Evolution of particle disintegration of red sandstone using Weibull distribution

ZHANG Zong-tang; GAO Wen-hua; ZHANG Zhi-min; TANG Xiao-yu; WU Jun

doi:10.16285/j.rsm.2019.0926

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Evolution of particle disintegration of red sandstone using Weibull distribution

更新时间：2026-06-25

- Evolution of particle disintegration of red sandstone using Weibull distribution
- Vol. 41, Issue 3, Pages: 877-885(2020)
- 作者机构：
  
  1. 湖南科技大学资源环境与安全工程学院,湖南,湘潭,411201
  2. 湖南科技大学岩土工程稳定控制与健康监测湖南省重点实验室,湖南,湘潭,411201
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2019.0926
  CLC： TU45
- Online First：25 May 2020，
  
  Published：2020
- 稿件说明：
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ZHANG Zong-tang, GAO Wen-hua, ZHANG Zhi-min, et al. Evolution of particle disintegration of red sandstone using Weibull distribution[J]. 2020, 41(3): 877-885.
DOI：

ZHANG Zong-tang, GAO Wen-hua, ZHANG Zhi-min, et al. Evolution of particle disintegration of red sandstone using Weibull distribution[J]. 2020, 41(3): 877-885. DOI： 10.16285/j.rsm.2019.0926.

摘要

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。

Abstract

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.

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