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 new gradation equation which can be used to describe continuous gradation is put forward. Basic properties and reflection ability for different soils of the equation are studied, and general applicability of the equation is validated. The study shows that the equation can describe three typical soil gradation curves which are hyperbola, reversed S-shaped and approximate straight line shape, and has a wide applicability of clay, silt, sand and coarse-grained soil. The shape of gradation curve is determined by parameter b, namely hyperbola or reversed S-shaped, and when m is small, the curve is similar to a straight line. The slope of the curve is mainly determined by parameter m, and increases with the increase of m. The equation has more obvious advantages and broader applicability than Swamee's. Gradation curves of artificial blasting rockfill material from six earth-rock dams at home and abroad are studied, indicating that the range of parameters is roughly-0.28b0.64 and 0.45m0.75.