Gradation equation of coarse-grained soil and its applicability

Abstract

Gradation equation is one way to describe the gradation of coarse-grained soil conveniently, exactly and quantitatively. With the gradation equation, the influence of gradation on the mechanical behaviors of coarse-grained soil can be expressed quantitatively. A new gradation equation with a parameter is proposed. The basic properties and applicability of the new equation are studied. The results show that the proposed equation has the applicability to express coarse-grained soil gradation (CSG), and the range of the parameter β is found to be 0<β<1. The value of ß determines the gradation curve shape. If p>0.5, the gradation curve is sigmoidal, otherwise the gradation curve is hyperbolic. For well graded gradations, the parameter has the value of 0.13<β<1. Several CSGs used in domestic and foreign earth-rockfill dams are probed, and the value of the parameter p falls in the range of 0.18 to 0.97. The investigation of the range of β is of value to guide the design for CSG of earth-rockfill dam.

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