基于分数阶理论的破碎泥岩流变模型试验研究  

Research on rheology model of broken mudstone based on the fractional theory

作　　者：陈家瑞[1] 浦海[1,2] 肖成[2] 

机构地区：[1]中国矿业大学深部岩土力学与地下工程国家重点试验室,江苏徐州221116 [2]中国矿业大学力学与建筑工程学院,江苏徐州221116

出　　处：《中国矿业大学学报》2015年第6期996-1001,共6页Journal of China University of Mining & Technology

基　　金：国家重点基础研究发展计划(973)项目(2015CB251601;2013CB227900);国家自然科学基金项目(51322401;51421003;U1261201);中央高校基本科研业务费专项资金项目(2014YC09;2014ZDPY08);高等学校学科创新引智计划项目(B07028)

摘　　要：利用MTS816电液伺服试验系统与自制破碎岩体流变试验装置,采用分级加载法,研究饱和破碎泥岩在轴压下的流变特性.在分数阶微积分理论基础上,基于三参量流变模型,提出一个新的分数阶流变模型.利用1stOpt数学软件拟合了不同轴压下新分数阶流变模型的各参数.结果表明,新分数阶流变模型可以较好的描述破碎泥岩的流变规律,并给出了工程实例.随着轴压增大,破碎岩体流变稳定状态时的孔隙率呈负指数减小.Using MTS816 electrohydraulic servo-controlled test system and self-made broken rock rheological test equipment,the rheological property of broken mudstone under axial compression was investigated with step loading.A new fractional rheological model was proposed based on the fractional calculus and three-parameter rheological model.The mathematical software 1stopt was used to fit the parameters of new fractional rheological model with different axial compression.The results show that the new fractional rheological model can be used to describe the rheological characteristics of broken mudstone well and an engineering example was given.With the increasing axial compression,the porosity of broken mudstone in rheological stable state decreases negative exponentially.

关 键 词：破碎岩体 流变模型 分数阶微积分 孔隙率 

分 类 号：TU45[建筑科学—岩土工程]