基于Weibull分布的红砂岩颗粒崩解破碎演化规律

红砂岩在我国分布广泛,由于含水率的变化使其崩解破碎十分显著。采用湖南株洲地区的红砂岩样,进行室内静态与扰动崩解试验。基于Weibull分布建立了红砂岩颗粒崩解破碎级配曲线演化模型,分析了模型参数λ与k的意义。分析表明,Weibull分布参数λ与k的大小及变化速率体现了红砂岩颗粒崩解破碎的演化过程。在建立模型的基础上,求得了相对崩解比的计算公式,并验证了计算公式的正确性。依据试验结果与模型计算值,讨论了耐崩解性指数与崩解比的异同及所采用试验方法的不同对试验结果造成的影响。在已有成果的基础上,验证了Weibull分布模型应用于岩石颗粒崩解破碎演化过程的可行性。

Evolution of particle disintegration of red sandstone using Weibull distribution

Red sandstone is widely distributed in China, and its disintegration is very significant due to changes in water content. The red sandstone samples from Zhuzhou area of Hunan Province were used to conduct laboratory static and disturbed disintegration tests. Then, an evolution model of gradation curve of particle disintegration of red sandstone was established based on the Weibull distribution, and the model parameters λ and k were analyzed, the value and change rate of the two parameters reflect the evolutionary process of particle disintegration and breakage of red sandstone. Moreover, on the basis of established model, the calculation formula of the relative disintegration ratio was obtained, and the correctness of the formula was verified. Furthermore, according to the test results and the values of model calculation, the similarities and differences between the slaking durability index and the disintegration ratio, and the effects of different test methods on the test results were discussed. Finally, the feasibility of application of Weibull distribution model to the evolution of rock particle disintegration is verified based on the existing researches.