地下开采引起地表沉陷预测的弹性薄板法
THE ELASTIC-THIN-PLATE BENDING METHOD FOR PREDICTING GROUND SUBSIDENCE DUE TO UNDERGROUND MINING
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摘要: 基于弹性力学中的薄板弯曲理论,在岩体移动领域建立了地表下沉预测分析的层状模型.通过单元开挖给出了地下工程开挖引起岩体移动变形分析的二维和三维问题理论计算公式,推导了山区地下采矿引起地表下沉的理论公式并用于贵州水城矿务局汪家寨煤矿地下开采引起地表下沉的预测分析.在分析过程中,采用Matlab软件进行数值积分计算和图形绘制.通过工程实例计算分析表明,理论计算结果与矿山现场实测资料二者吻合的很好.Abstract: A stratified model for the analysis of ground subsidence due to underground excavation is established based on elastic-thin-plate bending theory in the rock mass displacement fields.The theoretical formulas for both two-dimensional and three-dimensional rock mass displacements and deformations due to underground excavation are given.The theoretical formula of ground surface subsidence due to underground mining in mountainous area is deduced and applied to the analysis of the ground surface subsidence due to underground mining in Wangjiazhai coal mine,Guizhou Province.Matlab program is used to solve the governing equations and plot the figures.The example shows that the theoretical results agree well with the field measurements.