地应力与岩体模量关系的理论及试验研究

岩体模量（弹性模量及变形模量）是工程岩体力学特性的基础参数之一，研究地应力状态与岩体模量之间的关系具有重要意义.基于静弹性热力学模型原理，结合弹性理论，推导了水平主应力与岩体性质参数的定量关系，并对地应力与岩体模量的关系进行了探讨.在此基础上，以赣龙铁路梅花山隧道为依托，开展了围岩应力及岩体模量参数的现场测试工作，并将实测成果与理论分析进行对比.结果表明：当埋深影响较小时，花岗岩中的水平主应力与岩体模量呈线性正相关关系；当埋深相差较大时，深度对地应力及岩体模量的影响均不可忽略，水平主应力与岩体模量一般呈非线性关系，需要进一步研究；对花岗岩中的岩体弹性模量和变形模量与水平主应力之间的相关性进行对比发现，岩体变形模量与水平主应力的相关性更好.研究成果可为工程岩体力学参数取值及评价提供借鉴.

Theoretical and experimental study of relation between in-situ stress and rock mass modulus

Rock mass modulus (elastic modulus and deformation modulus)is one of the basic parameters in rock engineering.It is of great significance to find out the relationship between in-situ stress and rock mass modulus. Combing with the elasto-static thermal stress model as well as the theory of elasticity,the relation of horizontal principal stresses and rock mass property parameters is quantitatively established.Then,the effect of rock mass modulus on the distribution of in-situ stress is discussed.On the basis,an in-situ stress measurement and rock mass modulus test are carried out in Meihuashan tunnel,and the comparison between the measured results and the theoretical results are made.The results are as follows:When the influence of buried depth is less,the relation between horizontal principal stresses and rock mass modulus shows a positive linear correlation in granite.How-ever,when the buried depth varies large and its effect on in-situ stress and rock mass modulus can′t be neglec-ted,the relation between horizontal principal stresses and rock mass modulus turns out to be a positive nonlinear correlation.In granite,the relative coefficient between horizontal principal stresses and rock mass deformation modulus exceeds the relative coefficient between horizontal principal stresses and rock mass elastic modulus. Therefore,the results above can provide great reference to determine rock mass mechanical parameters in rock engineering.