描述连续级配曲线的级配方程及其适用性

Grading Equations Describing Continuous Grading Curves and Its Applicability Graded Soil

土的颗粒级配对研究土物理力学性质有重要作用,许多学者通过建立级配方程来描述土体级配曲线,但建立的级配方程都具有一定的局限性。对负指数分布累积分布函数进行变形,建立了一个可以准确定量描述连续级配曲线的级配方程。研究新方程对不同土体级配曲线的反映能力,并验证了该方程对各种连续级配土的适用性。结果表明,该级配方程可以反映3种典型的土体级配曲线,并且对于黏土、粉土、砂土和粗粒土等不同土料的级配曲线都能较好的描述。将新级配方程与已有级配方程对比研究,发现新级配方程对试验土及已有文献中级配均拟合较好,具有较强的适用性。

The particle gradation of soil plays an important role in the study of soil physical and mechanical properties,and the industry currently describes the soil gradation curve by establishing gradation equations,but the established gradation equations all have certain limitations.By deforming the cumulative distribution function of negative exponential distribution,a grading equation that can accurately and quantitatively describe the continuous grading curve is established.The ability of the new equation to reflect the grading curves of different soils is investigated,and the applicability of the equation to various continuous graded soils is verified.The results show that the grading equations can reflect the three typical soil grading curves,and the grading curves of different soils such as clay,silt,sand and coarse-grained soil can be better described.Comparing the new grading equation with the existing grading equations,it is found that the new grading equation fits the grading of the test soils and the existing gradation in the literature better,and has strong applicability.