含三维深埋裂纹脆性岩石水力压裂数值模拟研究
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摘要
为研究三维深埋裂纹水力压裂裂纹扩展规律,利用Franc3D软件模拟了裂纹扩展过程。结果表明,水力压裂裂纹扩展因子越大,裂纹扩展形态由原来的翼形包裹状裂纹扩展逐渐转变为自相似扩展;裂纹长轴端点的裂纹扩展速率要小于裂纹短轴端点;裂纹Ⅰ型、Ⅲ型应力强度因子在裂纹长轴端点达到最小,在短轴端点达到最大,而Ⅱ型应力强度因子则相反;水力压裂裂纹扩展因子越大,裂纹的3个应力强度因子的绝对值也越大。
In order to study the crack propagation law of hydraulic fracturing with three dimensional deep buried cracks,the crack propagation process is simulated by Franc3 D software. The results show that,( a) the larger the crack growth factor D is,the shape of crack propagation is gradually changed from original airfoil wrapped crack growth to self-similar growth;( b) the crack growth rate at the end of long axis is smaller than that at the end of short axis;( c) the stress intensity factor of Mode I and Mode III is smallest at the end of long axis and maximum at the end of short axis,but the stress intensity factor of Mode II is opposite; and( d) the larger the crack growth factor D is,the greater the absolute value of three stress intensity factors are.
In order to study the crack propagation law of hydraulic fracturing with three dimensional deep buried cracks,the crack propagation process is simulated by Franc3 D software. The results show that,( a) the larger the crack growth factor D is,the shape of crack propagation is gradually changed from original airfoil wrapped crack growth to self-similar growth;( b) the crack growth rate at the end of long axis is smaller than that at the end of short axis;( c) the stress intensity factor of Mode I and Mode III is smallest at the end of long axis and maximum at the end of short axis,but the stress intensity factor of Mode II is opposite; and( d) the larger the crack growth factor D is,the greater the absolute value of three stress intensity factors are.
引文
[1]冯彦军,康红普.受压脆性岩石Ⅰ-Ⅱ型复合裂纹水力压裂研究[J].煤炭学报,2013,38(2):226-232.
[2]GRIFFITH A A.The phenomena of rupture and flow in solids[J].Philosophical Transactions of the Royal Society of London,1921,221(2):163-198.
[3]GERMANOVICH L N,SALGANIK R L,DYSKIN A V,et al.Mechanisms of brittle fracture of rock with pre-existing cracks in compression[J].Pure and Applied Geophysics,1994,143(1-3):117-149.
[4]HOEK E,BIENIAWSKI Z T.Brittle fracture propagation in rock under compression[J].International Journal of Fracture Mechanics,1984,26(4):276-294.
[5]于庆磊,唐春安,杨天鸿,等.平台中心角对岩石抗拉强度测定影响的数值分析[J].岩土力学,2008,29(12):3251-3255.
[6]滕春凯,尹祥础,李世愚,等.非穿透裂纹平板试件三维破裂的试验研究[J].地球物理学报,1987,30(4):43-50.
[7]尹祥础,李世愚,李红,等.闭合裂纹面相互作用的试验研究[J].地球物理学报,1988,31(3):306-314.
[8]冯彦军,康红普.水力压裂起裂与扩展分析[J].岩石力学与工程学报,2013,32(Z2):3169-3179.
[9]侯冰,陈勉,李志猛,等.页岩储集层水力裂缝网络扩展规模评价方法[J].石油勘探与开发,2014,41(6):763-768.
[10]刘允芳.水压致裂法三维地应力测量[J].岩石力学与工程学报,1991,10(3):246-246.
[11]LEGARTH B,HUENGES E,ZIMMERMANN G.Hydraulic fracturing in a sedimentary geothermal reservoir:Results and implications[J].International Journal of Rock Mechanics and Mining Sciences,2005,42(7):1028-1041.
