软岩崩解分形机制的数学模拟

膨胀性软岩是工程中常见的岩体，其特点之一是吸水膨胀崩解。通过研究软岩崩解物的粒度及其分形特征变化规 律，根据分形概念建立了模拟红层软岩崩解的数学模型，模拟与实测结果的发展趋势基本相同，表明软岩的崩解过程是一个分形。根据该成果，工程中可通过少量的崩解试验数据确定数学模拟模型的参数，从而计算得到软岩崩解物的分数维不再变化的临界值，并可对更长时间后软岩的崩解分数维进行预测。

Mathematical simulation of fractal mechanism for slaking of soft rock

Soft rock is a familiar rock mass in rock engineering. One main character of soft rock is swelling and collapsing after clay mine absorbing water. By deeply researching the granularity fractal characters variation regularity of the slaking material in different slaking stages, a mathematical model to simulate the slaking process of soft rock is established based on fractal concept. Simulation results show that the same developing trend as the experiments results which proves the slaking process of soft rock is typical fractal. According to the results, parameters of the mathematical model can be back analyzed by few experiments data; and the critical value of fractal dimension of soft rock can be calculated. Furthermore the mathematical model can be used to forecast the fractal dimension of swell and collapse in long term.