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提出了一个描述连续级配土的级配方程,研究了方程的基本性质、对不同土体级配曲线的反映能力,验证了方程对各种连续级配土的普适性。研究表明:该级配方程能够描述出双曲线形、反S形和近乎直线等三种典型的土体级配曲线,而且对于黏土、粉土、砂土和粗粒土等不同土料的级配都具有广泛的适用性。方程参数分析得知b主要决定级配曲线的形状,即双曲线形或反S形,而且,当m较小时,曲线很缓,近似于直线。参数m主要决定曲线的倾斜程度,且曲线主体部分的斜率与m成正相关。和Swamee提出的级配方程相比,本文的级配方程有明显的优越性和更宽广的适用性。对6座国内外土石坝人工爆破堆石料的级配研究表明,级配参数b和m大致在-0.28~0.64和0.45~0.75范围。
A gradation equation describing continuous gradation of soil is presented. The basic properties of the equation and the ability to reflect gradation curves of different soils are studied. The universality of the equations for various gradations of soil is verified. The results show that the gradation equation can describe three typical grading curves of hyperbolic, anti-S and near-linear. For grading of clay, silt, sand and coarse grained soil, All have a wide range of applicability. The equation parameter analysis shows that b mainly determines the shape of the gradation curve, that is, hyperbolic or inverse S-shaped, and when m is small, the curve is gentle and approximates a straight line. The parameter m mainly determines the degree of inclination of the curve, and the slope of the main part of the curve is positively related to m. Compared with the gradation equation proposed by Swamee, the gradation equation in this paper has obvious advantages and wider applicability. The grading studies of six earth-rock dam artificial blasting rockfill materials at home and abroad show that grading parameters b and m are in the range of -0.28 ~ 0.64 and 0.45 ~ 0.75.