基于剪切梁的地垒断层型矿震解析分析
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摘要
为得到地垒组合型断层失稳诱发矿震的方式及断层影响区顶板平衡结构的解析解,将顶板简化为剪切梁模型进行分析.基于弹性剪切梁确定了顶板最大等效剪力位置和顶板初次垮落步距的计算公式.顶板等效剪力随着采空区跨度的增加而增加,达到顶板极限值时发生初次来压,顶板断裂位置出现在煤层内部.用弹塑性剪切梁模型分析存在地垒断层的采场顶板初次来压和周期来压,当最大等效剪力达到断层剪切极限时,断层错动,释放能量,发生矿震.
In order to simulate the rockburst induced by the horst combination fault instability and to obtain the analytical solution for the roof equilibrium structure in the horst combination fault influence areas, the roof is simplified into a shear beam model. Based on the elastic shear beam model, the position of the maximum equivalent shear in the roof is determined and the computational formula for the roof's first caving step is obtained. The roof equivalent shear increases with the increase of the span of the gob.The first weighting takes place when the equivalent shear reaches the top limit, and the roof fracture location appears in the interior of the coal seam. The first weighting and the periodical weighting of the roof in the stope are analyzed.In the stope, horst faults are found. And the elastic-plastic shear beam model is used in the analysis. which shows that horst faults may exist in the stope.The faults will slip, the energy will be released and the mine tremor will occur, when the maximum equivalent shear reaches the shear limit of the faults.
In order to simulate the rockburst induced by the horst combination fault instability and to obtain the analytical solution for the roof equilibrium structure in the horst combination fault influence areas, the roof is simplified into a shear beam model. Based on the elastic shear beam model, the position of the maximum equivalent shear in the roof is determined and the computational formula for the roof's first caving step is obtained. The roof equivalent shear increases with the increase of the span of the gob.The first weighting takes place when the equivalent shear reaches the top limit, and the roof fracture location appears in the interior of the coal seam. The first weighting and the periodical weighting of the roof in the stope are analyzed.In the stope, horst faults are found. And the elastic-plastic shear beam model is used in the analysis. which shows that horst faults may exist in the stope.The faults will slip, the energy will be released and the mine tremor will occur, when the maximum equivalent shear reaches the shear limit of the faults.
引文
1 白玉梅.地质构造对采煤沉陷的控制作用研究.[硕士论文].西安:西安科技大学,2006
2 夏玉成.构造环境对煤矿区采动损害的控制机理研究.[博士论文].西安:西安科技大学,2003
3 潘一山.矿震的发生和破坏规律研究.[博士后出站报告].北京:中国地震局地质研究所,2003
4 Cook NGW.The failure of rock.Int Rock Mech Min Sci&Geomech Abstr,1965,(4):389-403
5 Cook NGW.A note on rock bursts considered as a problem of stability.South Afr Int Min and Metallurgy,1965,(65):437-446
6 Petukhov IM,Linkov AM.The theory of post-failure deformations and the problem of stability in rock mechanics.Int Rock Mech Min Sci&Geomech Abstr,1979,(16):57-76
