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英文原文:
Analyticalmodelandapplicationofstress
distributiononminingcoalfloor
ZHUShu-yun1,JIANZhen-quan1,HOUHong-liang2,XIAOWei-guo1,YAOPu1
1SchoolofResourcesandEarthScience,ChinaUniversityofMining&Technology,Xuzhou,Jiangsu221008,China
2DepartmentofPreventionandTreatmentforCoalMineWater,ZhengzhouCoalGroupLtdCo,Xinmi,Henan452371,China
Abstract:Giventheanalysisofundergroundpressure,astresscalculationmodelofcolafloorstresshasbeenestablishedbasedonatheoryofelasticity.Themodelpresentsthelawofstressdistributionontherelativelyfixedpositionoftheminingcoalfloor:theextentofstressvariationinafixedfloorpositiondecreasesgraduallyalongwithdepth.Thedecreasingrateoftheverticalstressisclearlylargerthanthatofthehorizontalstressataspecificdepth.Thedirectionofthemaximumprincipalstresschangesgraduallyfromaverticaldirectiontoahorizontaldirectionwiththeadvanceoftheworkingface.Thedeformationandpermeabilityoftherockmassofthecoalfloorareobtainedbycontrastingthedifferenceoftheprincipalstressestablishedfromtheoreticalcalculationswithcurvesofstress-strainandpermeability-strainfromtests.Whichisanimportantmechanicalbasisforpreventingwaterinrushfromconfinedaquifers.
Keywords:model;coalfloor;stressdistribution;analysis
1Introduction
1
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Withthedevelopmentofcoalseammining,Thestressfieldofrockstrataofcoalseamfloorswillchangeandcontinuetoberedistributedbecauseoftheeffectofmining.Theresultswillbringonfloordeformation,displacementandpossibledestructiontoattainanewbalance[1].Astudyofthelawofstressdistributionoffloorshasimportant,practicalimplicationsinunderstandingdeformationanddestructivecharacteristicsandpredictingwaterinrushfromfloorsandfordesigningsuitablelocationsfortunnelsandselectingmaintenancemethodswhendepthincreased.Atpresent,thestudyofthelawofstressdistributionoffloorsmostlyproceedsfromanumberofcalculationsbasedonfiniteelementanalysesandsimilarmaterialtests[2-6].Inthispaper,thestudyofstressdistributionoffloorsinrelativelyfixedpositionsisdiscussedanalyticallywithatheoryofelasticityandwepresentanapplicationcombinedwithactualdataofaparticularsite.
2Fundamentalprinciple
Theformulasofstressdistributionarederivedfromthesuperpositionprinciple,giventhetheoryofelasticityondistributedloadsonasemi-infiniteplane[7-8].TheverticaldistributionloadofABonasemi-infiniteplaneisassumedtobeq(x,asillustratedin.Wewanttosolvethestateofstressataspecificpointinsideasemi-infiniteplane,suchaspointM.Supposingthecoordinateofpointis(x,z,themicro-1engthdζfromtheoriginofcoordinateisζ