Insight into in-situ stress calculation applied in hollow inclusion measurement
YAN Zhenxiong1，2，WANG Peitao1，2
(1. School of Civil and Resource Engineering，University of Science and Technology Beijing，Beijing 100083，China； 2. Key Laboratory of High-efficient Mining and Safety of Metal Mines of Ministry of Education，University of Science and Technology Beijing，Beijing 100083，China)
In order to improve in-situ stress calculation method applied in hollow inclusion measurement，the normal equations are built by least square method to obtain the mathematical expressions of in-situ stress components. Based on the Shengjin′s formulas to have characteristic equation of the stress state，the discriminant for estimating the stress state and calculation method of principal stress are obtained. According to geometric relations among the direction cosine of the principal stress，a method of determining octants of principal stress is given and the calculation formulas of azimuth and dip are deduced. With LabVIEW，a program of in-situ stress calculation is programmed to study the stress state of Xincheng gold mine. The results reveal that the in-situ stress is dominated by horizontal tectonic stress field and the maximum horizontal principal stress is oriented in SE-NW directionto nearly E-W direction.
蔡美峰，乔兰，于波，等. 梅山铁矿地应力测量结果及其分析[J]. 岩石力学与工程学报，1997，16(3)：233-239.(CAI Meifeng，QIAO Lan，YU Bo，et al. Results and analysis of in-situ stress measurement in Meishan iron mine[J]. Chinese Journal of Rock Mechanics and Engineering，1997，16(3)：233-239.(in Chinese))
[2]
蔡美峰，刘卫东，李远. 玲珑金矿深部地应力测量及矿区地应力场分布规律[J]. 岩石力学与工程学报，2010，29(2)：227-233.(CAI Meifeng，LIU Weidong，LI Yuan. In-situ stress measurement at deep position of Linglong gold mine and distribution law of in-situ stress field in mine area[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(2)：227-233.(in Chinese))
[3]
蔡美峰，郭奇峰，李远，等. 平煤十矿地应力测量及其应用[J]. 北京科技大学学报，2013，35(11)：1399-1406.(CAI Meifeng，GUO Qifeng，LI Yuan，et al. In situ stress measurement and its application in the10th mine of Pingdingshan coal group[J]. Journal ofUniversity of Science and Technology Beijing，2013，35(11)：1399-1406.(in Chinese))
[4]
MIAO S，LI Y，TAN WH，et al. Relation between the in-situ stress field and geological tectonics of a gold mine area in Jiaodong Peninsula，China[J]. International Journal of Rock Mechanics andMining Sciences，2012，51(4)：76-80.
[5]
CAI MF，QIAO L，LI C，et al. Application of an improved hollow inclusion technique for in situ stress measurement in Xincheng goldmine，China[J]. International Journal of Rock Mechanics and Mining Science，1995，32(4)：435-739.
[6]
CAI MF，QIAO L，YU JB，et al. Stress measurement with an improved hollow inclusion technique in Jinchuan nickel mine[J]. Journal of University of Science and Technology Beijing，2000，7(3)：157-160.
[7]
蔡美峰，何满潮，刘东燕. 岩石力学与工程[M]. 北京：科学出版社，2013：165-177.(CAI Meifeng，HE Manchao，LIU Dongyan. Rock mechanics and engineering[M]. Beijing：Science Press，2013：165-177.(in Chinese))
[8]
蔡美峰. 地应力测量原理和技术[M]. 北京：科学出版社，2000：85-90.(CAI Meifeng. Principle and techniques of in situ stress measurement[M]. Beijing：Science Press，2000：85-90.(in Chinese))
[9]
王连捷，潘立宙，廖椿庭，等. 地应力测量及其在工程中的应用[M]. 北京：地质出版社，1991：111-114.(WANG Lianjie，PAN Lizhou，LIAO Chunting，et al. In situ stress measurement and its application[M]. Beijing：Geological Publishing House，1991：111-114.(in Chinese))
[10]
周思孟. 复杂岩体若干岩石力学问题[M]. 北京：中国水利水电出版社，1998：73-80.(ZHOU Simeng. Some rock mechanics problems in complex rock mass[M]. Beijing：China Water andPower Press，1998：73-80.(in Chinese))
[11]
周仲甫. 三维应力时求解主应力的图解法[J]. 力学与实践，1986，(6)：37-41.(ZHOU Zhongfu. Graphic method of principal stress in three dimensional stress state[J]. Mechanics in Engineering，1986，(6)：37-41.(in Chinese))
[12]
李跃军. 关于一般三维应力状态主应力的大小和方向的确定问题[J]. 工程力学，2001，(增)：687-690.(LI Yuejun. Determination of the principal stress in general three dimensional stress state[J]. Engineering Mechanics，2001，(Supp.)：687-690.(in Chinese))
[13]
孙卫春，闵 弘，王川婴. 三维地应力测量及地质力学分析[J]. 岩石力学与工程学报，2008，27(增2)：3778-3784.(SUN Weichun，MIN Hong，WANG Chuanying. Three-dimensional geostress measurement and geomechanical analysis[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(Supp.2)：3778-3784.(in Chinese))
范盛金. 一元三次方程的新求根公式与新判别法[J]. 海南师范学院学报：自然科学版，1989，2(2)：91-98.(FAN Shengjin. A new extracting formula and a new distinguishing means on the one variable cubic equation[J]. Journal of Hainan Teachers College：Natural Science，1989，2(2)：91-98.(in Chinese))
[16]
闫振雄. 基于LabVIEW的难动用矿产资源开采监测体系研究[硕士学位论文][D]. 武汉：武汉理工大学，2012.(YAN Zhenxiong. Study on monitoring system of difficult-to-production resources mining based on LabVIEW[M. S. Thesis][D]. Wuhan：Wuhan University of Technology，2012.(in Chinese))
2018, Vol. 37 
