环境水力学反问题研究进展刘晓东

刘晓东1,2,姚　琪1,2,薛红琴3,褚克坚1,2,胡　进2(1.,　210098;2.,　210098;3.,　210037):,、,。,,。,,。、、、5。,。　　:;;;;:TV122;X52;G353.11　　　:A　　　:1001-6791(2009)06-0885-09:2008-12-19:(973)(2008CB418202):(1972-),,,,,。E-mail:[e-mail]2060,、、、、、()、,。,,,。,,、、、5,。1　1.1　,。,,[1]。,,;,[2-3]。。,()、。,()、、。1.2　,。:。206200911　　ADVANCESINWATERSCIENCEVol.20,No.6　Nov.,2009　DOI:10.14042/j.cnki.32.1309.2009.06.014、。,。ΓΨ,L(Υ)=0　　ΨB(Υ)=0　ΓI(Υ)=0　　t=0(1)　Υ();t;L、B、I、。(1),、、、。1。1　Table1Sortsofinverseproblemsofenvironmentalhydranlics　　　　　　　　　　　　　　2　,、、、5。2.1　(1)　,,。,。[4]、[5],。,、,,。2070,(、)[6]。,。:、;,;;,。,[7][8]。(2)　。,、。,,,、、、。Einstein,,TaylorFischer“”[9]。,“”,,。,,[10-14]。[10]、88620[11]、[12]、[13]、[14]。,“”,。,Fischer[9],,,。,。[13],,。[15],“”,、。Deng[16],FFICK2,F,1.4～2.0。,,[17]。、,、、,,,[18]、[19-20][21]。,[22]。,,,。,,。,,,,、[23-26]。10,、,。Chen[27]2070,:,。[28-29],。,:、、,Green,,Green,,,。、,Tikhonov2060[30],[1,31]。[32-33],。[34]Tikhonov。[35]DobbinsBOD-DO-。,,,。,,,Bayesian[36-37]、RSA[38-39]GLUE[40]。,“”。,,,,,。(3)　,,、。[41]3,。,[42]、[43]-。,-,。[44]。Shen[45]887　6,:,,,813,(RappahannockRiv-er)。(4)　,,。,。2070,,2090,Wasantha[46],Rahman[47],。[48],,,,,。。2.2　,、、Υ(x,t),,。,,。[49-50]-Green、-,。[51],。,,,,,。2.3　,()、、、Υ(x,t),(),。,,。、、、。,,。、()。,,,()。,Ecker[52],Loucks[53],。DonaldBarbara[54]、,。Li[55]。Hutcheson[56]。,,。10,、。、[50,57]--,。[58],,[59],。[54]。Jae[60]。2.4　,、、Υ(x,t),,,()。,。:;88820。。Andreas[61],。[62],Fourier-,L2,Tikhonov。Hasanov[63]。2.5　,、、Υ(x,t)ΨΓ,ΨΓ,,。,,,[64],。,,,、。,Vassolo[65]Chevalier[66]。,。3　(1)、。,,,,。(2),,。,,,,;、、,,,、。(3),、、、、、、、,。,,。,,。(4),,,,、、、。,。,。,、、、。,,,。、,。、、、,、。889　6,::[1],,.[M].:,2003:1-2.(XIAOTing-yan,YUShen-gen,WANGYan-fei.Numericalmethodsofinverseproblem[M].Beijing:SciencePress,2003:1-2.(inChinese))[2],.[M].:,1993:1-2.(HUANGGuang-yuan,LIUXiao-jun.Inverseprob-lemsofmathematicalphysics[M].Jinan:ShandongScienceandTechnologyPress,1993:1-2.(inChinese))[3]MARCHUKGI.Methodsofnumericalmathematics[M].NewYork:Springer-Verlag,1982:107-118.[4]WANGQJ.Thegeneticalgorithmanditsapplicationtocalibratingconceptualrainfall-runoffmodels[J].WaterResourcesResearch,1991,27(9):2467-2471.[5]YEHWG.Reviewofparameteridentificationproceduresingroundhydrology:Theinverseproblem[J].WaterResourcesResearch,1986,22(2):95-108.[6].[M].:,1999:449.(LIWei.Advancesinenvironmentalhydraulics[M].Wuhan:WuhanUniversityofHydraulicandElectricEngineeringPress,1999:449.(inChinese))[7]SIDAURUKP,CHENGHD,OUAZARD.Groundwatercontaminantandtransportparameteridentificationbycorrelationcoefficientoptimiza-tion[J].Groundwater,1998,6(2):208-214.