破裂准则方程在深层岩石力学强度响应中的应用
摘要
本文探讨了5种常用线性及非线性破裂准则方程在深层砂岩、页岩及硬石膏泥岩中的力学强度响应变化过程及预测精度.根据σ1-σ3变化样式将其划分为:连续上凸型、连续上凹型及离散型3种类型,类型划分与岩石内部颗粒分布状态、接触形式、脆度及蠕变性有关,与组分含量无关.同时采用AAE、RMSE及COV等指标对各准则条件下岩石C0及σ1预测精度进行了对比,结果表明:AAE、RMSE及R2之间有时会因出现较大的MAE值而发生不对应;COV能将精度放大;岩石C0预测效果与σ1-σ3变化样式具有较好对应关系;对于σ1的预测,当σ1-σ3为连续上凸样式时,一般Sheory、Bieniawski及H-B准则预测效果较好;当为连续上凹样式时,Sheory准则预测效果最好;当为离散样式时,较高的精度可能来源于线性准则或非线性准则.对于C0的预测,非线性Sheory、Bieniawski及H-B准则预测效果较好.最后对σ1离散值进行了定义,按文中方法去除离散值后能显著提高预测效果.
This paper discusses the mechanical strengthen response changing process and its predictive precision of five kinds of common linear and nonlinear failure criterion equations in deep sandstones,shales and anhydrite mudstones.Based on the changing patterns ofσ1-σ3,there are three types are divided:continuous upwarp continuous downwarp and discrete types,and the type division is associated with the distributing states,contacting patterns,brittleness and creep properties of the grains in the rocks,nothing to do with constituent content.Meanwhile,adopt the indexes of AAE,RMSE and COV to compare the predictive precision of C0andσ1of the rock under each criterion.It shows that there may be relatively large MAE value among AAE, RMSE and R2,resulting in noncorrespondence;COV can enlarge the precision;the predictive effect of the C0 of the rock has good corresponding relation with the changing patterns ofσ1-σ3.For the prediction ofσ1,differentσ1-σ3 type correspond different precision while selecting different criterion equtions.For the prediction of C0,nonlinear Sheory、Bieniawski and H-B criteria have good predictive effect.At last we define the discrete values in mechanical data,it shows that this method can significantly enhance the predictive effect after removing the discrete values.
This paper discusses the mechanical strengthen response changing process and its predictive precision of five kinds of common linear and nonlinear failure criterion equations in deep sandstones,shales and anhydrite mudstones.Based on the changing patterns ofσ1-σ3,there are three types are divided:continuous upwarp continuous downwarp and discrete types,and the type division is associated with the distributing states,contacting patterns,brittleness and creep properties of the grains in the rocks,nothing to do with constituent content.Meanwhile,adopt the indexes of AAE,RMSE and COV to compare the predictive precision of C0andσ1of the rock under each criterion.It shows that there may be relatively large MAE value among AAE, RMSE and R2,resulting in noncorrespondence;COV can enlarge the precision;the predictive effect of the C0 of the rock has good corresponding relation with the changing patterns ofσ1-σ3.For the prediction ofσ1,differentσ1-σ3 type correspond different precision while selecting different criterion equtions.For the prediction of C0,nonlinear Sheory、Bieniawski and H-B criteria have good predictive effect.At last we define the discrete values in mechanical data,it shows that this method can significantly enhance the predictive effect after removing the discrete values.
引文
Al-Ajmi M A,Zimmerman W R.2005.Relation between the Mogi and the Coulomb failure criteria[J].International Journal of Rock Mechanics and Mining Sciences,42(3):431-439.
Anderson O L,Grew P C.1977.Stress corrosion theory of crack propagation with applications to geophysics[J].Reviews of Geophysics,15(1):77-104.
Bobko C P,Gathier B,Alberto Ortega J,et al.2011.The nanogranular origin of friction and cohesion in shale-A strength homogenization approach to interpretation of nanoindentation results[J].Int.J.Numer.Anal.Meth.Geomech.,35(17):1854-1876.
Colmenares L B,Zoback M D.2002.A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks[J].International Journal of Rock Mechanics and Mining Sciences,39(6):695-729.
Diao H Y.2013.Rock mechanical properties and brittleness evaluation of shale reservoir[J].Acta Petrologica Sinica(in Chinese),29(9):3300-3306.
Erarslan N,Williams D J.2012.Mechanism of rock fatigue damage in terms of fracturing modes[J].International Journal of Fatigue,43:76-89.
Gardner G H F,Gardner L W,Gregory A R.1974.Formation velocity and density;the diagnostic basics for stratigraphic traps[J].Geophysics,39(6):770-778.
Hoek E,Marinos P G,Marinos V P.2005.Characterisation and engineering properties of tectonically undisturbed but lithologically varied sedimentary rock masses[J].International Journal of Rock Mechanics and Mining Sciences,42(2):277-285.
