随机分布贯穿裂隙岩体变形特性研究

›› 2012, Vol. 33 ›› Issue (9): 2677-2682.

随机分布贯穿裂隙岩体变形特性研究

李术才¹，韩建新^{1, 2}，仝兴华¹，李树忱¹，张永伟^{1, 3}

1.山东大学岩土与结构工程研究中心，济南 250061；2. 山东财经大学数学与数量经济学院，山东济南 250014； 3.山东省地质环境监测总站，济南 250014

收稿日期:2011-04-27 出版日期:2012-09-11 发布日期:2012-09-12
通讯作者: 韩建新，男，1971年生，博士研究生，副教授，主要从事岩土工程方面的研究工作。E-mail: mohan2002@126.com E-mail: lishucai@sdu.edu.cn
作者简介:李术才，男，1965年生，教授，博士生导师，主要从事裂隙岩体断裂损伤、地质灾害超前预报与防治等方面的教学与研究工作
基金资助:
国家重点基础研究发展计划项目（973计划）（No. 2010CB732002）；山东省自然科学基金资助项目（No. 2009ZRB02285）；国家自然科学基金资助项目（No. 51179098）。

Study of deformation characteristics of rock mass with stochastic distribution of penetrative cracks

LI Shu-cai¹, HAN Jian-xin^{1, 2}, TONG Xing-hua¹, LI Shu-chen¹, ZHANG Yong-wei^{1, 3}

1. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan 250061, China; 2. School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, China; 3. Shandong Monitoring Center of Geoenvironment, Jinan 250014, China

Received:2011-04-27 Online:2012-09-11 Published:2012-09-12

摘要/Abstract

摘要： 洞室开挖后，其周边通常会产生许多随机分布的贯穿裂隙，直接影响洞室围岩稳定，研究随机分布贯穿裂隙岩体的变形及变形特性具有重要意义。基于线弹性理论和线性刚度理论计算岩石和裂隙的位移，用概率的方法建立了随机分布贯穿裂隙岩体变形的计算模型，给出了随机分布贯穿裂隙岩体的等效弹性模量和等效泊松比，研究了岩石和裂隙的材料参数和几何参数对岩体等效弹性模量和等效泊松比的影响。可得如下结论：等效弹性模量和等效泊松比随着岩石弹性模量的增大而增大；等效泊松比随着岩石泊松比的增大而增大；等效弹性模量和等效泊松比随着裂隙法向刚度的增大而增大；随着剪切刚度的增大，等效弹性模量逐渐增大，而等效泊松比则逐渐减少；随着裂隙平均间距的增大，等效弹性模量逐渐减小，等效泊松比在平均倾斜角较小时逐渐增大，在平均倾斜角较大时逐渐减小；随着裂隙平均倾斜角的增大，等效弹性模量先减小后增大，而等效泊松比先增大后减小。模型能较全面地考虑构成岩体的岩石和裂隙的材料参数与几何参数对岩体变形的影响，其结果对研究洞室围岩的变形和工程设计有一定的参考价值。

关键词: 随机分布, 贯穿裂隙岩体, 变形特性, 等效弹性模量, 等效泊松比

Abstract: After excavation of caverns, the surrounding rock mass of them usually generates a lot of stochastic distribution of penetrative cracks which directly affects the stability of surrounding rock mass. It is important to study the deformation and deformation characteristics of rock mass with stochastic distribution of penetrative cracks. Based on linear elastic theory and linear stiffness theory, the computational model of deformation of rock mass with stochastic distribution of penetrative cracks is established by probabilistic approach. Equivalent elastic modulus and equivalent Poisson’s ratio are also presented. The effects of material parameters and geometry parameters of rock and cracks on the equivalent elastic modulus and equivalent Poisson’s ratio of fractured rock mass are studied. The following conclusions can be concluded: the equivalent elastic modulus and equivalent Poisson’s ratio all increase with the increase of elastic modulus of rock. The equivalent Poisson’s ratio increases with the increase of Poisson’s ratio of rock. The equivalent elastic modulus and equivalent Poisson’s ratio all increase with the increase of normal stiffness of cracks. With the increase of shear stiffness of cracks, the equivalent elastic modulus increases, while equivalent Poisson’s ratio decreases. With the increase of mean space of cracks, the equivalent elastic modulus decreases, while the equivalent Poisson’s ratio increases when the mean dip is smaller and decrease when mean dip is larger. With the increase of mean dip of cracks, the equivalent elastic modulus firstly decreases and then increases, while the equivalent Poisson’s ratio firstly increases and then decreases. The model can more comprehensively consider the effects of material parameters and geometry parameters of rock and cracks on the deformation of rock mass. So the model has some reference value in studying deformation of surrounding rock mass of caverns.

Key words: stochastic distribution, rock mass with penetrative cracks, deformation characteristic, equivalent elastic modulus, equivalent Poisson’s ratio

中图分类号:

TU 452

李术才，韩建新，仝兴华，李树忱，张永伟 . 随机分布贯穿裂隙岩体变形特性研究[J]. , 2012, 33(9): 2677-2682.

LI Shu-cai , HAN Jian-xin , TONG Xing-hua , LI Shu-chen , ZHANG Yong-wei . Study of deformation characteristics of rock mass with stochastic distribution of penetrative cracks[J]. , 2012, 33(9): 2677-2682.

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