水平应力作用下套管井不同胶结状况导波的声弹效应
|
摘要
油田的套管完井常伴有异常地应力的作用,对于套管井,井孔-套管-水泥环-地层组合的系统使井周的应力集中更为复杂.为认识地应力作用下不同胶结状态的套管井导波声弹效应,本文基于非线性声学理论,实现了受应力作用不同胶结状态套管井井周应力和径向横波速度计算与分析;采用摄动求解推导了套管井导波的声弹性方程,模拟并分析由应力引起不同胶结状态套管井斯通利波、伪瑞利波、弯曲波相速度的变化.研究结果表明:不同胶结状态会改变井周的应力分布,当界面出现滑移时井周地层中的应力集中有所增强,从而影响导波的声弹效应.本文的研究结果为地应力作用的套管井的声场特性提供认识和理论依据.
The stress concentration appears more complex for casing-cement-formation system with the abnormal stresses.We studied and analyzed the acoustoelastic effects of guided waves in a cased-hole under the horizontal stress with different bonding condition on the basis of the nonlinear acoustics.First,the velocity dispersions formulas are given with different bonding condition based on perturbation solution.Then,we accomplished the calculation and analysis of the stresses and radial shear velocities around the cased hole under horizontal stress;Finally,we simulated and analyzed the changes of guided wave velocities(Stoneley waves,pseudo-Rayleigh waves and flexural waves)due to applied stresses.The results show the characteristics of guided waves are affected by both horizontal stress and bonding condition.
The stress concentration appears more complex for casing-cement-formation system with the abnormal stresses.We studied and analyzed the acoustoelastic effects of guided waves in a cased-hole under the horizontal stress with different bonding condition on the basis of the nonlinear acoustics.First,the velocity dispersions formulas are given with different bonding condition based on perturbation solution.Then,we accomplished the calculation and analysis of the stresses and radial shear velocities around the cased hole under horizontal stress;Finally,we simulated and analyzed the changes of guided wave velocities(Stoneley waves,pseudo-Rayleigh waves and flexural waves)due to applied stresses.The results show the characteristics of guided waves are affected by both horizontal stress and bonding condition.
引文
Cao Z L,Wang K X,Li G,et al.2003.Dipole flexural waves splitting induced by borehole pressurization and formation stress concentration.Chinese Journal of Geophysics(in Chinese),46(5):712-718.
Cao Z L,Wang K X,Ma Z T.2004.Acoustoelastic effects on guided waves in a fluid-filled pressurized borehole in a prestressed formation.Journal of the Acoustical Society of America,116(3):1406-1415.
Chen H.2007.Borehole acoustic wavefields in pre-stressed formation and its application[Ph.D.thesis](in Chinese).Beijing:Institute of Acoustics,Chinese Academy of Sciences.
Fang J,Zhao H W,Yue B Q,et al.1995.Analysis of loading property of casing and cement sheath under nonuniform geologic stress.Journal of Petroleum University(Natural Science Edition)(in Chinese),19(6):52-57.
Lei T,Sinha B K,Sanders M.2012.Estimation of horizontal stress magnitudes and stress coefficients of velocities using borehole sonic data.Geophysics,77(3):WA 181-WA 196,doi:10.1190/geo2011-0277.1.
Li G.2005.Acoustoelastic theory of guide waves in a cased hole and inversion of formation stress by cross-dipole acoustic logging[Ph.D.thesis](in Chinese).Changchun:Jilin University.
Li G,Wang K X,Liu J X,et al.2006.Acoustoelasticity theory,numerical analysis and practical example of the cased hole with stress concentration by cross-dipole acoustic logging.Chinese Journal of Geophysics(in Chinese),49(1):295-304.
Li Z L,Du G S,Wang Y J.2001.The effects of bonding conditions on the propagation of acoustic wave along a cased borehole.Acta Acustica(in Chinese),26(1):6-12.
Liu J X,Wang K X,Cao Z L,et al.2005.The effects of stress concentrations of cased hole on induced azimuthal anisotropy velocity distribution.Chinese Journal of Geophysics(in Chinese),48(3):717-723.
Liu J X,Cui Z W,Li G,et al.2012.Acoustoelastic effects on flexural waves in a borehole surrounded by a transversely isotropic(VTI)elastic solid.Chinese Journal of Geophysics(in Chinese),55(10):3485-3492,doi:10.6038/j.issn.0001-5733.2012.10.032.