Jiang D Y,Ren T,Chen J,et al.2012.Experimental study of mechanical characteristics of molded salt rock with weak interlayer[J].Chinese Journal of Rock Mechanics and Engineering(in Chinese),31(9):1797-1803.
Liu G D.2002.Review and prospect-21st century solid geophysics[J].Progress in Geophysics(in Chinese),17(2):191-197.
Nejati H R,Ghazvinian A.2013.Brittleness effect on rock fatigue damage evolution[J].Rock Mech.Rock Eng.,24(47):1839-1848.
Peng J B,Chen L W,Huang Q B,et al.2008.Large-scale physical simulative experiment on ground-fissure expansion mechanism[J].Chinese Journal of Geophysics(in Chinese),51(6):1826-1834.
Rousseeuw P J.1998.Robust estimation and identifying outliers[A].//Wadsworth H M,ed.Handbook of statistical methods for engineers and scientists[M].New York:McGraw-Hill,238-243.
Teng J W,Wang F Y,Zhao W Z,et al.2008.Velocity distribution of upper crust,undulation of sedimentary formation and crystalline basement beneath the Ordos basin in North China[J].Chinese Journal of Geophysics(in Chinese),51(6):1753-1764.
Teng J W,Liu Y S.2013.Analysis of distribution,storage potential and prospect for shale oil and gas in China[J]Progress in Geophysics(in Chinese),28(3):1083-1104,doi10 .6038/pg20130301.
Wang H C,Zhao W H,Sun D S,et al.2012.Mohr-Coulomb yield criterion in rock plastic mechanics[J].Chinese Journal of Geophysics(in Chinese),55(12):4231-4237,doi:10.6038/j.issn.0001-5733.2012.12.034.
Wei Y J,Anand L.2008.On micro-cracking,inelastic dilatancy,and the brittle-ductile transition in compact rocks:A micromechanical study[J].International Journal of Solids and Structures,45(10):2785-2798.
Wu Z Q,Yan G J,Tong S Y,et al.2013.New advances in marine seismic data acquisition technology and enlightenment to domestic offshore petroleum seismic exploration[J].Progress in Geophysics(in Chinese),28(6):3056-3065,doi:106038/pg20130629.
Yu W J,Gao Q,Jin X Q,et al.2013.Field investigation and mechanics characteristics analysis of deep rock mass affected by fault structure[J].Progress in Geophysics(in Chinese),28(1):488-497,doi:10.6038/pg20130156.
Zhang K.2012.Strategic replacement situation and outlook of China oil-gas production area[J].Petroleum Exploration and Development(in Chinese),39(5):513-521.
刁海燕.2013.泥页岩储层岩石力学特性及脆性评价[J].岩石学报,29(9):3300-3306.
姜德义,任涛,陈结,等.2012.含软弱夹层盐岩型盐力学特性试验研究[J].岩石力学与工程学报,31(9):1797-1803.
刘光鼎.2002.回顾与展望-21世纪的固体地球物理[J].地球物理学进展,17(2):191-197.
彭建兵,陈立伟,黄强兵,等.2008.地裂缝破裂扩展的大型物理模拟试验研究[J].地球物理学报,51(6):1826-1834.
滕吉文,王夫运,赵文智,等.2008.鄂尔多斯盆地上地壳速度分布与沉积建造和结晶基底起伏的构造研究[J].地球物理学报,51(6):1753-1764.
滕吉文,刘有山.2013.中国油气页岩分布与存储潜能和前景分析[J].地球物理学进展,28(3):1083-1104,doi:10.6038/pg20130301.
王红才,赵卫华,孙东生,等.2012.岩石塑性变形条件下的MohrCoulomb屈服准则[J].地球物理学报,55(12):4231-4237,doi:10.6038/j.issn.0001-5733.2012.12.034.
吴志强,闫桂京,童思友,等.2013.海洋地震采集技术新进展及对我国海洋油气地震勘探的启示[J].地球物理学进展,28(6):3056-3065,doi:10.6038/pg20130629.
余伟健,高谦,靳学奇,等.2013.受断层构造影响的深部岩体现场调查及力学特征分析[J].地球物理学进展,28(1):488-497,doi:10.6038/pg20130156.
张抗.2012.中国油气产区战略接替形势与展望[J].石油勘探与开发,39(5):513-521.
Anderson O L,Grew P C.1977.Stress corrosion theory of crack propagation with applications to geophysics[J].Reviews of Geophysics,15(1):77-104.
Bobko C P,Gathier B,Alberto Ortega J,et al.2011.The nanogranular origin of friction and cohesion in shale-A strength homogenization approach to interpretation of nanoindentation results[J].Int.J.Numer.Anal.Meth.Geomech.,35(17):1854-1876.
Colmenares L B,Zoback M D.2002.A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks[J].International Journal of Rock Mechanics and Mining Sciences,39(6):695-729.
Diao H Y.2013.Rock mechanical properties and brittleness evaluation of shale reservoir[J].Acta Petrologica Sinica(in Chinese),29(9):3300-3306.
