Single-parameter gradation equation for coarse-grained soil and its applicability

WU Er-lu; ZHU Jun-gao; WANG Long; CHEN Ge

doi:10.16285/j.rsm.2019.0565

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Single-parameter gradation equation for coarse-grained soil and its applicability

更新时间：2026-06-25

- Single-parameter gradation equation for coarse-grained soil and its applicability
- Vol. 41, Issue 3, Pages: 831-836(2020)
- 作者机构：
  
  1. 河海大学岩土力学与堤坝工程教育部重点实验室,江苏,南京,210098
  2. 河海大学江苏省岩土工程技术工程研究中心,江苏,南京,210098
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2019.0565
  CLC： TV41
- Online First：25 May 2020，
  
  Published：2020
- 稿件说明：
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WU Er-lu, ZHU Jun-gao, WANG Long, et al. Single-parameter gradation equation for coarse-grained soil and its applicability[J]. 2020, 41(3): 831-836.
DOI：

WU Er-lu, ZHU Jun-gao, WANG Long, et al. Single-parameter gradation equation for coarse-grained soil and its applicability[J]. 2020, 41(3): 831-836. DOI： 10.16285/j.rsm.2019.0565.

摘要

提出了一个适用于描述粗粒料连续级配的单参数级配方程，研究了方程的基本性质，分析了方程对连续级配粗粒料两种典型级配曲线的反映能力，利用多个土石坝工程粗粒料级配曲线验证该方程的适用性，推导了方程表示良好级配的参数范围。结果表明：提出的级配方程能够描述反S形和双曲线形两种典型的粗粒料级配曲线。方程参数? 的范围为(0，1)，当? 值较小时，方程表示的级配曲线为双曲线形；当? 值较大时，方程表示的级配曲线为反S形。提出的级配方程对土石坝工程中各种粗粒料的级配具有较好的适用性。与分形级配方程和连续级配方程相比，该单参数级配方程更具有实用价值。当? >0.13时，方程表示的级配为良好级配，该范围的确定可以为筑坝粗粒料的级配设计提供依据。

Abstract

A gradation equation with one parameter is derived to describe continuous gradation of coarse-grained soil. The basic properties of the gradation equation are studied

and the ability of the gradation equation to reflect two typical gradation curves of continuous gradation is analyzed. The applicability of the gradation equation is verified by several gradation curves of coarse-grained soil used in earth-rock dam engineering

and the range of ? deduced for the gradation is well represented. The study shows that the gradation equation can reflect the two typical hyperbolic and sigmoidal

gradation curves. The range of gradation parameter is 0–1. the curve gradation equation expresses is hyperbolic for small value of the parameter

and is sigmoidal for large value of the parameter. The gradation equation widely applies for gradations of different coarse-grained soils used in earth-rock dam

and it is more practical than fractal gradation equation and continuous gradation equation. The equation parameter greater than 0.13 implies well representation of the gradation

which provides a basis for the gradation design of coarse-grained soil for earth-rock dam.

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