CAJ | 학술논문

根据用相似理论导出的、在自重体积力作用下开挖引起围岩位移的一般关系式，借助于量纲分析，并与数值模拟结果比较，给出了在线弹性半无限体中开挖引起围岩位移与岩石材料的单位体重、弹性模量及开挖几何条件的定量关系，并讨论了这种定量关系成立的条件及使用方法。所得到的一个重要结论是，在不完全满足几何相似律和所给定的其他条件下，巷道围岩中一点的位移与其横断面尺寸和几何中心（或形心）到地表的距离的乘积成正比。
근거용상사이론도출적、재자중체적력작용하개알인기위암위이적일반관계식，차조우량강분석，병여수치모의결과비교，급출료재선탄성반무한체중개알인기위암위이여암석재료적단위체중、탄성모량급개알궤하조건적정량관계，병토론료저충정량관계성립적조건급사용방법。소득도적일개중요결론시，재불완전만족궤하상사률화소급정적기타조건하，항도위암중일점적위이여기횡단면척촌화궤하중심（혹형심）도지표적거리적승적성정비。
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.