基于化学反应动力学方程的一维膨胀时程模型

doi:10.11779/CJGE202004017

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摘要基于膨胀土的微观膨胀机理,利用二级化学反应动力学方程推导出膨胀土的两种膨胀时程模型：双曲线模型和Logistic模型。前者为两参数模型,其参数物理意义明确;后者为三参数模型,尚有物理意义不明确的参数。通过室内一维膨胀率试验研究了初始含水率和干密度对膨胀时程曲线的影响规律,并对两个模型进行比较。结果表明：①双曲线模型与Logistic模型均能准确地描述膨胀时程曲线;②双曲线模型还可进一步用于预测不同初始含水率和干密度下的膨胀时程曲线;③预测曲线与试验数据具有较好的一致性,且参数的校正过程简单,便于工程应用。推导的膨胀时程模型对于描述膨胀土浸水饱和过程中的体变演化规律具有重要的理论意义。

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	邹维列
	叶云雪
	韩仲

关键词 ：膨胀土, 微观膨胀机理, 膨胀时程, 动力学方程, 模型

Abstract：Two models for describing the evolution of one-dimensional expansion of expansive soils with time are derived based on the second-order chemical reaction kinetic equation, namely, hyperbolic model and Logistic model. The former has two parameters which have clear physical meanings, while the latter has three parameters among which one has an unclear physical meaning. One-dimensional swelling tests on the specimens with different initial water contents and dry densities are conducted to obtain swelling strain-time curves, and the fitting effects using the two models are compared. The results show that both models can accurately describe the swelling strain-time curves. Moreover, the hyperbolic model can also be used to predict the expansion time-history curves of the specimens with different initial water contents and dry densities. The predicted curves have good consistency with the experimental data, and the parameter correction process is simple, which is convenient for engineering applications. The expansion time-history model deduced in this study has important theoretical significance for describing the evolution laws of volume change of expansive soils during the process of water immersion saturation.

Key words： expansive soil microscopic expansion mechanism time-dependence of swelling kinetic equation model

收稿日期: 2019-05-24

ZTFLH:

TU435

基金资助:国家自然科学基金项目（51779191）;国家自然科学基金青年基金项目（51809199）

通讯作者: *（E-mail: zhong.han@whu.edu.cn）

作者简介: 邹维列(1969— ),男,教授,博士生导师,从事非饱和土特性、土工合成材料应用和道路岩土工程等方面的教学和研究。E-mail: zwilliam@whu.edu.cn。

引用本文:

邹维列, 叶云雪, 韩仲. 基于化学反应动力学方程的一维膨胀时程模型[J]. 岩土工程学报, 2020, 42(4): 737-744. ZOU Wei-lie, YE Yun-xue, HAN Zhong. Chemical reaction kinetics based models for describing evolution of one-dimensional expansion with time. Chinese J. Geot. Eng., 2020, 42(4): 737-744.

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http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/10.11779/CJGE202004017 或 http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/Y2020/V42/I4/737

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