(1. Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;2. School of Water and Environment,Zhengzhou University,Zhengzhou,Henan 450001,China;3. Faculty of Earth Resources,China University of Geosciences,Wuhan,Hubei 430074,China)
Abstract:The length of casing well completion structures that composed of casing,concrete ring and surrounding rocks are much larger than their outer diameters,so the problem of dynamic response of casing well completion structures caused by incident plane SH wave can be simplified as 2D plane problems. The casing,concrete ring and surrounding rocks are all considered as homogeneous isotropic elastic bodies. The wave function expansion method and conformal mapping method of complex function are adopted. The theoretical solutions about the complex coefficients of the scattering and refracting SH waves are obtained based on the boundary conditions that the inner side of the casing is free and the casing,concrete ring and surrounding rocks are tied completely. The casing well structures of 102 well in a gas field is taken as an example. The dynamic stresses of the casing caused by earthquake SH waves are calculated. The maximum stress is larger than the yield stress. Therefore the earthquake is the direct reason that causes the casing deformation in this gas field. In the end,the dynamic stress concentration factor is introduced,and the influences of surrounding rocks and concrete ring on the dynamic stress concentration factor are analyzed. Some important conclusions are obtained,which include:(1) reduction the strength of the concrete ring would reduce its dynamic stress concentration factor;(2) the stiffer the surrounding rocks are,the lower the dynamic stress concentration factor in concrete ring would be;(3) dynamic stress concentration factor of surrounding rocks is less influenced by the thickness of surrounding rocks and modulus of concrete ring.
[1] 伍开松,罗进军,张庆生,等. 地震作用下岩盐层套变规律研究[J]. 岩土力学,2009,30(增):231–234.(WU Kaisong,LUO Jinjun,ZHANG Qingsheng,et al. Study of casing deformation in halite bed under earthquake[J]. Rock and Soil Mechanics,2009,30(Supp.):231–234.(in Chinese))
[2] 殷有泉,陈朝伟,李平恩. 套管–水泥环–地层应力分布的理论解[J]. 力学学报,2006,38(6):835–842.(YIN Youquan,CHEN Zhaowei,LI Ping?en. Theoretical solutions of stress distribution in casing-cement and stratum system[J]. Chinese Journal of Theoretical and Applied Mechanics,2006,38(6):835–842.(in Chinese))
[3] 李 军,陈 勉,柳贡慧,等. 套管、水泥环及井壁围岩组合体的弹塑性分析[J]. 石油学报,2005,26(6):99–103.(LI Jun,CHEN Mian,LIU Gonghui,et al. Elastoplastic analysis of casing-concrete sheath-rock combination[J]. Acta Petrolei Sinica,2005,26(6):99–103.(in Chinese))
[4] 白 冰,李小春,刘延锋,等. CO2 驱煤层气中煤层膨胀对套管稳定性的影响[J]. 岩土力学,2006,27(7):1 043–1 048.(BAI Bing,LI Xiaochun,LIU Yanfeng,et al. Influence of CO2-induced swelling on casing stability in CO2-ECBM[J]. Rock and Soil Mechanics,2006,27(7):1 043–1 048.(in Chinese))
[5] 王力军,于永南,李 健,等. 非均匀地应力下蠕变地层套管的载荷分布[J]. 中国石油大学学报:自然科学版,2008,32(1):86–89. (WANG Lijun,YU Yongnan,LI Jian,et al. Casing loads distribution with non-uniform geostresses in creep stratum[J]. Journal of China University of Petroleum,2008,32(1):86–89.(in Chinese))
[6] XU P,XIA T D,HAN T C. Scattering of elastic wave by a cylindrical shell deeply embedded in saturated soils[J]. Acta Seismologica Sinica,2006,19(2):191–198.
[7] PAO Y H,MOW C C. Diffraction of elastic waves and dynamic stress concentrations[M]. New York:Crane,Russak and Company Inc.,1973:111–140.
[8] LIU D K,GAI B Z,TAO G Y. Applications of the method of complex function to dynamic stress concentration[J]. Wave Motion,1982,(4):293–304.
[9] 徐芝纶. 弹性力学(上册)[M]. 北京:人民教育出版社,1982:115–155.(XU Zhilun. Elastity mechanics(Vol.1)[M]. Beijing:People?s Education Press,1982:115–155.(in Chinese))
[10] 陈志刚,刘殿魁. 椭圆孔对SH波散射的远场解[J]. 哈尔滨工程大学学报,2003,24(3):335–338.(CHEN Zhigang,LIU Diankui. Far field solution of SH-wave scattering by elliptic cavity[J]. Journal of Harbin Engineering University,2003,24(3):335–338.(in Chinese))
[11] 徐 平. 多排弹性空心管桩屏障对平面SV波的隔离[J]. 岩土工程学报,2011,33(3):392–397.(XU Ping. Isolation of incident plane SV waves by discontinuous barriers composed of several rows of elastic hollow pipe piles[J]. Chinese Journal of Geotechnical Engineering,2011,33(3):392–397.(in Chinese))