水压致裂法地应力测量若干问题的探讨

(,,430010),,,,,:0,,,,5105m(),2000m(),,500m(),307m(),,,,;(12m),;,,,,,,,,1111,(),(),,,1997-11-30,,61,22319997JOURNALOFSEISMOLOGICALRESEARCHVol122,No13July.1999©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,,,,,PrPs,Ps,,,F1H1Cornet,RummelHaimson,,,112,,Pb,,PsPr,[1]:1Ps(a);(b);(c)Ps,PbPr,,1,,,,,,,,PsPr,,(),Pr,2PsPr,113,,H(,H)v,66222©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.2736-737,PsPr3vHH1K1(3),(1000m)H(301027MPa/m)A1B1915m,v/H0184%,v/H=01811223%,v/H11273%,37200m(500m),v/H=0181125%,v/H01816%,v/H11279%,v/H20[2],,,,,,,1000m,,,114,,,,[3][4],,,,,Ai+Bi=x1-cos2icos2(o-i)+y1-cos2isin2(o-i)+zcos2i-xycos2isin2(o-i)-yzsin2isin(o-i)-zxsin2icos(o-i);(Ai-Bi)cos2Ai=x1-(1+sin2i)cos2(o-i)+y1-(1+sin2i)sin2(o-i)-zcos2i-xy(1+sin2i)sin2(o-i)+yzsin2isin(o-i)+zxsin2icos(o-i);(1)(Ai-Bi)sin2Ai=xsinisin2(o-i)-ysinisin2(o-i)-2xysinicos2(o-i)+7623:©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.2yzcosicos(o-i)-2zxcosisin(o-i).i,i=1n,n;iii;oX;AiBii;Aii(1),33,,115,,=3B-A-Pw;Z=-2(A-B)+zo;(2)r=Pw1zo;Pw(2),,,zrPw,,,,,,,LjunggrenHockBrown,13[5]:1=3+mc3+c2(3)4HockBrownc,m,,T,1=0,3=-T,(3)m=cT-Tc(4)4,(2),zrr(r0),,5a5d4(rz),Pw,,,86222©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,541(rz)2(zr),,;3(rz),,116[6],,(,),,,(,),,AB,,A;,zoPs,AB,,,,rz(2),(3),A(A-B),12,AA=(-b+b2-4ac)/2a(5)a,b,c,a,bb2-4ac1(rz):a=1;b=mc+4Pb-6Ps;(6)b2-4ac=(m2+4)c2+4mPbc.2(zr):a=1;b=mc-2(1-2)(3-2)Ps-Pb-zo;(7)b2-4ac=m2+4(1-2)2c2+4(1-2)zo+2(1-2)(Pb-2Ps)mc.,3,(A-9623:©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.B)(A-B)=(-b+b2-4ac)/2a(8)a=42b=2mc+2(Pb-Ps);(9)b2-4ac=42(m2+4)2c+162mpbc(A-B)=d,,AB:(Pb+Ps)/2+(3-2)d/2APb+3d/2;(10)(Pb+Ps)/2+(1-2)d/2BPb+d/2.117,,=(A+B)-2(A-B)cos2(-)-Pw;z=-2(A-B)cos2(-)+zo;r=Pw;(11)z=2yzcos(-)-2zxsin(-);zr=r=0.(11),,zr,z,,6(11),rzr,ZMMM=(+z)/2-(-z)2/4+z2;(12)M=015tan-12z/(-z).(12)Mzz(11),MMPW,,,mT,mmm,,,,,,,6,,07222©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.(),,Bm,,A,(11)(12)M,ŒMŒ=0,A,m,m=-T,A,,A,A,118,,,,[7]2,,,,,,,[1],,,1993[2],,,1983[3],,,1991,10(3):246256[4],,,,1994:2637[5]C1Ljunggren,,,1991(2):2636[6],,,1995;12(2):3643[7],,,1995;18(1):80851723:©1995-2003TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.