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从孔隙度的概念入手,利用分形几何理论建立分形维数与孔隙度的关系,分析了孔隙度的变化与体积变形的关系,推导了由孔隙度表达的有效应力表达式,并将之代入纳维方程得到用孔隙度表示的岩体骨架位移方程,结果表明,孔隙度与体积应变、位移都是非线性关系。
From the concept of porosity, fractal geometry theory was used to establish the relationship between fractal dimension and porosity. The relationship between porosity change and volume deformation was analyzed, and the effective stress expression expressed by porosity was deduced. The equation of the displacement of the rock mass is given by the porosity equation. The results show that the porosity is nonlinear with the volumetric strain and displacement.