基于等效塑性应变的岩土破坏准则和岩土弹塑性本构关系，考虑扩孔器在施工过程中与岩土的接触碰撞问题，采用有限单元法建立扩孔器与岩土相互作用系统非线性动力学模型，对水平定向钻穿越扩孔施工过程进行数值模拟，研究了扩孔器的动态变化规律及其对扩孔形状的影响。结果表明，在扩孔过程中，扩孔器会产生沉降，沉降量与钻进速度和扩孔时间有关，钻进速度越大扩孔器沉降量越大，扩孔时间越长扩孔器沉降量越大；同时，扩孔器在竖直方向会产生振动，振动速度的变化范围为-380~320 mm/s。受扩孔器沉降等因素的影响，模拟得到的扩孔截面形状为上窄下宽的长圆形，与工程实例的扩孔形状吻合。
Based on the geotechnical failure criteria of the equivalent plastic strain and the geotechnical elastic-plastic constitutive relation, the random collision under gravity and the geotechnical interaction are considered to establish a nonlinear dynamics model of the interaction between the reamer and the geotechnical body, which is used in the finite element method. The horizontal directional drilling construction process is simulated when the reamer operates. The reamer produces a settlement in its operation, the settlement of the reamer increases with the construction time, the speed in the vertical direction changes in a range of -380~320 mm/s. The sedimentation rate increases with the reamer's drilling speed. The actual cross-section of the perforations is pear-shaped, as is the case in engineering examples.
[1] Kumano A. An experimental and analytical investigation of the response of rock to impact loading[D]. California: University California, Berkeley, 1980.
[2] Sheppard M C, Lesage M. The forces at the teeth of a drilling rollercone bit: Theory and experiment[C]// SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 1988.
[3] Kellogg C G. Vertical earth loads on buried engineered works[J]. Journal of geotechnical engineering, 1993, 119(3): 487-506.
[4] Crochet M J, Davies A R, Walters K. Numerical simulation of nonnewtonian flow[M]. Amsterdam: Elsevier, 1984.
[5] 曾聪, 马保松, 刘厚平. 水平定向钻穿越施工中钻井液渗透对孔壁塑 性半径的影响[J]. 中国石油大学学报: 自然科学版, 2013, 37(2): 57-61. Zeng Cong, Ma Baosong, Liu Houping. Effect of drilling fluid penetration on plastic radius of horizontal directional drilling borehole[J]. Journal of China University of Petroleum: Edition of Natural Science, 2013, 37(2): 57-61.
[6] 高雪林, 叶桦, 任峥峥, 等.水平定向钻的轨迹自动纠偏方法[J].中南大 学学报:自然科学版, 2013, 44(2): 298-302. Gao Xuelin, Ye Hua, Ren Zhengzheng, et al. Automatic trajectory correction of horizontal directional drilling[J]. Journal of Central South University: Science and Technology, 2013, 44(2): 298-302.
[7] 闫相祯, 丁鹏, 杨秀娟. 水平定向钻技术在管道穿越工程中的应用研 究[J]. 石油学报, 2008, 29(2): 292-295. Yan Xiangzhen, Ding Peng, Yang Xiujuan. Research on applying horizontal directional drilling technology to pipeline crossing project[J]. Acta Petrolei Sinica, 2008, 29(2): 292-295.
[8] 徐国华, 褚学宁, 张在房. 水平定向钻钻架有限元建模与分析[J]. 计算 机仿真, 2007, 24(2): 322-325. Xu Guohua, Chu Xuning, Zhang Zaifang. Finite element modeling and analysis for drilling frame of horizontal directional drill[J]. Computer Simulation, 2007, 24(2): 322-325.
[9] 刘清友, 王国荣, 牛再举. 盘式单牙轮钻头破岩机理仿真研究[J]. 四川 大学学报: 工程科学版, 2003, 35(5): 12-15. Liu Qingyou, Wang Guorong, Niu Zaiju. Simulation study the rockbreaking mechanism on dise one-cone bit[J]. Journal of Sichuan Univesity: Engineering Science Edition, 2003, 35(5): 12-15.
[10] 祝效华, 罗衡, 贾彦杰. 考虑岩石疲劳损伤的空气冲旋钻井破岩数值 模拟研究[J]. 岩石力学与工程学报, 2012, 31(4): 754-761. Zhu Xiaohua, Luo Heng, Jia Yanjie. Numerical analysis of air hammer bit drilling based on rock fatigue model[J]. Journal of Rock Mechanics and Engineeing, 2012, 31(4): 754-761.
[11] 陆波. 牙轮钻头与岩石互作用下系统纵向振动研究[D]. 重庆: 重庆 大学, 2006. Lu Bo. The research of the longitudinal vibration in cone bits-rock system[D]. Chongqing: Chongqing University, 2006.
[12] 费康. ABAQUS在岩土工程中的应用[M]. 北京:中国水利水电出版 社, 2010. Fei Kang, Geotechnic engineering in abaqus[M]. Beijing: China Water Power Press, 2010.
[13] Forrestal M J, Tzou D Y. A spherical cavity-expansion penetration model for concrete targets[J]. International Journal of Solids and Structures, 1997, 34(31): 4127-4146.
[14] Lueke J S, Ariaratnam S T. Surface heave mechanisms in horizon tal directional drilling[J]. Journal of Constructi on Engineering and Management, 2005, 131(5): 540-547.
[15] 吴泽兵, 刘清友. 盘式钻头与岩石互作用计算机仿真[J]. 西南石油学 院学报, 1998, 20(1): 72-74. Wu Zebing, Liu Qingyou. Computer simulation of interaction between disc drill and rock[J]. Journal Southwest Petroleum University, 1998, 20(1):72-74.
[16] 黄志强, 范永涛, 魏振强, 等. 冲旋钻头破岩机理仿真研究[J]. 西南石 油大学学报: 自然科学版, 2010, 32(1): 148-150. Huang Zhiqiang, Fan Yongtao, Wei Zhenqiang, et al. Emulation study on rock-breaking mechanism of percussion-rotary bit[J]. Journal Southwest Petroleum University: Science and Technology Edition, 2010, 32(1): 148-150.
