砂岩泊松比函数的提出及研究  

Proposition and research on rock′s Poisson′s ratio function

作　　者：田家林[1,2] 吴波[1] 伍开松[1] 赵攀[1] 

机构地区：[1]西南石油大学机电工程学院,四川成都610500 [2]西南交通大学机械工程学院,四川成都610031

出　　处：《断块油气田》2017年第1期21-25,共5页Fault-Block Oil & Gas Field

基　　金：国家自然科学基金项目"单次冲击加卸载后岩石的全程动态应力应变关系研究与应用"(51174173)

摘　　要：泊松比是一个重要的材料属性参数,它反映了材料在受载情况下横向变形和纵向变形之比,有明确的物理意义。但岩石的泊松比相对金属而言有其特殊性,岩石的泊松比不是定值,而金属的泊松比是定值,故岩石泊松比的变化规律值得深入研究。文中以南充砂岩和武胜砂岩2种岩样为例进行了岩石三轴压缩实验,分析处理了实验数据,提出了泊松比函数概念,并且推导出了泊松比函数公式,得到了泊松比函数与标准泊松比、峰值泊松比以及最大泊松比之间的关系,分析了泊松比函数中的各个材料参数的物理意义。泊松比函数很好地解释了岩石在受力变形过程中的一些物理现象,具有实际的力学研究意义。Poisson′s ratio,which reflects the deformation ratio of material′s transverse and longitudinal deformations under load conditions,is a very important material parameter of material properties,and it has a clear physical meaning.However,compared with metals,rock′s Poisson′s ratio is not a constant,and its change law is worthy of further studying.Based on the triaxial compression tests on Nanchong and Wusheng sandstones,this paper proposes the concept and formula of Poisson′s ratio function.The relationship between Poisson′s ratio function and standard Poisson′s ratio and the relationship between the Poisson′s ratio at the peak and the maximal Poisson′ s ratio are obtained.Finally,the physical meanings of all material parameters in Poisson′ s ratio function are analyzed.Poisson′ s ratio function explains physical phenomena in the rock deformation process,which has some practical significance.

关 键 词：弹性常数 三轴压缩实验 泊松比函数 标准泊松比 

分 类 号：TE12[石油与天然气工程—油气勘探] P634.1[天文地球—地质矿产勘探]