考虑级配多样性的颗分试验取样质量理论研究

Theoretical determination of the sieving mass by the gradation diversity

颗粒分析试验被广泛应用于土木、水利水电和采矿等诸多工程中,以确定材料的颗粒级配。但对于工程中常见的超大粒径填料合理取样质量问题,尚缺少可依据的文献资料。将试样选取视为一种分层抽样过程,结合抽样分析理论,建立了能够确定样本容量的理论公式;考虑到颗粒材料平均粒径与其级配分布的关系,提出了一种为确定材料整体级配所需试样质量的通用方法。对不同级配分布情况开展了针对性试验,验证了所提出方法的适用性。并将该方法应用于确定重庆江北机场和贵州龙洞堡机场填料的颗粒级配,取得了良好效果。所得结果可为相关工程实践及规范的发展和完善提供参考。

Grain-size analysis is widely used to determine the particle size distribution(PSD) of materials in civil engineering, water conservancy and hydropower, and mining. However, there is limited information on the reasonable sample mass of super large-size fillers commonly used in engineering. Based on the theory of stratified sampling, a theoretical formula was established to obtain the sample capacity. A general method for determining the sample mass in the sieving test was proposed by considering the relationship between the average particle size of granular materials and its particle size distribution. Targeted tests were carried out to study the distributions of different gradations, and the reliability of the method was validated. The method was applied to determine the particle size distribution of the fillers used in Chongqing Jiangbei airport and Guizhou Longdongbao airport. Therefore, the proposed method provides references for the development and improvement of relevant engineering practices and specifications.