基于量纲分析法的地下岩体参数对地表变形影响因素分析
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摘要
通过选取影响地表变形的主要岩体力学参数,采用无量纲化分析方法和π定理,并结合数值模拟的结果,分析弹性模量和内摩擦角对地表变形的影响程度,并运用曲线拟合得出基本规律。结果表明:弹性模量和内聚力均对地表的变形有很大影响,特别是弹性模量和内摩擦角较小时,对地表变形的影响更为显著;同时对数值模拟得出的曲线进行拟合,能够得到弹性模量和内摩擦角与地表沉降值和水平变形的函数关系。
By selecting the major mechanical parameters of rock which affect the surface deformation and using the dimensionless analysis method and the theorem of PI,combined with the result of numerical simulation,the influence degree of elastic modulus and internal friction angle on the surface deformation is analyzed and the basic laws are obtained using the curve fitting.Results show that the elastic modulus and cohesion have a great influence on the surface deformation.Especially,when the elastic modulus and the inner friction angle are relatively small,the effect on the surface deformation is more significant.Meanwhile,fitting the curves obtained by the numerical simulation can get the function relational between the elastic modulus and the internal friction angle with the surface subsidence value and the horizontal deformation.
By selecting the major mechanical parameters of rock which affect the surface deformation and using the dimensionless analysis method and the theorem of PI,combined with the result of numerical simulation,the influence degree of elastic modulus and internal friction angle on the surface deformation is analyzed and the basic laws are obtained using the curve fitting.Results show that the elastic modulus and cohesion have a great influence on the surface deformation.Especially,when the elastic modulus and the inner friction angle are relatively small,the effect on the surface deformation is more significant.Meanwhile,fitting the curves obtained by the numerical simulation can get the function relational between the elastic modulus and the internal friction angle with the surface subsidence value and the horizontal deformation.
引文
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[2]郭金峰.金属矿山露天转地下开采的发展现状与对策[J].云南冶金,2003,(1):7-10.
[3]裴明松.程潮铁矿充填法和崩落法联合开采方案及地表稳定性研究[D].武汉:武汉科技大学,2016.
[4]辛国帅.小官庄铁矿北区地下开采对地表沉陷及井筒变形影响数值模拟研究[D].沈阳:东北大学,2014.
[5]孙超,薄景山,刘红帅,等.采空区地表沉降影响因素研究[J].吉林大学学报(地球科学版),2009,39(3):498-502.
[6]刘炜.舒兰市东富村采空区地表沉降变形研究[D].长春:吉林大学,2017.
[7]陈勇.河堤下固体充填采煤地表变形控制研究与实践[D].徐州:中国矿业大学,2016.
[8]陈俊杰.风积沙区高强度开采覆岩与地表变形机理及特征研究[D].焦作:河南理工大学,2015.
[9]原野,王贺,解联库,等.深部充填开采覆岩移动规律及其对地表构筑物影响性研究[J].中国矿业,2016,25(S2):240-245.
[10]万战胜.公路下伏采空区地表变形及处治范围研究[D].西安:长安大学,2011.
[11]高广运,聂春晓,石超,等.静荷载作用下采空区地表变形研究综述[J].地下空间与工程学报,2014,10(S2):1 970-1 975.
[12]陈建强,桂重,黄华坚,等.厂房高边坡岩体参数反分析[J].四川水利,2008,29(3):29-31.
[13]杨宇友,张钦喜,张在明,等.量纲分析法在土工模型试验中的应用[J].北京工业大学学报,2009,35(6):785-789.
[14]刘艳章,邓磊,王其飞,等.基于π定理的崩落法转充填法过渡采场顶柱尺寸研究[J].采矿与安全工程学报,2015,32(2):331-336.