简介：Theparticlesizedistributionofbedmaterialsinthesandyriverbedofalluvialriversisimportantinthestudyoftopicssuchasfriction,riverbedevolution,erosion,andsiltation.Italsocanreflectthedependencyrelationbetweenriverbedsedimentandflowintensity.Inthispaper,thecriticalpatternofsedimentmovementinthenear-wallregionofasandyriverbedwasanalyzed.Accordingtotheprincipleofmomentumbalance,thecriticalsettling-risingconditionofbedmaterialinasandyriverbedwasfoundtobeinstantaneousturbulentvelocityequalto2.7timesthesedimentsettlingvelocityinquiescentwater.BasedonaverticalinstantaneousturbulentvelocitywithaGaussiandistribution,atheoreticalrelationforcalculatingtheparticlesizedistributionofbedmaterialsinasandyriverbedwithoutpre-knowncharacteristicgrainsizeswasdevelopedbysolvingastochasticequation.Theformulaisverifiedusingmeasureddata,andtheresultsshowthattheproposedformulawasinaccordancewiththemeasureddata.Thisstudyhastheoreticalsignificanceandpracticalvaluefordeterminingthebedmaterialparticlesizedistributionofthesandybedofalluvialrivers.