工程地质学报Issue(4)：638-646,9.DOI:10.13544/j.cnki.jeg.2014.04.009
线弹性半无限体中开挖引起围岩位移与参数关系的相似方法研究
A STUDY OF THE RELATIONS BETWEEN SURROUNDING ROCK DISPLACEMENTS DUE TO EXCAVATION IN LINEARLY ELASTIC SEMI-INFINITE BODY AND THE CORRELATION PARAMETERS BY THE METHOD BASED ON SIMILARITY THEORY
摘要
Abstract
Based on the derived general expression for the displacement of a point in a surrounding rock mass caused by excavating under the action of self-weight volume forces from similarity theory,by means of dimensional analysis,and comparing with the results of the numeral simulations,an empirical formula of parametric ratios expressed in geometric,physical and mechanical parameters is proposed,which shows the quantitative relationships between the displacement of a point in a surrounding rock mass caused by excavating in a linearly elastic semi-infinite body and any one of the parameters,including the specific weight of a rock material,the modulus of elasticity for the material,the size of a cross section of a tunnel and the distance from the earth surface to the center of the cross section.And the conditions under which the formula holds and its applications are discussed,and the methods for use it are given.A main conclusion says that,in the case that the geometric similarity law is not completely satisfied,under the given other conditions the displacement of a point in the rock mass surrounding a tunnel is proportional to the product of the distance from the center of cross section to the earth surface and the size of the cross section and is independent of the shape of the cross section.关键词
露天开挖/巷道开挖/围岩位移的参数式/相似方法/量纲分析Key words
Open excavation/Tunnel excavation/Parametric formula for surrounding rock displacements/Similarity method/Dimensional analysis分类
天文与地球科学引用本文复制引用
徐嘉谟,刘彤,马凤山..线弹性半无限体中开挖引起围岩位移与参数关系的相似方法研究[J].工程地质学报,2014,(4):638-646,9.基金项目
国家自然科学基金项目（41372323，41172271）资助． （）