Erarslan N,Williams D J.2012.Mechanism of rock fatigue damage in terms of fracturing modes[J].International Journal of Fatigue,43:76-89.
Gardner G H F,Gardner L W,Gregory A R.1974.Formation velocity and density;the diagnostic basics for stratigraphic traps[J].Geophysics,39(6):770-778.
Hoek E,Marinos P G,Marinos V P.2005.Characterisation and engineering properties of tectonically undisturbed but lithologically varied sedimentary rock masses[J].International Journal of Rock Mechanics and Mining Sciences,42(2):277-285.
Jiang D Y,Ren T,Chen J,et al.2012.Experimental study of mechanical characteristics of molded salt rock with weak interlayer[J].Chinese Journal of Rock Mechanics and Engineering(in Chinese),31(9):1797-1803.
Liu G D.2002.Review and prospect-21st century solid geophysics[J].Progress in Geophysics(in Chinese),17(2):191-197.
Nejati H R,Ghazvinian A.2013.Brittleness effect on rock fatigue damage evolution[J].Rock Mech.Rock Eng.,24(47):1839-1848.
Peng J B,Chen L W,Huang Q B,et al.2008.Large-scale physical simulative experiment on ground-fissure expansion mechanism[J].Chinese Journal of Geophysics(in Chinese),51(6):1826-1834.
Rousseeuw P J.1998.Robust estimation and identifying outliers[A].//Wadsworth H M,ed.Handbook of statistical methods for engineers and scientists[M].New York:McGraw-Hill,238-243.
Teng J W,Wang F Y,Zhao W Z,et al.2008.Velocity distribution of upper crust,undulation of sedimentary formation and crystalline basement beneath the Ordos basin in North China[J].Chinese Journal of Geophysics(in Chinese),51(6):1753-1764.
Teng J W,Liu Y S.2013.Analysis of distribution,storage potential and prospect for shale oil and gas in China[J]Progress in Geophysics(in Chinese),28(3):1083-1104,doi10 .6038/pg20130301.
Wang H C,Zhao W H,Sun D S,et al.2012.Mohr-Coulomb yield criterion in rock plastic mechanics[J].Chinese Journal of Geophysics(in Chinese),55(12):4231-4237,doi:10.6038/j.issn.0001-5733.2012.12.034.
Wei Y J,Anand L.2008.On micro-cracking,inelastic dilatancy,and the brittle-ductile transition in compact rocks:A micromechanical study[J].International Journal of Solids and Structures,45(10):2785-2798.
Wu Z Q,Yan G J,Tong S Y,et al.2013.New advances in marine seismic data acquisition technology and enlightenment to domestic offshore petroleum seismic exploration[J].Progress in Geophysics(in Chinese),28(6):3056-3065,doi:106038/pg20130629.
Yu W J,Gao Q,Jin X Q,et al.2013.Field investigation and mechanics characteristics analysis of deep rock mass affected by fault structure[J].Progress in Geophysics(in Chinese),28(1):488-497,doi:10.6038/pg20130156.
Zhang K.2012.Strategic replacement situation and outlook of China oil-gas production area[J].Petroleum Exploration and Development(in Chinese),39(5):513-521.
刁海燕.2013.泥页岩储层岩石力学特性及脆性评价[J].岩石学报,29(9):3300-3306.
姜德义,任涛,陈结,等.2012.含软弱夹层盐岩型盐力学特性试验研究[J].岩石力学与工程学报,31(9):1797-1803.
刘光鼎.2002.回顾与展望-21世纪的固体地球物理[J].地球物理学进展,17(2):191-197.
彭建兵,陈立伟,黄强兵,等.2008.地裂缝破裂扩展的大型物理模拟试验研究[J].地球物理学报,51(6):1826-1834.
滕吉文,王夫运,赵文智,等.2008.鄂尔多斯盆地上地壳速度分布与沉积建造和结晶基底起伏的构造研究[J].地球物理学报,51(6):1753-1764.
滕吉文,刘有山.2013.中国油气页岩分布与存储潜能和前景分析[J].地球物理学进展,28(3):1083-1104,doi:10.6038/pg20130301.
王红才,赵卫华,孙东生,等.2012.岩石塑性变形条件下的MohrCoulomb屈服准则[J].地球物理学报,55(12):4231-4237,doi:10.6038/j.issn.0001-5733.2012.12.034.
吴志强,闫桂京,童思友,等.2013.海洋地震采集技术新进展及对我国海洋油气地震勘探的启示[J].地球物理学进展,28(6):3056-3065,doi:10.6038/pg20130629.
余伟健,高谦,靳学奇,等.2013.受断层构造影响的深部岩体现场调查及力学特征分析[J].地球物理学进展,28(1):488-497,doi:10.6038/pg20130156.
张抗.2012.中国油气产区战略接替形势与展望[J].石油勘探与开发,39(5):513-521.
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