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'April30,2009PrincipleofHydrology,BNU1Chapter7HydrographAnalysisProf.ZongxueXU
April30,2009PrincipleofHydrology,BNU2ObjectivesUnitHydrographT-hourUHInstantaneousUHDimensionlessUHUHtransformationUHApplication
April30,2009PrincipleofHydrology,BNU3UnitHydrograph(UH)Definition(Sherman,1932):Ifagivenone-dayrainfallproducesa1-in.depthofrunoffoverthegivendrainagearea,thehydrographshowingtheratesatwhichtherunoffoccurredcanbeconsideredaunitgraphforthatwatershed.
April30,2009PrincipleofHydrology,BNU4UnitHydrograph(UH)AnotherdefinitionThehydrographthatresultsfrom1in.ofrainfallexcessgenerateduniformlyoverthewatershedatauniformrateduringaspecifiedperiodoftime.
April30,2009PrincipleofHydrology,BNU5BasicAssumptions1in.ofrainfallexcessAuniformspatialdistributionofrainfalloverthewatershedArainfallexcessratethatisconstantwithtimeAspecificdurationofrainfallexcess
April30,2009PrincipleofHydrology,BNU6UnitHydrograph(UH)Remarks:Aunithydrographisthehydrographofdirectrunoff(excludingbaseflow)Aunithydrographisproducedby1.0inchofnetrain(thetotalrunoffafterabstractions)
April30,2009PrincipleofHydrology,BNU7UHClassificationT-hourUH(TUH)InstantaneousUH(IUH)DimensionlessUH(DUH)
April30,2009PrincipleofHydrology,BNU8T-HourUnitHydrographDefinition:Thehydrographthatresultsfromastormwithaconstantdepthofrainfallexcessof1in.overadurationofThours.ExampleA2-hrunithydrographwouldhavea1.0-in.volumeproducedbya2-hrnetrainfall.
April30,2009PrincipleofHydrology,BNU9InstantaneousUHDefinitionAspecialcaseoftheT-hourUH,withthedurationofrainfallexcessbeinginfinitesimallysmall
April30,2009PrincipleofHydrology,BNU10DimensionlessUHDefinitionAdirect-runoffhydrographwhoseordinatesaregivenasratiosofthepeakdischargeandwhosetimeaxisisdefinedastheratioofthetimetothepeak
April30,2009PrincipleofHydrology,BNU11UnitHydrographinChinaTimeperiod:T-hour:1-,3-,6-,12-,24-hour,etc.Unitnetrain:10mm
April30,2009PrincipleofHydrology,BNU12ImplicitAssumptionImplicitAssumptioninUHRainfallisdistributedinthesametemporalandspatialpatternforallstorms
April30,2009PrincipleofHydrology,BNU13DerivationofUHSelectionofstormsStormsoccurringindividually,thatis,simplestormstructureStormshavinguniformdistributionofrainfallthroughouttheperiodofrainfallexcessStormshavinguniformspatialdistributionovertheentirewatershed
April30,2009PrincipleofHydrology,BNU14ConvolutionIntegralU(t):Time-distributedUHx(t):Computedtimedistributionofrainfally(t):Timedistributionofdirectrunoff
April30,2009PrincipleofHydrology,BNU15DiscreteFormofConvolutionProcess
April30,2009PrincipleofHydrology,BNU16StepstoDevelopUHAnalyzethestreamflowhydrographtopermitseparationofsurfacerunofffrombaseflowEstimatethetotalvolumeofsurfacerunoff(directrunoff)fromthestormproducingtheoriginalhydrograph,theareaunderthehydrographafterbaseflowisremoved
April30,2009PrincipleofHydrology,BNU17StepstoDevelopUHDividetheordinatesofthedirectrunoffhydrographbytotaldirectrunoffvolume,andplottheseresultsversustimeasaunitgraphCalculatetheeffectivedurationofrunoff-producingrainforthisunitgraphfromthehyetographofthestormeventused.
April30,2009PrincipleofHydrology,BNU18S-Hydrograph
April30,2009PrincipleofHydrology,BNU19S-HydrographApplication
April30,2009PrincipleofHydrology,BNU20InstantaneousUnitHydrograph(IUH)AnotherdefinitionThehydrographofrunoffthatwouldresultif1in.ofwaterwerespreaduniformlyoveranareainaninstantandthenallowedtorunoff.
April30,2009PrincipleofHydrology,BNU21SyntheticUnitHydrographGammadistribution
April30,2009PrincipleofHydrology,BNU22HydrographRoutingPurposesPredictthetemporalandspatialvariationsofahydrographasittraversesariverreachorreservoirClassification(physicalprocessequationofmotion)HydrologicapproachHydraulicapproach
April30,2009PrincipleofHydrology,BNU23SummariesUnitHydrographUHderivationUHapplication
April30,2009PrincipleofHydrology,BNU24Questions&Suggestions?
April30,2009PrincipleofHydrology,BNU25SeeYouNextWeek!'