红层软岩崩解破碎过程的分形分析及数值模拟

通过红层软岩的室内恒温保水和模拟大气条件的渐进崩解实验,跟踪观察崩解产物的粒度变化,引入分形几何的理论模型,提出利用分维数来定量描述红砂岩崩解破碎的非线性动态过程,并结合湘南某高速公路红层软岩路基工程建设,提出相应的崩解稳定分维数。研究结果表明:基于质量的分形分布模型能较好地描述岩石崩解破碎过程中粒度的分布特征,其分维数可作为判断红层软岩崩解完成与否的控制指标。通过计算机数值模拟,进一步验证了分形理论应用于崩解破碎过程定量描述的适用性,并以数值模拟实验得到的筛分数据,统计得出基于质量的分形分布和常用的R—R分布的参数之间的关系。

Fractal analysis and numerical modeling disintegrate process of red-bed soft rock

Based on the indoor gradual disintegration testing of red-bed soft rock, whose conditions are constant temperature, water conservation and simulated atmospheric environment, the change of disintegration product granularity was tracked. The fractal geometry theoretical models was brought forward, the fractal dimension to quantitatively describe the nonlinear dynamic disintegrate process of red sandstone was put forward. Conjoining a highway red-bed soft rock roadbed engineering structure in south Hunan, a corresponding disintegration steady fate value was proposed. In addition, through computer numerical modeling, which furtherly verifies the applicability of fractal theory. The sizing screen date obtained by numerical simulation was used to obtain the relationship between fractal distribution based on mass and commonly used R-R distribution parameters by fitting.