FORUATIO Assug hdrodc prssur to b ukow, th prssur t pot sd lt c b wrtt b, [, ], 4.7 Whr s th vctor of prssur t th lt ods d [, ] s th tr of trpolto fuctos.

4 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch To solv wth ft lt thod, rsrvor do ws dvdd to E lt wth od. Usg stdrd glrk thod, w c wrt th Eq. 4. th followg for :,...,, 4.8 I whch s th trpolto fucto. Accordg to tod boudr codtos d usg of guss-gr thor th lst quto s wrtt s followg:,, C ρ 4.9 or C ρ 4. At lst th bov quto s wrtt s followg: ]... [ C ρ 4. For,...,, Eq. 4. s wrtt th blow for: ρ 4.

5 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch Th bov quto s cosdrd s followg: F K 4.3 whr ] [ ] [ B B K T 4.4 or K j j j, 4.5 d C F ρ 4.6 I th bov quto, C s cotd th boudrs of d-rsrvor d rsrvor-foudto trfc d s rsrvor do. Obtd Eq. 4.3 s plcd totl tr rgrdg to lt locto. Th w c wrt for whol do: [ ] F K 4.7 Eq. 4.7 s solvd to fd th rsrvor rspos wth so-clld boudr codtos. 4. CAE TUY W hv ssud std stt codto d coprssblt chrctrstc for wtr to dscrb th ft lt odl usd prst stud. Du to vlblt of ltcl soluto of prscrbd probl w usd spl boudr ssuptos to copr ffcc d ccurc of ft lt odl wth pplg spl boudrs. To solv th probl d vlut th producd ft lt odl, rsrvor of fdrud d Ir hs b cosdrd s cs stud. Its rsrvor hght s 6 tr. Dst of wtr ssud 3 / kg d d ctto cclrto cosdrd th u of jl rthquk cclrtor tht ws rtd o fdrud d 993. tdrd Glrk thod wth 8-od lts ws usd to odl th rsrvor. Fgur shows th shg of fdrud rsrvor do.

6 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch Fgur : shg of fdrud rsrvor do Iducd hdrodc prssur o d-rsrvor trfc ws chvd wth bfor tod boudr codtos. Dgrs 3 d 4 dpct rsults for dffrt lgth to hght rto of d. Altcl soluto shows grt wth ft lt rsults..e.e Hght 8.E 6.E 4.E Altcl rsults Ft lt rsults.e.e rssur /^ Fgur 3: Hdrodc prssur dstrbuto curv t d hght for H..E.E Hght 8.E 6.E 4.E Altcl rsults Ft lt rsults.e.e rssur /^ Fgur 4: Hdrodc prssur dstrbuto curv t d hght for H.

7 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch Dgrs show tht th dvto of prst odl fro ltcl soluto s glgbl / H rto whl for / H rto thr s rror. Ths bls us to us 8-od ft lt odl wh tructo boudr dstc s twc th hght of d. It s portt to dscrb ffct frfld boudr codto for ffctv ft lt odl. o-clld dstt boudr codto pls coplt dsspto of prssur wv wh th pss th tructd boudr. Th rror rsourc s bcus of pltto of prvousl ssupto whch ltcl soluto full dsspto occurs ft dstc. Cosdrg th tructd boudr or fr fro d wll z th rror t th ps of crsg th clculto ffort. I so rsrchs, sorfld boudr codto s usd std of fortod boudr codto wth Eq It s dscrbd for coprssbl flud s follow: 4.8 Afortod pl hs b lzd wth frfld boudr codto dscrbd wth Eq. 4.8 usg ft lt odl. Dgrs 5 d 6 dpct rsults for dffrt lgth to hght rto of d for ths cs. Rsults wr coprd wth ltcl soluto..e.e Hght 8.E 6.E 4.E Altcl rsults Ft lt rsults.e.e rssur /^ Fgur 5: Hdrodc prssur dstrbuto curv t d hght for H..E.E Hght 8.E 6.E 4.E Altcl rsults Ft lt rsults.e.e rssur /^ Fgur 6: Hdrodc prssur dstrbuto curv t d hght for H.

8 Th 4 th World Cofrc o Erthquk Egrg Octobr -7, 8, Bjg, Ch Fll, u hdrodc prssur rsults hv b show tbl 4. for both frfld boudr codtos dffrt rto of lgth to hght d coprso s d wth ltcl soluto. H 3 4 u prssur wth t frfld COCUTIO Tbl 4.: u of hdrodc prssur o d / u prssur wth t frfld u prssur wth ltcl soluto Error wth t frfld % Error wth t frfld Cosdrg rsults fro provdd ft lt odl rgrdlss supposd rdto codto, dcts ffcc d ccurc of 8-od ft lt thod. Coprg rsposs rltd to two stts of frfld boudr codto d ltcl soluto o c coclud tht o codto of vodg tr coputtol ffort, f frfld tructd boudr s slctd r th d, coplt dpg boudr codto t frfld wll possss bttr rsults coprso to sorfld boudr codto. I ths cs th sorfld boudr codto s ot th good choc to rprst bhvor of wv rdto t frfld d propr rdto should b srchd. If th tructd boudr s loctd rthr fr fro th d, obtd rsults for two cosdrd stts of frfld boudr codto r pprotl th s. Accordg to provdd rsults t c b coclud for coprssbl flud, f th dstc of tructd locto of rsrvor do s twc or or th hght of rsrvor, cosdrg sorfld boudr codto or coplt dpg codto s ot so flutl o hdrodc rspos. It c b grlzd to th othr rdto boudr codtos for coprssbl flud. REFERECE Wstrgrd, H Wtr prssur o ds durg rthquk. Trsctos, ACE 98, Zkwcz, O.C., Iro, B. d th, B turl frqucs of copl fr or subrgd structurs b th ft lt thod. posu of Vbrto cvl grg, Buttrworths, odo. Chopr, A. K. 97. Erthquk rspos of cocrt grvt ds. Jourl of grg chcs 96, Zkwcz, O. C., Kll, D. V. d Btts, Th sorfld rdto codto o ft dos d ts odlg urcl procdurs. Coputtol thod pplcto scc d grg, Zkwcz, O.C. d Bttss, Flud-structur Dc trcto d wv forcs. A troducto to urcl trtt. Itrtol jourl of urcl thod grg 3, -6. Hll, J. F. d Chopr, A. K. 98. Hdrodc ffcts th dc rspos of cocrt grvt ds. Erthquk grg d structurl dcs, hr,. K Ft lt lss of uboudd d coprssbl flud do. Itrtol jourl o urcl thods grg, hr,. K odlg of rdto dpg fluds b ft lts. Itrtol jourl o urcl thods grg 3,