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                              Calculationmethodforerosionanddepositionprocessesin
                               theSanmenxiareservoirbasedondelayedresponsemodel

                                                                               1
                                                                2
                                                  1
                                          SHENYi,ZHENGShan,WUBaosheng
                          (1.StateKeyLaboratoryofHydroscienceandEngineering,TsinghuaUniversity,Beijing 100084,China;
                    2.StateKeyLaboratoryofWaterResourcesandHydropowerEngineeringScience,WuhanUniversity,Wuhan 430072,China)

                  Abstract:Basedonthegeometricrelationshipofequilibriumprofilesofreservoirdepositionandmechanismanaly
                  sis ,thecalculationformulasofequilibriumvalueofTongguan’selevationandaccumulateddepositioninthereser
                  voirareobtained.Consideringthefactthatchanneladjustmentratevarieswitherosionanddepositionstateandwa
                  terandsedimentconditions ,thecalculationmethodsofTongguan’selevationandaccumulateddepositionarees
                  tablishedbasedonsingle - stepmodeofdelayedresponsemodel.Theresultsshowthatthecoefficientofdetermina
                      2
                  tionR betweenthecalculatedandmeasuredvaluesofTongguan’selevationis0.80and0.75in1975 - 2002and
                                                                 2
                  2003 - 2018respectively ,andthecoefficientofdeterminationR betweenthecalculatedandmeasuredvaluesofac
                  cumulateddepositionis0.95and0.84in1967 - 2002and2003 - 2018respectively.Byusingtherelationshipbe
                  tweenquasiequilibriumstateanddecayrate ,therelaxationtimerequiredforTongguan’selevationandaccumula
                  teddepositiontoreachquasiequilibriumstateiscalculated.TheresultsshowthattherelaxationtimeforTongguan’s
                  elevationtoreachquasiequilibriumstateisabout10.2years,therelaxationtimefortheaccumulateddepositionto
                  reachquasiequilibriumstateisabout6.7years.ItshowsthatthechangeofTongguan ’selevationdelayedbehind
                  thechangeofaccumulateddeposition.Inaddition, theperiodbyperiodadjustmentprocessofTongguan’s
                  elevationandaccumulateddepositioncharacterizedbyaimingattheequilibriumvaluereflectstheautomaticadjust
                  mentanddelayedresponsecharacteristicofriverbedevolution.
                  Keywords:Sanmenxiareservoir; reservoirsedimentation; Tongguan’selevation; delayedresponse; Quasi -
                  equilibriumtime


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