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MCMICM数学建模历年优秀论文洪水大坝模型.pdf

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FromLakeMurraytoaDamSlurry217 FromLakeMurraytoaDamSlurry ClayHambrick KatieLewis LoriThomas HarveyMuddCollege Claremont,CA Advisor:JonJacobsen Summary WepredicttheextentoffloodingintheSaludariverifalargeearthquake causestheLakeMurraydamtobreak.Inparticular,wepredicthowhighthe waterwouldbewhenitreachedColumbiaandhowfarthefloodingwould spreaduptributariesoftheSaludalikeRawlsCreek.Webaseourmodelon theSaint-Venantequationsforopen-channelwaterflow.Weuseadiscrete versionofthemtopredictthewaterlevelalongthelengthoftheriver.Our modeltakesintoaccountthewidthofthefloodplain,theslopeoftheriver,the sizeofthebreakinthedam,andotherfactors.Weestimateparametersfor LakeMurray,itsdam,andtheSaludaRiverandcalculatethefloodresults. TheSouthCarolinaStateCapitolissafeundereventhemostextremecir- cumstances,sinceitsitsonahillwellabovethehighestpossiblewaterlevel. However,floodwaterscouldstillreach17matColumbiaandevenhigher upstream.BuildingsinColumbiaclosetothewaterwouldbeinundated,but thereshouldbeenoughwarningtimeforresidentstoescape.Bothourmodel andlocalevacuationplanssuggestthatlow-lyingareasformilesaroundwould becoveredwithwater. Thetextofthispaperappearsonpp.229-244. TheUMAPJournal26(3)(2005)217.@Copyright2005byCOMAP,Inc.Allrightsreserved. Permissiontomakedigitalorhardcopiesofpartorallofthisworkforpersonalorclassroomuse isgrantedwithoutfeeprovidedthatcopiesarenotmadeordistributedforprofitorcommercial advantageandthatcopiesbearthisnotice.Abstractingwithcreditispermitted,butcopyrights forcomponentsofthisworkownedbyothersthanCOMAPmustbehonored.Tocopyotherwise, torepublish,topostonservers,ortoredistributetolistsrequirespriorpermissionfromCOMAP. FromLakeMurraytoaDamSlurry229 FromLakeMurraytoaDamSlurry ClayHambrick KatieLewis LoriThomas HarveyMuddCollege Claremont,CA Advisor:JonJacobsen Summary WepredicttheextentoffloodingintheSaludariverifalargeearthquake causestheLakeMurraydamtobreak.Inparticular,wepredicthowhighthe waterwouldbewhenitreachedColumbiaandhowfarthefloodingwould