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19971013,19982124119983JOURNALOFGEOMECHANICSVol.4No.1Mar.1998(),,,,,0,,:,,[1],,,,,,,,F.H.CornetHTPF(HydraulicFracturingTestonPre2existingFractures)[2],,Y.Mizuta[3]M.Kuriyagawa[4],,[5],,73©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.Y.Mizuta[3]M.Kuriyagawa[4][5],,M(Y.Mizuta,M)1M111MMY.Mizuta[3],M.Kuriyagawa,M:,,1Fig.1Thedistributionofstressesandcracksontheboreholewall:,,,83©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.[3],1,Pw,,:Rr=Pw(1)RH=Rx+Ry-(2Rx-Ry)cos2H-4Sxysin2H-Pw(2)Rz=Rz-2M[(Rx-Ry)cos2H+2Sxysin2H](3)SrH=0(4)SHz=2(SyzcosH-SzxsinH)(5)Szr=0(6),Pw,(H),,H-z,:Rm=12RH+Rz-(RH-Rz)2+4S2Hz(7),HPwPw,H,[4],(1)Cm:Cm=12tan-12SHzRH-Rz(8)HayashiAbe[6],Cm,,Y.Mizuta,(1),:Rxi=3Ryi-Psbi(9)Ryi=Psi(10)Rxi,Ryiixiyi,PsbiPsi,,MY.Mizuta,M.Kuriyagawa,,M,:,,M::M.Kuriyagawa,,M,,112,M:,93©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,RHRm:RH=Rx+Ry-2(Rx-Ry)cos2H-4Sxysin2H-Pw(2)Rm=12RH+Rz-(RH-Rz)2+4S2Hz(7)20147MPa,,U=50,W=10(2)24MPa,3,4MPa,29,,,M,:2Fig.2Sketchoftheboreholeinthefixedcoordinatesystem,,Rm=T,(2)(3)(5)(7),:[(1-2cos2H-2Mcos2H)Rx+(1+2cos2H+2Mcos2H)Ry-(4+4M)sin2HSxy+Rz-Pw+2T]2=[(1-2cos2H-2Mcos2H)Rx+(1+2cos2H+2Mcos2H)Ry+(4-4M)sin2HSxy-Rz-Pw]2+16(SyzcosH-SzxsinH)2(11),,5Rm5H=0:(4+4M)sin2HõRx-(4+4M)sin2HõRy-(8+8M)cos2HõSxy04©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.3Fig.3Distributionoftangentialstressandminimumprincipalstressonboreholewall=AõB-8S2yzsin2H+8S2zxsin2H-16SyzõSzxõcos2HA2+16(S2yzcos2H+S2zxsin2H-SyzõSzxsin2H)(12),A=[1-2cos2H+2Mcos2H)Rx+(1+2cos2H-2Mcos2H)Ry-Rz-(4sin2H-4Msin2H)Sxy-Pw]B=[(4sin2H-4Msin2H)(Rx-Ry)+(8M-8)cos2HSxy](11)(12)Rx,Ry,Rz,Sxy,Syz,Szx,RX,RY,RZ,SXY,SYZ,SZXMT,8PwH,,PwH68,,,Psi[2],6:Psi=RXl2+RYm2+RZn2+2SXYlm+2SYZmn+2SZXnl(13),l,m,n,6(6)()8,,113,14©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,F.H.Cornet[2]BerntSigveAadnoy[7]B.Haim2son,:,,,,,,,,,,;,,,,60,,,,,()PwH(x)Rn,(PwHRn),,,:753MPa,4MPa,0121;,W1=10,U1=50;W2=190,U2=40;W3=150,U3=40,WU2HPw(1),Ps(Rn),O2XYZ(PwHRn)XYZRX=7MPa,RY=5MPa,RZ=3MPa,SXY=0,SYZ=0,SZX=0(1)-(7)Rm=T5Rm5H=0()HPwRn(1)1PwHRnTable1DeducedPwHRnfromassumedstressandrockmechanicalparametersW1=10U1=50H1=34Pw1=12154(MPa)W2=190U2=40H2=1018Pw2=11100(MPa)W3=150U3=40H3=16318Pw3=9194(MPa)l1=015m1=015n1=0171Rn1=415(MPa)l2=0135m2=0135n2=0187Rn2=3175(MPa)l3=0143m3=0125n3=0187Rn3=3188(MPa):liminii6(),,2411,1994©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.(11)(12)(13),6(2)2(:MPa)Table2Theinversionresults(stressunit:MPa)RXRYRZSXYSYZSZXMT75300001214619041942196011610-501810-6011410-60120411,[110,2010],[011,013][110,1010],,,2,[3-5],,,,,,,,,,,1,11,1989,5(3)2CornetFH.InsitustressheterogeneityidentificationwiththeHTPFtool.RockMechanics,Tillerson&Wawersik(eds),19923MizutaY,SanoO,OginoS,etal.Threedimensionalstressdeterminationbyhydraulicfracturingforundergroundexca2vationdesign.IntJRockMechMinSci&GeomechAbstr.1987,24(1):15294KuriyagawaM,etal.Applicationofhydraulicfracturingtothreedimensionalinsitustressmeasurement.IntJRockMechMinSci&GeomechAbstr.1989,26(6):587593511,1991,10(3)6HayashiK,AbeH.Anewmethodforthemeasurementofinsitustressingeothermalfields.JGeothermalResSocJapan,1984,6(3):2032127BerntSA.Inversiontechniquetodeterminethein2situstressfieldfromfracturingdata.JournalofPetroleumScienceandEngineering,1990,4:12714134©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.THEORETICALDISCUSSIONON3-DHYDRAULICFRACTURINGINSITUSTRESSMEASUREMTNTChenQunceAnMeijianLiFangquan(InstituteofCrustalDynamics,SSB)AbstractInthispaper,themechanicsanalysisforthetraditional32Dhydraulicfracturingin2situstressmeasurmentmethodisdone,andanewtheoreticalmodelproposed.Themini2mumprincipalstresscriteriaadoptedinthenewmodel,comparedwiththeminimumtangen2tialstresscriteriaoftraditionalmethod,illustratesthemechanismduringhydraulicfracturingproceduremoreobjectively.Toillustratetheprocedureofthismethodanditsapplicability,thegeneticalgorithmsinversiontechniqueisadoptedtoestimateassumedstressstate.Theresultsshowthatthemethodisapplicable.Keywordshydraulicfracturing,32Dinsitustressmeasurements,geneticalgorithms,,1963,1986,1989,:2855:10008544©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.