采空区孔隙率非均质模型及其流场分布模拟

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349Vol.34No.920099JOURNALOFCHINACOALSOCIETYSep.2009:0253-9993(2009)09-1203-051,2,3,3,3(11,310007;21,110016;31,116024):,,;Brinkman2ForchheimerDarcy,,.U:10m,,014,,011,;,,40m,.:;;;;:TD721:A:2009-03-08::(973)(2006CB202206);(50574049):(1974),,,.Tel:024-24117317,E-mail:liangyuntao@vip1sina1comHeterogeneousmodelofporosityingobsanditsairflowfielddistributionLIANGYun2tao1,2,ZHANGTeng2fei3,WANGShu2gang3,SUNJin2peng3(11StateKeyLaboratoryofCleanEnergyUtilization,ZhejiangUniversity,Hangzhou310027,China;21StateKeyLaboratoryofCoalMineSafetyTech2nology,ShenyangResearchInstituteofChinaCoalResearchInstitute,Shenyang110016,China;31SchoolofCivil&HydraulicEngineering,DalianUniversityofTechnology,Dalian116024,China)Abstract:Thedisadvantageofexistinggobporosityorpermeabilitymodelswasanalyzed,whichgenerallysimplifyporosityorpermeabilityasdiscontinuousdistributedorone2dimensionalcontinuousparameter.Basedonthetheoryofroofstratacollapse,thedistributionmodelofcontinuousandheterogeneousporosityandpermeabilitywasde2duced.ByincorporatingtheBrinkman2Forchheimer2extended2Darcymodelespeciallyforairflowinpermeablegobs,andapplyingthestreamfunction2vorticityapproachofporous/fluidcompositesystem,themathematicmodelofseepagefiledinvolvetheminingfaceandthegobwasestablished.ThesimulationofaUventilationretreatinglongwallfaceshowsthattheporosityhaveatwodimensiondistributionrulebothonthegobinclinedirectionandfaceworkingdirection.Within10mawayfromthecoalminingface,thegobporosityreachesabout014duetothesupportingofcoalpillarandsupports.Forreasonofroofstratacollapse,theporositydecreasesquicklyalongthegobdirection,finallytoabout011inthegobboundary.Ontheotherhand,theleakagefiledshowanasymmetricairflowpatternperpendiculartothefacecenterlineinthegob.Theleakageairflowreturnsbackinthefrontofthemiddleoftheworkingface.Moreover,theleakageintensityreducesgraduallyalonggobdepthdirection,andtheintensityalmostunchangedintheplaceof40mawayfromworkingface.Keywords:gob;porosity;porousmedia;leakageairflow;seepagefield200934,.,:[1],;,,,2[2].,[3],,.,,2,.2[4]:2,;,,.,[5]CFD[6],.,.N-S,.1111,-929x2+929y2=,(1),,;.x,y.Brinkman-ForchheimerDarcy,N-S,.,(),.,[7],,,,,,u99x+v99y=f929x2+929y2+Xp2FKv9u9x-u9u9y-2fK-2FKu+Xi2fv99x1K-fu99y1K+vu99xFK-uu99yFK,(2),u,vx,y,m/s;f,m2/s;,1,KF,F=11751503,K=K0012413(1-)2[6],K010-9m2[8];u,m/s;Xp,Xi,Xp=1(),0(),Xi=1(),0().112,,.1U,2lxly.40219:(x),,,.2[2],()hf;()hi;H.xHKAH=lxalx+b(10mlx90m),0(lx10m),(3)KA=1+hf-Hhi(lx90m),1102511000(lx90m).(4),a,b,,.(3).x,(x,ly/2).(y),HmHe.[9],yk(y)k(y)=HmHe+1-HmHesinlyy,(5)(x,y)=k(y)(x,ly/2).(6)(3)(6).113,Fortran,.,,,,;;,,TDMA;,,,.210-5,.2211,SS6-3,1.,510m,.,,212m.U,220m3/min.60m,3m,100m..,;50212009340220m3/min(),;.2122800,7040,.3,10m,,,014;,011.4.,.4,,015m,,1525m,.(5560m),,.,,,,.5.,,,20m(30m),,,,.5(b),,,U[10].,,40m.5Fig15Theairflowvectorgraphofthestope3(1)DarcyBrinkman-ForchheimerDarcy,,60219:,.(2),,,.(3)U,,.(4)U,,.:[1],.[J].,1982,7(2):1-12.QianMinggao,LiHongchang.Astudyofthebehaviourofoverlyingstratainlongwallmininganditsapplicationtostratacon2trol[J].JournalofChinaCoalSociety,1982,7(2):1-12.[2].[M].:,1988:38-83.[3]WolfKH,BruiningH.Modellingtheinteractionbetweenundergroundcoalfiresandtheirroofrocks[J].Fuel,2007,86:2761-2777.[4]GoyeauB,LhuillierD,GobinD,etal.Momentumtransportatafluid-porousinterface[J].InternationalJournalofHeatandMassTransfer,2003,46(21):4071-4081.[5],.[J].,1983,8(3):46-54.ZhangMengtao,WangJingyan.Mathematicalmodelandnumericalmethodforairflowinmineworkings[J].JournalofChinaCoalSociety,1983,8(3):46-54.[6]YuanL,SmithAC.Numericalstudyoneffectsofcoalpropertiesonspontaneousheatinginlongwallgobareas[J].Fuel,2008,87:3409-3419.[7]HuangPC,VafaiK.Analysisofforcedconvectionenhancementinachannelusingporousblocks[J].JournalofThermo2physicandHeatTransfer,1994,8(3):563-573.[8]HoekE,BrayJW.Rockslopeengineering[M].London:Inst.MiningandMetallurgy,1981:358.[9].[M].:,2002:65-67.[10].[D].:,2003:68-69.WenHu.Studyonexperimentalandnumericalsimulationofcoalself2ignitionprocess[D].Xian:XianUniversityofSci2enceandTechnology,2003:68-69.,,2009-01-01,,.7021

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