张晋军^1,2, 谭蔚¹, 牛卫飞^1,2, 王泽军²
AuthorsHTML:张晋军^1,2, 谭蔚¹, 牛卫飞^1,2, 王泽军²
AuthorsListE:Zhang Jinjun^1,2, Tan Wei¹, Niu Weifei^1,2, Wang Zejun²
AuthorsHTMLE:Zhang Jinjun^1,2, Tan Wei¹, Niu Weifei^1,2, Wang Zejun²
Unit:1. 天津大学化工学院，天津 300072；2. 天津市特种设备监督检验技术研究院，天津 300192
Unit_EngLish:1．School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China
2．Tianjin Special Equipment Inspection Institute, Tianjin 300192, China
Abstract_Chinese:利用基于叠加原理的Schwartz交替迭代法对储气井组之间的相互作用进行了细致分析, 并将储气井孔边周向应力集中系数理论分析结果与有限元数值计算的结果进行了对比．用解析公式描述了第1次和第2次迭代过程, 详细分析了得到的周向应力公式中的每一项, 讨论了方法的收敛性．结果表明：利用Schwartz交替迭代法得到的结果与有限元结果吻合, 得到的计算公式正确; 储气井组之间的相互作用大致与储气井组之间的相对距离的平方成反比; 对于由两口储气井组成的储气井而言, 最大周向应力发生的位置位于储气井与两储气井中心连线的交点处, 且得到了相邻储气井对井边缘周向应力集中系数影响的结果; Schwartz交替迭代法以相对距离的平方收敛．
Abstract_English:The interaction between storage wells was studied in detail by applying the Schwartz alternating method based on superposition principle，and the stress concentration factors of hoop stress near the well were compared with those obtained by the finite element method(FEM). The analytical formulas of the first and the second iterations were deduced by hand and every component of hoop stress was analyzed carefully. The convergence of alternating method was studied as well. The results indicate that the Schwartz alternating results are identical with FEM solutions，therefore the formulas deduced in this paper are correct; the interaction between storage wells is reciprocal with the square of the relative distance. For the case of two wells，the maximum hoop stress occurs at the point of intersection between the well edges and the connection line of two centers，and the hoop stress concentration factors affected by the adjacent wells are obtained in this paper. The Schwartz alternating method converges with the rate of square of the relative distance.
Keyword_Chinese:压缩天然气; 储气井组; 叠加原理; 弹性力学; 应力集中系数; 有限元方法
Keywords_English:compressed natural gas; storage well groups; superposition principle; elastic mechanics; stress concentration factors; finite element method

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