民窿空区群级联失稳评价
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摘要
民窿空区群已构成了许多矿山安全生产的极大隐患。针对民窿空区群的特点,运用重整化群方法,从整体的角度对民窿空区群系统的稳定性问题进行了研究,得到了空区群变尺度级联失稳迭代函数。给出了判别空区群系统整体失稳的临界概率,将空区群系统失稳的复杂判别转化为单元失稳概率与临界概率大小的比较问题,同时给出了计算实例,以供参考。所建立的方法可以为大规模民窿空区群范围内的工程施工以及民窿所在矿山空区群整体稳定性评价提供参考,同时也为认识一般空区群系统的失稳机理开辟了一条新的途径。
The private mined zone groups have become one of the most potential safety hazard for many mines.In light of the characteristics of private mined zone groups,the renormalization group approach was used to study the systematic stability of the zone groups,and the iterated cascading collapse function of varied scale was obtained.The critical probability of overall collapse was presented,which simplifies the identification of the systematic collapse of zone groups to the comparison of the cell instability with the critical overall collapse probability,and an example was offered for reference as well.The established method can serve as a guidance for engineering construction in the scope of private mined zone groups and a reference for stability evaluation in mines where private mined zone groups prevail,at the same time,it offers also a new view point to understand the overall collapse mechanism of the general void zone groups.
The private mined zone groups have become one of the most potential safety hazard for many mines.In light of the characteristics of private mined zone groups,the renormalization group approach was used to study the systematic stability of the zone groups,and the iterated cascading collapse function of varied scale was obtained.The critical probability of overall collapse was presented,which simplifies the identification of the systematic collapse of zone groups to the comparison of the cell instability with the critical overall collapse probability,and an example was offered for reference as well.The established method can serve as a guidance for engineering construction in the scope of private mined zone groups and a reference for stability evaluation in mines where private mined zone groups prevail,at the same time,it offers also a new view point to understand the overall collapse mechanism of the general void zone groups.
引文
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[4]中南大学资源与安全工程学院,广东大宝山矿业有限公司.复杂空区上矿体安全开采技术研究[R].长沙:中南大学资源与安全工程学院,2004.
[5]赵奎.岩金矿山采空区及残留矿柱回采稳定性研究[D].北京:北京科技大学,2002.
[6]吴兆营,薄景山,杜国林,等.采空区对地表稳定性的影响[J].自然灾害学报,2004,13(2):140-144.
[7]Szwedzicki T.Geotechnical precursors to large_scale ground collapse in mines[J].International Journal of Rock Mechanics and Mining Sciences,2001,38:957-965.
[8]郭大庆,石特临,郑文衡,等.利用重整化群方法讨论强震前地震活动的临界点现象[J].华南地震,1994,14(3):1-7.
[9]Thompson J,Stewart HB.Nonlinear dynamics and chaos[M].UK:John wiley and Sons Ltd John Wileg and Sons,1986.
[10]Di Castro C,Raimondi R,Caprara S.Renormalization group and ward identities in quantumliquid phases and in unconventional critical phenom-ena[J].Journal of Statistical Physics,2004,115(112):91-123.
[11]Hastings J J,Muggeridge AH.Upscaling uncertain permeability using small cell renormalization[J].Mathematical Geology,2001,33(4):491-505.
[12]Lehmann P,St hli M,Papritz A,et al.Afractal approach to model soil structure and to calculate thermal conductivity of soils[J].Transport inPorous Media,2003,52:313-332.
[13]杰里米克.岩体力学在硬岩开采中的应用[M].赵玉学,译.北京:冶金工业出版社,1990.
[2]徐长佑.露天转地下开采[M].武汉:武汉工业大学出版社,1990.
[3]钱鸣高,何富连,王作棠,等.再论采场矿山压力理论[J].中国矿业大学学报,1994,23(3):1-9.
[4]中南大学资源与安全工程学院,广东大宝山矿业有限公司.复杂空区上矿体安全开采技术研究[R].长沙:中南大学资源与安全工程学院,2004.
[5]赵奎.岩金矿山采空区及残留矿柱回采稳定性研究[D].北京:北京科技大学,2002.
[6]吴兆营,薄景山,杜国林,等.采空区对地表稳定性的影响[J].自然灾害学报,2004,13(2):140-144.
[7]Szwedzicki T.Geotechnical precursors to large_scale ground collapse in mines[J].International Journal of Rock Mechanics and Mining Sciences,2001,38:957-965.
[8]郭大庆,石特临,郑文衡,等.利用重整化群方法讨论强震前地震活动的临界点现象[J].华南地震,1994,14(3):1-7.
[9]Thompson J,Stewart HB.Nonlinear dynamics and chaos[M].UK:John wiley and Sons Ltd John Wileg and Sons,1986.
[10]Di Castro C,Raimondi R,Caprara S.Renormalization group and ward identities in quantumliquid phases and in unconventional critical phenom-ena[J].Journal of Statistical Physics,2004,115(112):91-123.
[11]Hastings J J,Muggeridge AH.Upscaling uncertain permeability using small cell renormalization[J].Mathematical Geology,2001,33(4):491-505.
[12]Lehmann P,St hli M,Papritz A,et al.Afractal approach to model soil structure and to calculate thermal conductivity of soils[J].Transport inPorous Media,2003,52:313-332.
[13]杰里米克.岩体力学在硬岩开采中的应用[M].赵玉学,译.北京:冶金工业出版社,1990.
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