基于采动岩体裂隙分形演化的岩体强度分析  

Rock Mass Strength Analysis Based on Fractal Evolution of Mining-induced Rock Mass Fracture

作　　者：李刚[1,2] 于广明[1] 任枫 LI Gang;YU Guangming;REN Feng(School of Civil Engineering, Qingdao Technological University, Qingdao 266033, China;College of Civil Engineering and Architecture, Qingdao Agricultural University, Qingdao 266109, China;Qingdao Real Estate School,Qingdao 266000, China)

机构地区：[1]青岛理工大学土木工程学院,山东青岛266033 [2]青岛农业大学建筑工程学院,山东青岛266109 [3]青岛房产学校,山东青岛266000

出　　处：《青岛农业大学学报（自然科学版）》2020年第4期294-297,303,共5页Journal of Qingdao Agricultural University(Natural Science)

基　　金：国家自然科学基金项目(51374135)。

摘　　要：为分析采动岩体中存在的裂隙、节理等因素导致的岩体力学性能弱化问题,本文利用分形几何理论研究采动岩体裂隙网络的演化规律,运用分形理论和统计断裂力学方法分析岩体裂隙演化发展破坏方式下的岩体统计强度,分别分析Ⅰ型裂纹、Ⅱ型裂纹引发破坏模式下的岩体强度均值,建立与不同裂纹形态相对应的岩体强度-分形维数关系式,并通过数值分析的方法获得了强度与分维关系图。分析结果显示:采动岩体裂隙演化具有分形特性,裂隙岩体的强度与其中裂隙分布发育的分维值有相应的数量关系,分形维数可作为分析岩体损伤状态的参数。随着分维值的变大,岩体强度会相应降低,可通过裂隙演化分维值进行岩体强度的估算。In order to analyze the weakening of mechanical properties of rock mass caused by fractures and joints in mining-induced rock mass,the fractal geometry theory was used to study the evolution law of fracture network in mining-induced rock mass.The fractal theory and statistical fracture mechanics were used to analyze the statistical strength(the mean values of strength)of rock mass under two failure modes(ModeⅠcrack and ModeⅡcrack),and the relationships between rock mass strength and fractal dimension corresponding to different crack modes were established and analyzed.The analysis results showed that the evolution of mining-induced rock mass fractures had fractal characteristics.There was a quantitative relationship between the strength of fractured rock mass and the fractal dimension value of fracture distribution.And the fractal dimension value could be used as a parameter for analyzing the damage state of rock mass.The strength of rock mass would decrease correspondingly with the increase of fractal dimension value,so the strength of rock mass could be estimated by the fractal dimension value of fracture.

关 键 词：采动岩体 分形 岩体强度 断裂力学 

分 类 号：TD821[矿业工程—煤矿开采]