复杂地质条件下公路隧道围岩监控量测与非确定性反分析研究

232023(20)34603464200410ChineseJournalofRockMechani[e-mail](400067)(310027)U459.2A1000-6915(2004)20-3460-05STUDYONMONITORINGANDBACKANALYSISFORROADTUNNELWITHCOMPLEXGEOLOGYJiangShuping1ZhaoYang2(1ChongqingCommunicationsResearchandDesignInstituteChongqing400067China)(2InstituteofCommunicationsEngineeringZhejiangUniversityHangzhou310027China)AbstractTheitemsandmethodsofmonitoringforexpresswaytunnelconstructedbyNATMwithcomplexgeologyarediscussed.BackanalysisismadebyusingmonitoreddatawithextendedKalmanfilter-FEMandthetime-varyingestimationofthedistributionofinternalshearstrainandplasticzoneareobtained.Resultshowsthatthedistributionofplasticzoneforrockmassisasymmetricalanditisinagreementwiththemonitoreddata.Theinternaldevelopmentstateofsurroundingrocksisrevealedandvaluableguidanceisprovidedforoptimizingconstructionmethod.KeywordstunnellingengineeringcomplexgeologydisplacementmonitoringextendedKalmanfilter-FEMbackanalysis120702320.•3461•2()()150km2281433.1[1]13.2[2]595m138m500m103m11.00m7.25mF2F31035m9385III125SK313+8501Fig.1Arrangementofitemsandpointsofmonitoring152535455565753514253•3462•20041Table1ArrangementofmonitoringsectionsK313+485K313+604K313+615+K313+655+K313+735K313+775K313+850+K313+850+2Fig.2Convergencecurves3Fig.3Internaldisplacementofrockmass4Fig.4Distributionofaxialforceofbolt5Fig.5Earthpressureontheinitialsupport252433.5m2.0m45[3]44.1()Bayes[47](ExtendedKalmanFilter)-[810]024681012145.45.95.145.195.245.296.3/./mm6.8+32101230.00.51.01.52.02.5/m/mm+40302010010200.81.31.82.32.8/m/kN500501001502002503004.285.75.165.256.36.126.216.307.9/kPa/.2320.•3463•(1))]ˆ([ˆˆ11---+=tttttttttxhzKxx(1))ˆ(ˆ1tttttxfx=+(2)(2)⋅=--)ˆ(1T1ttttttxHPK11T11)])()([----+tttttttttRxHPxH(3)(3)111)ˆ(----=ttttttttttPxHKPP(4)tttttttttttQxFPxFP+=+)ˆ()ˆ(T1(5)(1)(5)ttxˆzttittx1ˆ+ti+1zttiPttKtHtFtQtti4.2132120m90m104(8)32982Table2Initialcalculationparameters/mg/kNm3vj/()e0/%10327.40.3300.60674d6sx0/EFig.6Developmentcurveoftheevaluationforsx0/E7Fig.7Developmentcurveoftheevaluationfortheelasticmodulusofsurroundingrockmass8(a)(d)(1)2d0.8%()(2)6d0.4%0.6%2.6%(3)17d3.2%1.0%(4)35d3.4%3m3.5m0.50.40.30.20.1/(d)1(1)4(4)7(10)10(20)13(35)(sx0/E)/103/(d)1(1)4(4)7(10)10(20)13(35)80006000400020000E/103MPa•3464•20048Fig.8Developmentoftheplasticzonewithtimeinsurroundingrockmass5(1)(2)-(3)1.[M].19902.[R].20013.(JTJ042-94)[S].19964.[J].1991(5)575.[J].199517(3)36416.[J].200120(4)4324357.[J].200230(4)4034088.[M].1987.9.[M].199610.[J].199618(4)111922(a)65(b)179(c)3513(d)