煤体粘滑冲击的发生条件及动力学分析
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摘要
为进一步研究冲击地压发生的机理,以煤体冲击作为研究对象,以粘滑导致冲击为切入点,运用弹性力学及弹性动力学理论,建立了煤体相对顶底板发生粘滑力学模型,根据此力学模型,研究了煤体粘滑发生的条件,建立了粘滑发生后煤体的动力学方程。合理假定边界条件,采用试探法得到了动力学方程的解析解。应用动力学方程的解析解分析了粘滑发生后弹性区煤体的破坏条件及煤体冲击发生的条件。
In order to further study the mechanism of rock burst,took the coal rock burst as study object,and took stick-slip leading to rock burst as entry point,the relative stick-slip of coal to roof and floor mechanical model was established by elasticity and elastodynamics. Based on this mechanical model,the stick-slip condition of coal was studied and stick-slip dynamics equation was established. Properly assuming the boundary conditions,analytic solution of the dynamic equation was obtained by means of heuristics. According to the analytic solution of dynamic equation,the destruction of elastic area coal and the occurring conditions of coal burst were analyzed.
In order to further study the mechanism of rock burst,took the coal rock burst as study object,and took stick-slip leading to rock burst as entry point,the relative stick-slip of coal to roof and floor mechanical model was established by elasticity and elastodynamics. Based on this mechanical model,the stick-slip condition of coal was studied and stick-slip dynamics equation was established. Properly assuming the boundary conditions,analytic solution of the dynamic equation was obtained by means of heuristics. According to the analytic solution of dynamic equation,the destruction of elastic area coal and the occurring conditions of coal burst were analyzed.
引文
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[4]邓志辉,马胜利,马瑾,等.粘滑失稳及其物理场时空分布的实验研究[J].地震地质,1997,17(4):306-310.Deng Zhihui,Ma Shengli,Ma Jin,et al.Experimental study on stick slip instability and evolution of its physical fields[J].Seismology and Geology,1997,17(4):306310.
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[7]黄滚,尹光志.冲击地压粘滑失稳的混沌特性[J].重庆大学学报,2009,32(6):633-637.Huang Gun,Yin Guangzhi.Chaotic behavior of stick slip in rock bursts[J].Journal of Chongqing University,2009,32(6):633-637.
[8]章梦涛.矿震的粘滑失稳理论[D].阜新:阜新矿业学院,1993.
[9]齐庆新,史元伟,刘天泉.冲击地压粘滑失稳机理的的实验研究[J].煤炭学报,1997,22(2):45-148.Qi Qingxin,Shi Yuanwei,Liu Tianquan.Mechanism of instability caused by viscous sliding in rock burst[J].Journal of China Coal Society,1997,22(2):145148.
[10]高应才.数学物理方程及其数值解法[M].北京:高等教育出版社,1997:54-57.
[2]卢振业,加藤尚之,山本清彦,等.横向断层对主断层粘滑扩展过程阻止和滞后作用的实验研究[J].地震学报,1990,12(4):415427.Lu Zhenye,Kato N,Yamamoto K,et al.Research on the effects of stop or delay which lateralfaults influence upon main fault in the un-stable extending process of stick-slip[J].Acta Seismologica Sinica,1990,12(4):415427.
[3]环文林,张晓东,宋昭仪.中国大陆内部走滑型发震构造粘滑运动的结构特征[J].地震学报,1997,19(3):225-234.Huan Wenlin,Zhang Xiaodong,Song Zhaoyi.In the Chinese main-land strike-slip seismogenic tectonic structural characteristics of stick-slip movement[J].Acta Seismologica Sinica,1997,19(3):225234.
[4]邓志辉,马胜利,马瑾,等.粘滑失稳及其物理场时空分布的实验研究[J].地震地质,1997,17(4):306-310.Deng Zhihui,Ma Shengli,Ma Jin,et al.Experimental study on stick slip instability and evolution of its physical fields[J].Seismology and Geology,1997,17(4):306310.
[5]Slawomir Jerzy Gibowicz,Andzeikijko.矿山地震学引论[M].修济刚,译.北京:地震出版社,1998.
[6]梁冰,章梦涛.矿震发生的粘滑失稳机理及其数值模拟[J].阜新矿业学院学报(自然科学版),1995,16(5):521-524.Liang Bing,Zhang Mengtao.Numerical simulation and instability slide mechanismof fault bursts[J].Journal of Fuxin Mining Institute(Natural Science),1995,16(5):521-524.
[7]黄滚,尹光志.冲击地压粘滑失稳的混沌特性[J].重庆大学学报,2009,32(6):633-637.Huang Gun,Yin Guangzhi.Chaotic behavior of stick slip in rock bursts[J].Journal of Chongqing University,2009,32(6):633-637.
[8]章梦涛.矿震的粘滑失稳理论[D].阜新:阜新矿业学院,1993.
[9]齐庆新,史元伟,刘天泉.冲击地压粘滑失稳机理的的实验研究[J].煤炭学报,1997,22(2):45-148.Qi Qingxin,Shi Yuanwei,Liu Tianquan.Mechanism of instability caused by viscous sliding in rock burst[J].Journal of China Coal Society,1997,22(2):145148.
[10]高应才.数学物理方程及其数值解法[M].北京:高等教育出版社,1997:54-57.
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