[12]WEEREN H O.Disposal of radioactive wastes by hydraulic fracturing Part III.Design of ORNL's shale-fracturing plant[J].Nuclear Engineering&Design,1966,4(1):108-117.
[13]KAYUPOV M A.Hydraulic pressure induced crack orientations in strained rock specimens[J].International Journal of Rock Mechanics and Mining Sciences,1998,35(4):434-435.
[14]徐世烺,王建敏.水压作用下大坝混凝土裂缝扩展与双K断裂参数[J].土木工程学报,2009,42(2):119-125.
[15]孙欣,朱哲明,谢凌志,等.基于SENDB试样的砂岩复合脆性断裂行为研究[J].岩石力学与工程学报,2017,36(12):2884-2894.
[16]付金伟,朱维申,张新中,等.内水压下含中空裂隙新型材料的压裂试验及数值模拟研究[J].工程科学与技术,2017,49(4):78-85.
[17]李明田,李术才,张敦福,等.类岩石材料表面裂纹复合型断裂准则探讨[J].岩石力学与工程学报,2011,30(S1):3326-3333.
[2]GRIFFITH A A.The phenomena of rupture and flow in solids[J].Philosophical Transactions of the Royal Society of London,1921,221(2):163-198.
[3]GERMANOVICH L N,SALGANIK R L,DYSKIN A V,et al.Mechanisms of brittle fracture of rock with pre-existing cracks in compression[J].Pure and Applied Geophysics,1994,143(1-3):117-149.
[4]HOEK E,BIENIAWSKI Z T.Brittle fracture propagation in rock under compression[J].International Journal of Fracture Mechanics,1984,26(4):276-294.
[5]于庆磊,唐春安,杨天鸿,等.平台中心角对岩石抗拉强度测定影响的数值分析[J].岩土力学,2008,29(12):3251-3255.
[6]滕春凯,尹祥础,李世愚,等.非穿透裂纹平板试件三维破裂的试验研究[J].地球物理学报,1987,30(4):43-50.
[7]尹祥础,李世愚,李红,等.闭合裂纹面相互作用的试验研究[J].地球物理学报,1988,31(3):306-314.
[8]冯彦军,康红普.水力压裂起裂与扩展分析[J].岩石力学与工程学报,2013,32(Z2):3169-3179.
[9]侯冰,陈勉,李志猛,等.页岩储集层水力裂缝网络扩展规模评价方法[J].石油勘探与开发,2014,41(6):763-768.
[10]刘允芳.水压致裂法三维地应力测量[J].岩石力学与工程学报,1991,10(3):246-246.
[11]LEGARTH B,HUENGES E,ZIMMERMANN G.Hydraulic fracturing in a sedimentary geothermal reservoir:Results and implications[J].International Journal of Rock Mechanics and Mining Sciences,2005,42(7):1028-1041.
[12]WEEREN H O.Disposal of radioactive wastes by hydraulic fracturing Part III.Design of ORNL's shale-fracturing plant[J].Nuclear Engineering&Design,1966,4(1):108-117.
[13]KAYUPOV M A.Hydraulic pressure induced crack orientations in strained rock specimens[J].International Journal of Rock Mechanics and Mining Sciences,1998,35(4):434-435.
[14]徐世烺,王建敏.水压作用下大坝混凝土裂缝扩展与双K断裂参数[J].土木工程学报,2009,42(2):119-125.
[15]孙欣,朱哲明,谢凌志,等.基于SENDB试样的砂岩复合脆性断裂行为研究[J].岩石力学与工程学报,2017,36(12):2884-2894.
[16]付金伟,朱维申,张新中,等.内水压下含中空裂隙新型材料的压裂试验及数值模拟研究[J].工程科学与技术,2017,49(4):78-85.
[17]李明田,李术才,张敦福,等.类岩石材料表面裂纹复合型断裂准则探讨[J].岩石力学与工程学报,2011,30(S1):3326-3333.