基于分形矩阵模型的堆石料破碎和渗透特性研究

    Research on the Crushing and Permeability Characteristics of Rockfill Materials Based on Fractal Matrix Model

    • 摘要: 级配和渗透系数是影响堆石料工程特性的关键性参数。大坝填筑过程中,振动碾作用下堆石大颗粒不断破碎为小颗粒,致使堆石料级配不断演化,进而导致渗透系数也在不断变化。传统坑测法和单环注水法等由于无法进行不同碾压变数下同测点多次检测,难以深入研究堆石料级配和渗透特性演变规律。本文基于分形矩阵模型开展了不同时长试验振碾加载条件下,堆石料的级配演化和渗透特性研究。首先构建了描述试验级配演化的分形矩阵模型。然后开展玉龙喀什水电站堆石料单粒强度试验。基于同一粒组单粒强度的Weibull分布求取了模量m,通过不同粒组的颗粒破碎耗能特征值,拟合求取了尺寸效应参数。通过筛分各粒组颗粒,拟合级配曲线求取其分形破碎的分形维数。通过模型计算不同振碾时长下堆石料的级配并和试验值对比,验证了模型和参数求取的有效性。通过将破碎参量引入到较新的Kim渗透系数计算公式中,提出了适用于堆石料渗透系数计算的改进Kim渗透系数计算公式,通过和试验值对比,发现新公式计算的渗透系数和试验值有较好的一致性。

       

      Abstract: Grading and permeability coefficient are key parameters that affect the engineering characteristics of rockfill materials(RFMs). During the process of dam filling, the particle breakage leads to the continuous evolution of the gradation of the RFMs, which causes the permeability coefficient to constantly change. Traditional pit testing and single ring water injection method were unable to conduct multiple tests on the same measuring point under different rolling variables, making it difficult to conduct in-depth research on the evolution of gradation and permeability characteristics of RFMs. This paper conducted a study on the gradation evolution and permeability characteristics of RFMs under different durations of vibration and rolling loading conditions based on a fractal matrix model. Firstly, a fractal matrix model was constructed to describe the evolution of experimental gradation. Then, single particle strength tests were carried out on the RFMs of Yulong Kashgar Hydropower Station. The modulus m was calculated based on the Wei bull distribution of single particle strength in the same particle group, and the size effect parameters were got by fitting the characteristic values of particle crushing energy consumption in different particle groups. Then, by screening each particle group and fitting it, the fractal dimension of its fractal fragmentation could be obtained. The effectiveness of the model and parameter calculation were verified by calculating the gradation of the RFMs under different vibration and rolling durations and comparing it with experimental values. By introducing the crushing parameter into the new Kim permeability coefficient calculation formula, an improved formula was proposed, which was suitable for calculating the permeability coefficient of RFMs. The permeability coefficient calculated by the new formula shows good consistency with the experimental values.

       

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