矿坑底板突水的突变模型研究
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摘要
矿坑底板突水是一个典型的突变过程 ,将突变理论首次应用于矿山底板突水的研究之中 ,通过研究煤矿底板系统能量的失稳 ,建立了预测矿坑底板突水的尖点突变模型 (CuspCatastrophicModel) ,导出了系统失稳时受力的临界值及失稳时底板变形和能量释放的表达式 ,为矿山突水预报提供了新的理论方法。
Water bursting in pit floors is a typical catastrophic process. A catastrophic theory was applied in water bursting in pit floors for the first time. Through the research on the instability of energy in the floor system of coal mine, a cusp catastrophic model applied to forecasting water bursting in the floor was put forward. The formulas of the critical stress, the strain and the released energy of the instable floor were developed.So, a new theory approach was offered for the forecast of water bursting in mine.
Water bursting in pit floors is a typical catastrophic process. A catastrophic theory was applied in water bursting in pit floors for the first time. Through the research on the instability of energy in the floor system of coal mine, a cusp catastrophic model applied to forecasting water bursting in the floor was put forward. The formulas of the critical stress, the strain and the released energy of the instable floor were developed.So, a new theory approach was offered for the forecast of water bursting in mine.
引文
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[11]栾元重 ,姜 岩 .地下水动态的突变预测模型 [J] .水文地质工程地质 ,1991,8(4) :16～ 18.
[12 ]王德禹 ,杨桂通 .基于突变理论的弹性圆柱壳冲击扭转屈曲 [J] .工程力学 ,1992 ,9(2 ) :3 6～ 40 .
[13 ]秦四清 ,何怀锋 .狭窄煤柱冲击地压失稳的突变理论分析[J] .水文地质工程地质 ,1995 ,5 :17～ 2 0 .
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[15 ]孙训方 ,方孝淑 ,关来泰 .材料力学 [M ] .北京 :高等教育出版社 ,1994.
[16]徐芝纶 .弹性力学 [M ] .北京 :人民教育出版社 ,1983 .
[17]邵爱军 .矿区地下水渗流理论与应用研究 [D] .武汉 :武汉水利电力大学 ,1998.
[2 ] (英 )桑博德 .突变理论入门 [M ] .凌复华译 .上海 :上海科学技术文献出版社 ,1989.
[3 ] Cubittj,ShawB .Thegeologicalimplicationofsteady statemechanismsincatastrophetheory[J] .MathGeology ,1976,8:65 7～ 661.
[4] HenleyS .Catastrophetheorymodelsingeology[J] .MathGe ology ,1979,8:6～ 11.
[5 ] Potier -FerryM .Towardsacatastrophetheoryforthemechan icsofplasticityandfracture[J] .IntJEngngSci ,1985 ,2 3 (8) :82 1～ 83 7.
[6] AlbertoCarpinteri.Acatastrophetheoryapproachtofracturemechanics[J] .IntJFrac ,1990 ,44:5 7～ 69.
[7] 康仲远 .岩体准静态运动失稳的CUSP型突变模型 [J] .地震学报 ,1984,6(3 ) :3 5 2～ 3 61.
[8] 殷有泉 ,郑顾团 .断层地震的尖角型突变模型 [J] .地球物理学报 ,1988,3 1(6) :65 7～ 63 3 .
[9] 唐春安 ,徐小荷 .岩石破裂过程失稳的尖点灾变模型 [J] .岩石力学与工程学报 ,1990 ,9(2 ) :10 0～ 10 7.
[10 ]唐春安 .岩石破裂过程中的灾变 [M ] .北京 :煤炭工业出版社 ,1993 .
[11]栾元重 ,姜 岩 .地下水动态的突变预测模型 [J] .水文地质工程地质 ,1991,8(4) :16～ 18.
[12 ]王德禹 ,杨桂通 .基于突变理论的弹性圆柱壳冲击扭转屈曲 [J] .工程力学 ,1992 ,9(2 ) :3 6～ 40 .
[13 ]秦四清 ,何怀锋 .狭窄煤柱冲击地压失稳的突变理论分析[J] .水文地质工程地质 ,1995 ,5 :17～ 2 0 .
[14 ]葛亮涛 .关于煤矿底鼓水力学机制的探讨 [J] .煤田地质与勘探 ,1986,1:3 3～ 41.
[15 ]孙训方 ,方孝淑 ,关来泰 .材料力学 [M ] .北京 :高等教育出版社 ,1994.
[16]徐芝纶 .弹性力学 [M ] .北京 :人民教育出版社 ,1983 .
[17]邵爱军 .矿区地下水渗流理论与应用研究 [D] .武汉 :武汉水利电力大学 ,1998.
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