7 刘学增,朱合华.断层在土体中的传播模式及对地下管线的影响.力学与实践,2004,26(5):7-13
8 Dems K,Mroz Z.Stability conditions for brittle-plastic structures with propagating damage surfaces.Struct Mech,1985,(1):95-122
9 Shen B,King A,Guo H.Displacement stress and seismicity in roadway roofs during mining induced failure.International Journal of Rock Mechanics&Mining Sciences,2008,45(5):672-688
10 李术才,朱维申,宋振骐等.采场围岩破损过程的断裂损伤模型研究.力学与实践,1999,20(1):22-25
11 左宇军,李夕兵,唐春安.二维动静组合加载下岩石破坏的试验研究.岩石力学与工程学报,2006,25(9):1809-1820
12 朱万成,左宇军,尚世明,动态扰动触发深部巷道发生失稳破裂的数值模拟.岩石力学与工程学报,2007,26(5):915-921
13 潘一山,王来贵,章梦涛.断层冲击地压发生的理论与实验研究.岩石力学与工程学报,1998,17(6):642-649
14 潘岳,刘英,顾善发.矿井断层冲击地压的折迭突变模型.岩石力学与工程学报,2001,20(1):43-48
15 潘岳,解金玉,顾善发.非均匀围压下矿井断层冲击地压的突变理论分析.岩石力学与工程学报,2001,20(3):310-314
16 沈新普,泽鲁,穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(I)——基本特性.应用数学和力学,2000,21(11):1101-1108
17 刘延柱,薛纭.关于弹性梁的数学模型.力学与实践,2011,22(1):74-78
18 王省哲,怡晓玲.弹性力学问题复变函数解法的应用与发展.力学与实践,2008,19(6):110-113
19 缪协兴,茅献彪,周廷振.采场老顶弹性地基梁结构分析与来压预报.力学与实践,1995,17(5):21-41
20 Mogi K.Study of the elastic shocks caused by the fracture of heterogeneous materials and its relation to earthquake phenomena,bull.Earthquake Res Inst,1962,40:125-173
2 夏玉成.构造环境对煤矿区采动损害的控制机理研究.[博士论文].西安:西安科技大学,2003
3 潘一山.矿震的发生和破坏规律研究.[博士后出站报告].北京:中国地震局地质研究所,2003
4 Cook NGW.The failure of rock.Int Rock Mech Min Sci&Geomech Abstr,1965,(4):389-403
5 Cook NGW.A note on rock bursts considered as a problem of stability.South Afr Int Min and Metallurgy,1965,(65):437-446
6 Petukhov IM,Linkov AM.The theory of post-failure deformations and the problem of stability in rock mechanics.Int Rock Mech Min Sci&Geomech Abstr,1979,(16):57-76
7 刘学增,朱合华.断层在土体中的传播模式及对地下管线的影响.力学与实践,2004,26(5):7-13
8 Dems K,Mroz Z.Stability conditions for brittle-plastic structures with propagating damage surfaces.Struct Mech,1985,(1):95-122
9 Shen B,King A,Guo H.Displacement stress and seismicity in roadway roofs during mining induced failure.International Journal of Rock Mechanics&Mining Sciences,2008,45(5):672-688
10 李术才,朱维申,宋振骐等.采场围岩破损过程的断裂损伤模型研究.力学与实践,1999,20(1):22-25
11 左宇军,李夕兵,唐春安.二维动静组合加载下岩石破坏的试验研究.岩石力学与工程学报,2006,25(9):1809-1820
12 朱万成,左宇军,尚世明,动态扰动触发深部巷道发生失稳破裂的数值模拟.岩石力学与工程学报,2007,26(5):915-921
13 潘一山,王来贵,章梦涛.断层冲击地压发生的理论与实验研究.岩石力学与工程学报,1998,17(6):642-649
14 潘岳,刘英,顾善发.矿井断层冲击地压的折迭突变模型.岩石力学与工程学报,2001,20(1):43-48
15 潘岳,解金玉,顾善发.非均匀围压下矿井断层冲击地压的突变理论分析.岩石力学与工程学报,2001,20(3):310-314
16 沈新普,泽鲁,穆荣日.求解层间界面反平面剪切破坏的剪切梁模型(I)——基本特性.应用数学和力学,2000,21(11):1101-1108
17 刘延柱,薛纭.关于弹性梁的数学模型.力学与实践,2011,22(1):74-78
18 王省哲,怡晓玲.弹性力学问题复变函数解法的应用与发展.力学与实践,2008,19(6):110-113
19 缪协兴,茅献彪,周廷振.采场老顶弹性地基梁结构分析与来压预报.力学与实践,1995,17(5):21-41
20 Mogi K.Study of the elastic shocks caused by the fracture of heterogeneous materials and its relation to earthquake phenomena,bull.Earthquake Res Inst,1962,40:125-173
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