Liu J X,Cui Z W,Cao Z L,et al.2014.Acoustoelastic effects of Stoneley waves in a borehole surrounded by a transversely isotropic elastic solid.AIP Advance,4(11):117136,doi:10.1063/1.4902896.
Liu Q H,Sinha B K.2003.A 3Dcylindrical PML/FDTD method for elastic waves in fluid-filled pressurized boreholes in triaxially stressed formations.Geophysics,68(5):1731-1743.
Pao Y H,Sachse W,Fukuoka H.1984.Acoustoelasticity and ultrasonic measurements of residual stresses.∥Mason W P,Thurston R N eds.Physics Acoustics.New York:Academic Press,17:61-143.
Sinha B K,Kostek S.1996.Stress-induced azimuthal anisotropy in borehole flexural waves.Geophysics,61(6):1899-1907.
Sinha B K.1997.Inversion of borehole dispersions for formation stresses.∥1997IEEE Ultrasonics Symposium Proceedings.Toronto,Ont.,Canada:IEEE,781-786.
Tao G,Cheng C H,Toks9z M N.1999.Measurements of shearwave azimuthal anisotropy with cross-dipole logs.Chinese Journal of Geophysics(in Chinese),42(2):277-286.
Toupin R A,Bernstein B.1961.Sound waves in deformed perfectly elastic materials.Acoustoelastic effect.The Journal of the Acoustical Society of America,33:216-225.
Wang T L,Tang X M.2005.Multipole acoustic responses of a prestressed formation:An effective medium approach.Geophysics,70(2):F35-F44.
Wu F P,Pu C S,Wang X Z,et al.2008.Study of stress distribution and influence factors of cased wells in non-uniform in situ stress field.Journal of Oil and Gas Technology(in Chinese),30(4):114-118.
曹正良,王克协.李刚等.2003.井孔压力与地层应力集中诱导的偶极弯曲波的分裂.地球物理学报,46(2):712-718.
陈浩.2007.预应力地层井孔声场研究及其应用[博士论文].北京:中国科学院声学研究所.
方军,赵怀文,岳伯谦.1995.非均匀地应力作用下套管与水泥环的受力分析.石油大学学报(自然科学版),19(6):52-57.
李刚.2005.套管井正交偶极声测井异常地应力正、反演研究[博士论文].长春:吉林大学.
李刚,王克协,刘金霞等.2006.套管井应力集中下正交偶极声测井的声弹理论、数值分析与实例.地球物理学报,49(1):295-304.
李整林,杜光升,王耀俊.2001.套管井体胶结状态对井孔中声传播的影响.声学学报,26(1):6-12.
刘金霞,王克协,曹正良等.2005.套管井应力集中诱导井周波速各向异性的研究.地球物理学报,48(3):717-723.
刘金霞,崔志文,李刚等.2012.横向各向同性地层(VTI)井孔声弹效应对弯曲波的影响.地球物理学报,55(10):3485-3492,doi:10.6038/j.issn.0001-5733.2012.10.032.
陶果,Cheng C H,Toks9z M N.1999.应用正交偶极子测井资料测量EDA地层的横波各向异性.地球物理学报,42(2):277-286.
吴飞鹏,蒲春生,王湘增等.2008.非均匀地应力场中套管井井周应力分布及影响因素研究.石油天然气学报,30(4):114-118.
Cao Z L,Wang K X,Ma Z T.2004.Acoustoelastic effects on guided waves in a fluid-filled pressurized borehole in a prestressed formation.Journal of the Acoustical Society of America,116(3):1406-1415.
Chen H.2007.Borehole acoustic wavefields in pre-stressed formation and its application[Ph.D.thesis](in Chinese).Beijing:Institute of Acoustics,Chinese Academy of Sciences.
Fang J,Zhao H W,Yue B Q,et al.1995.Analysis of loading property of casing and cement sheath under nonuniform geologic stress.Journal of Petroleum University(Natural Science Edition)(in Chinese),19(6):52-57.
Lei T,Sinha B K,Sanders M.2012.Estimation of horizontal stress magnitudes and stress coefficients of velocities using borehole sonic data.Geophysics,77(3):WA 181-WA 196,doi:10.1190/geo2011-0277.1.
Li G.2005.Acoustoelastic theory of guide waves in a cased hole and inversion of formation stress by cross-dipole acoustic logging[Ph.D.thesis](in Chinese).Changchun:Jilin University.
