地下开采引起地表沉陷预测的弹性薄板法-工程力学.PDF

第 23 卷第 8 期 Vol.23 No.8 工 程 力 学 2006 年 8 月 Aug. 2006 ENGINEERING MECHANICS 177 文章编号：1000-4750(2006)08-0177-05 地下开采引起地表沉陷预测的弹性薄板法 * 1,2 1 1 1,2 李文秀 ，梁旭黎 ，赵胜涛 ，梅松华 (1. 河北大学岩土工程研究所，保定 071002; 2. 中国科学院武汉岩土力学研究所岩土力学重点实验室，武汉 430071) 提 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。 关键词：岩石力学；弹性理论；层状模型；地下开采；岩体移动；地表沉陷；预测 中图分类号：TD325.+2; TU478 文献标识码：A THE ELASTIC-THIN-PLATE BENDING METHOD FOR PREDICTING GROUND SUBSIDENCE DUE TO UNDERGROUND MINING * 1,2 1 1 1,2 LI Wen-xiu , LIANG Xu-li , ZHAO Sheng-tao , MEI Song-hua (1. Hebei University, Baoding, Hebei 071002, PR. China; 2. Key Laboratory of Rock and Soil Mechanics, Institute of Rock and Soil Mechanics, the Chinese Academy of Sciences, Wuhan, Hubei 430071, PR. China) 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 th