摘要
基于分形的相似性原理和质量守恒定律,分别探讨了岩石颗粒的细观分数倍崩解过程及粒组宏观分布模拟崩解方法,得到了基于颗粒数量统计的岩石崩解分形描述的关联分维计算公式.在此基础上,以黏土类岩为研究对象,分析了不同pH环境下岩石颗粒崩解过程的分形演化规律.结果表明:初次崩解时溶液pH值越小颗粒分形维数越大,pH值越小分维数趋于稳定所需循环次数越少;酸性溶液对颗粒崩解分维数的增长起到加速作用,碱性溶液对颗粒崩解分维数的增加具有阻碍作用且循环多次后分维曲线才渐趋稳定,但任何溶液条件下黏土类岩崩解的颗粒分形维数最终趋于相等.
Based on the similarity principle and the conservation of mass,the microscopic fraction disintegration and macro distribution of rock particles are discussed separately,and the correlation fractal dimension calculation formula about rock disintegration is also presented.On this basis,the fractal evolution law of clay rock disintegration under different pH conditions is investigated.The results show that,the smaller the pH value,the greater the fractal dimensions in the preliminary stage and the fewer the cycle times to obtain the stable fractal dimension.In addition,the acid solution accelerates the growth of particle fractal dimension,but the alkaline solution plays a role of reverse.It needs more cycle times that the fractal dimension curves become stable in the alkaline conditions.However,the fractal dimension under different pH conditions should tend to be equal ultimately.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2014年第10期1480-1485,共6页
Journal of Tongji University:Natural Science
基金
国家自然科学基金(412021985)
福建省自然科学基金(2012J05090)
教育部博士点新教师基金(20123514120005)
关键词
黏土类岩
PH值
循环崩解
分形理论
clay rock
pH value
cycle disintegration
fractal theory