[8]MCKINNEYDC,MINDL.Geneticalgorithmsolutionofgroundwatermanagementmodels[J].WaterResourcesResearch,1994,30(6):1897-1906.[9]FISCHERHB,LISTEJ,KOHRCY,etal.Mixingininlandandcoastalwaters[M].NewYork:AcademicPress,1979:81-147.[10],.[J].,1990,11(2):24-27.(GUOJian-qing,WENJi.Thelinergraphicmethodfordetermininglongitudinaldispersivecoefficientofthestreamsbytracertest[J].EnvironmentalScience,1990,11(2):24-27.(inChinese))[11],,.[J].,2000,11(4):387-391.(GUOJian-qing,WANGHong-sheng,LIYun-feng.Thecorrelationcoefficientextremevaluemethodtodeterminethedispersionparametersofriver[J].Ad-vancesinWaterScience,2000,11(4):387-391.(inChinese))[12],,,.[J].,2005,25(2):11-13.(GUOJian-qing,LIYan,WANGHong-sheng,etal.Approximatefittingmethodofparabolicequationfordeterminationofwaterqualityparametersforrivers[J].AdvancesinScienceandTechnologyofWaterResources,2005,25(2):11-13.(inChinese))[13].[D].:,1985:53-94.(ZHOUKe-zhao.Studyondeterminationoflongitudinaldispersioncoefficientofnaturalriversbasedontracertests[D].Beijing:TsinghuaUniversity,1985:53-94.(inChinese))[14]SINGHSK,BECKMB.Dispersioncoefficientofstreamsfromtracerexperimentdata[J].JournalofEnvironmentalEngineering.2003,129(6):539-546.[15],,,.[J].,2007,38(12):1421-1425.(GULi,HUAZu-lin,HEWei,etal.Routing-optimizationmethodfordeterminationoflongitudinaldispersioncoefficientinriver[J].JournalofHydraulicEngineering,2007,38(12):1421-1425.(inChinese))[16]DENGZQ,LARSB,VIJAYPS.Parameterestimationforfractionaldispersionmodelforrivers[J].EnvironmentalFluidMechanics,2006,6(5):451-475.[17],,.[J].,2006,17(4):574-580.(WANGJian-ping,CHENGSheng-tong,JIAHai-feng.Advancesinstudyonparameteridentificationmethodsforenvironmentalmodels[J].AdvancesinWaterScience,2006,17(4):574-580.(inChinese))[18],,,.SA[J].,2003,15(12):1750-1762.(GUOJian-qing,LIYan,WANGHong-sheng,etal.Simulationexperimentonapplicationofimprovementsimulatedannealingmethodtoes-timatingwaterqualityparametersofriverstream[J].JournalofSystemSimulation,2003,15(12):1750-1762.(inChinese))[19],,.[J].,2002,23(2):1-6.(LIUYi,CHENJi-ning,DUPeng-fei.Comparisonofparameteroptimizationalgorithmsforenvironmentalmodel[J].EnviromentalScience,2002,23(2):1-6.(inChinese))[20]NGAWM,PERERABBJC.Selectionofgeneticalgorithmoperatorsforriverwaterqualitymodelcalibration[J].EngineeringApplications89020ofArtificialIntelligence,2003,16(6):529-541.[21]GLOVERF,LAGUNAM.TabuSearch[M].Boston:KluwerAcademicPublisher,1997:73-88.[22],,.FVM-HGA[J].,2007,26(6):91-95.(ZHUSong,MAOGen-hai,LIUGuo-hua.Parametersidentificationofriverwaterqualitymodelbasedonfinitevolumemetho