Li G,Wang K X,Liu J X,et al.2006.Acoustoelasticity theory,numerical analysis and practical example of the cased hole with stress concentration by cross-dipole acoustic logging.Chinese Journal of Geophysics(in Chinese),49(1):295-304.
Li Z L,Du G S,Wang Y J.2001.The effects of bonding conditions on the propagation of acoustic wave along a cased borehole.Acta Acustica(in Chinese),26(1):6-12.
Liu J X,Wang K X,Cao Z L,et al.2005.The effects of stress concentrations of cased hole on induced azimuthal anisotropy velocity distribution.Chinese Journal of Geophysics(in Chinese),48(3):717-723.
Liu J X,Cui Z W,Li G,et al.2012.Acoustoelastic effects on flexural waves in a borehole surrounded by a transversely isotropic(VTI)elastic solid.Chinese Journal of Geophysics(in Chinese),55(10):3485-3492,doi:10.6038/j.issn.0001-5733.2012.10.032.
Liu J X,Cui Z W,Cao Z L,et al.2014.Acoustoelastic effects of Stoneley waves in a borehole surrounded by a transversely isotropic elastic solid.AIP Advance,4(11):117136,doi:10.1063/1.4902896.
Liu Q H,Sinha B K.2003.A 3Dcylindrical PML/FDTD method for elastic waves in fluid-filled pressurized boreholes in triaxially stressed formations.Geophysics,68(5):1731-1743.
Pao Y H,Sachse W,Fukuoka H.1984.Acoustoelasticity and ultrasonic measurements of residual stresses.∥Mason W P,Thurston R N eds.Physics Acoustics.New York:Academic Press,17:61-143.
Sinha B K,Kostek S.1996.Stress-induced azimuthal anisotropy in borehole flexural waves.Geophysics,61(6):1899-1907.
Sinha B K.1997.Inversion of borehole dispersions for formation stresses.∥1997IEEE Ultrasonics Symposium Proceedings.Toronto,Ont.,Canada:IEEE,781-786.
Tao G,Cheng C H,Toks9z M N.1999.Measurements of shearwave azimuthal anisotropy with cross-dipole logs.Chinese Journal of Geophysics(in Chinese),42(2):277-286.
Toupin R A,Bernstein B.1961.Sound waves in deformed perfectly elastic materials.Acoustoelastic effect.The Journal of the Acoustical Society of America,33:216-225.
Wang T L,Tang X M.2005.Multipole acoustic responses of a prestressed formation:An effective medium approach.Geophysics,70(2):F35-F44.
Wu F P,Pu C S,Wang X Z,et al.2008.Study of stress distribution and influence factors of cased wells in non-uniform in situ stress field.Journal of Oil and Gas Technology(in Chinese),30(4):114-118.
曹正良,王克协.李刚等.2003.井孔压力与地层应力集中诱导的偶极弯曲波的分裂.地球物理学报,46(2):712-718.
陈浩.2007.预应力地层井孔声场研究及其应用[博士论文].北京:中国科学院声学研究所.
方军,赵怀文,岳伯谦.1995.非均匀地应力作用下套管与水泥环的受力分析.石油大学学报(自然科学版),19(6):52-57.
李刚.2005.套管井正交偶极声测井异常地应力正、反演研究[博士论文].长春:吉林大学.
李刚,王克协,刘金霞等.2006.套管井应力集中下正交偶极声测井的声弹理论、数值分析与实例.地球物理学报,49(1):295-304.
李整林,杜光升,王耀俊.2001.套管井体胶结状态对井孔中声传播的影响.声学学报,26(1):6-12.
刘金霞,王克协,曹正良等.2005.套管井应力集中诱导井周波速各向异性的研究.地球物理学报,48(3):717-723.
刘金霞,崔志文,李刚等.2012.横向各向同性地层(VTI)井孔声弹效应对弯曲波的影响.地球物理学报,55(10):3485-3492,doi:10.6038/j.issn.0001-5733.2012.10.032.
陶果,Cheng C H,Toks9z M N.1999.应用正交偶极子测井资料测量EDA地层的横波各向异性.地球物理学报,42(2):277-286.
吴飞鹏,蒲春生,王湘增等.2008.非均匀地应力场中套管井井周应力分布及影响因素研究.石油天然气学报,30(4):114-118.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |