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198693(),,,(Kastner)、,R=2/~a。+。\.,_.2(a。a+。)、;~1t’n--,r“P.l+’“,,,lP`+-1:、、。,,。,,。,。〔1〕、〔“〕,()。,,,,。〔36〕,,,,。〔7〕、“〕,,。,,;,、,。1985l9。1968、,(1)(2),。、,e。。,。〔9〕,M。J(1)E—,M。—,M。=tg。。,e。=O,=0;a。90“,oc。0èl|Lè.。(e:).`()121.,,0.tg+C,:=KP。+`,C—,—,:,—,(2)(3)Kp1+sin=1sin,ac—。2.,:(Ia:,。)。cl。〕,,,==K+J。(￡),(4)—。,2d,M。(,).(5)3///、\3.,,1=K,+,(6)—。,、、(3)。3、1.(1)、,P。,,,,=￡1,￡r=￡3,a,=1,=,“d““`,￡,.(7)r`a。U。Ur(8),。—,,,a—;“—。(2)、(3,4(3)￡。+e,=0-,。2.,6)(9)a,=P。(10)a。=Po+`。a’.,()’,`”。·,()’,。—,1,86R—;。—,f,ZP。acK1。,Bo(11)B。—,B。=(1+)K1)P。+〕(KP+1)—。(7)B。/R\,B。/R\,`“,“.,-)·(12),=R,“,R,,:=e.3。(7)(9),,BoRZ(13)e。()’,、=()’.(14),(13),(14)。(5),,=R,`=。。=a。M。(e,e),。``,,。〔()’`〕·(15)(15),(4)(8),,R,=`,`、O,tlJ210.ac+。\f、U,=。~/2(Oc+。)c1,ae=K。。4.,,=R,=tR,J。=,“5,,qac+,B。(`),3。。(17)R:—,`--,`=R,/R。(6),,rZ/n。+B。\,。_,“L。’2(a。c*+。)K1a,=,+a.5。,,R`。(16)r,K,’_,、`R“’”}“8,。,`,R。=“2/。.Oe。、、-~~-1fn.~:-~.-}。.2(。+。).}」『“r1--,.;1,+l}`(19)。,P`,R。-—。,R。=a/.(20)(20),。。(1)R:=a/,,,R=R。。(2)R`a/`,。(]5),(16),=a,=p`,2/_.+。、/a\K·,+。。.。ZR\’。~/`.-/“U·“,(21)R。(R,,。)。(3)R,`/,,(18),`,`=,},.+、“,:_、“l」、l、、111、1},__、R=ll。(22)l,r,ll~~~l(’,1)Rt=;R(22a)6.52xg6s(2),。。(1)e。o,=o,(2)。(21)fZ,、、」1!P。+-l}、_l、1\“、P1/】=al—ll~!!I’`+`,~~-~,l’`1)(23)(23)〔2〕。(2)e。=900,=oc,(2)。,R,。(17)。2(Ue)1t,,,oc,“1。(22),fZP。Za。2(。。a)/“,`,1\、l++—`『1r.1。_l1IL1、P、y/l(=“l~l`+。`/、)),{ZP。l,+~.!`~,_。_1n1P11““:llll”““(`+“,/(K,1,)(24)(24)〔8〕。(3)a。,。。,(16)(18)。、1、(1)〔,(22),,,,。Rca/(25)(17);R`(19),P`=0。(2),,,。《,(26)“.,383。B--。2.。,,471。,(),(4)。,(5,6),,(7)。;1”))\、`.2。=7.e7MP.MrP。·6aOP22.a。a=or.512.400SOQ1200R。(en)45P。22。7,Mpa`50ac..1“.。(,02。à20..0`.02“.a:`d`.,600R·a(em)”,671,,。,。1,。)=8。45P[a,E=1705.2MPa,=27“,=0。32,“=Zm。(MPa)(C)(m)`…、0.9.7248112957ù.7ù·12。792907,67}12。79`。。51`6`,}(JZt.724,168、H300m,y=2.22/s,=0。49MPa,=1,a。=4.158MPa,E=138lMPa,。.22,=30”,a125nct。,。Po=3002。22xg。8x108=6。527MPa.(5)K==1+O。510。5(11)(17)Bo(1+0。22)〔(31)x6。527+4。158〕3+1=5.25MPa,[i5.25=V”“”I“·(19)·/1`____1_______`、、11}6。527+(4。158+1XS25)!!_J`Lj``=12b(~~)112,,。,,`,,。,、U4!l—、.10010`01-—l\44)==188。30c。-__`_。.`~_.__.a____.xJl(20),=188。30crr=162。91c。,,(22),lr____1`_______、、1_.、。!16。6+4。15+1X6。5)l`(4。1580。49+5。25)l~.t``Jq\(=~~r/`les}\2/=341。50cm-R,=R=262.03mc.(13),.=()’·’25=3·5“’.,341.5262.03mC,。3、1.,,、。,,。,。,。2.,。,,,,。3.,,,,。,。。4.。、,,,,。。,,,,。,I〔1〕,J.():《》,,1965。〔2〕,H.():《》,,1980。〔3〕Lew,K.,,《》,1981,1,70。〔4〕:,《》,V01.3,1981,N。。4,8192。(5〕HMe,H.:MeToHKacpoTebelao,1982,NoOnpeeH。9。3anPeebHxxaPaKTePHeT`noOPaMaee.e,IllaxTHoe〔6〕:《》,,1983。(7〕Brown,T.:GroundResPonseCurvesforRoekTunnels,J.ofGeoto.Eng.ASCE,Vol.10,,19as,No。1,1631。〔a〕Wilson,H.:AMethodofEatimatlnghteClosureandStrengthofLiningRequiredindrivagesSurroundedbyaYieldZone,I.J.RoekMeeh.Min.,V01.17,1980,No.6,349355.〔9〕,C。():《》,,1983。〔10〕ya,C.:MeaanMxeoopye,HePa,1,82.,,74,。、。“”、“”、“”,《》、《》“”、,’4”20()。681968,,25,。1982,1985,。。ANALYSISOFPLASTICZONEANDLOOSEZONEAROUNDOPENINGINSOFTENINGROCKMASSYuanWenboandChenJin(BB`j`。gPo;a“`eD。`,`,`”`-C,。I”s`。ofM。。9Toehlogy)AbtrCtAnelastoPlastiesoftenimodel15setuPaecordingtostrainsofteningde-ofrmationeharacteristiesofroekmass,meehaniealbehvaioursofplastieandloosezonearouudhteoPeninginthesoftroekarealsoanaiyzed,aofrmulaforealeulat-ingtheradiusofPlastiezone15derived,whieh15morePraetiealandhasawideraPPlieationseOPethanKastnerformula.R=(p。),``-+Pi2(。a+。)K1{Theresultsofthisroekmasshasagreat15PaPerhavebearingnotheradiimentofPlastieandloosezonesandshownthatthestrainsoftenibehaviuorofmeehanicaibehaviuorOfsurruondingroek,tsatbilityofthesurroundingroek.Reinofree-ofhterockaroundtheoPenings15aneeffetivehtodforeontrollingsoftenigllofroekmassandincreaseofitsresidualstrength.