毛细滞回内变量模型的高效数值积分方法

李文涛; 韦昌富; 马田田

doi:10.3879/j.issn.1000-0887.2013.08.010

毛细滞回内变量模型的高效数值积分方法

doi: 10.3879/j.issn.1000-0887.2013.08.010

中国科学院武汉岩土力学研究所,岩土力学与工程国家重点实验室,武汉 430071

基金项目: 国家自然科学基金资助项目（11072255）；广西自然科学基金资助项目（2011GXNSFE018004）

详细信息

作者简介:
李文涛(1989—),男,山东青岛人,博士生(E-mail:lwtdn@sina.com);韦昌富(1965—),男,广西宁明人,研究员,博士生导师(通讯作者.E-mail: cfwei@whrsm.ac.cn).

中图分类号: TU411; O348
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出版历程
- 收稿日期: 2013-05-20
- 修回日期: 2013-06-05
- 刊出日期: 2013-08-15

An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model

State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences,Wuhan 430071, P.R.China

摘要

摘要: 毛细滞回内变量模型是基于热动力学基本原理推导出来的土水特征本构模型，能够有效地描述干湿循环情况下非饱和土中的毛细滞回现象．研究了该模型的形式特点和数值积分方法，就经典的Euler法、4阶Runge-Kutta法和4阶Adams-Bashforth法的积分效果进行了对比．计算结果表明，Euler法精度很低，累计误差较大；4阶Adams-Bashforth法精度最高，且运算效率高于同阶的Runge-Kutta法，适合对该模型进行求解和参数标定．将基于Adams-Bashforth法的子程序集成到有限元程序中，两相渗流模拟结果的精度有了较大提高．
- 毛细滞回 /
- 内变量 /
- 数值积分 /
- 两相流 /
- 非饱和土
Abstract: Derived from thermo dynamic principle, the capillary hysteresis internal variable model is capable of describing the capillary hysteretic phenomena in unsaturated soils. The mathematical characteristics of this model were studied, followed by a numerical experimentation with classical Euler method, fourth-order Runge-Kutta method and fourth-order Adams-Bashforth method. The results show that Euler method has lower accuracy and larger accumulated error, whereas Adams-Bashforth method holds the upper most accuracy and the better efficiency compared with the same order Runge-Kutta method and is suitable for the solution and calibration of the internal variable model. Moreover, Adams-Bashforth method is implemented into the finite element programme, leading to more accurate results in simulation of two-phase flow.
- capillary hysteresis /
- internal variable /
- numerical integration /
- two-phase flow /
- unsaturated soil

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参考文献(14)

[1]	Hillel D. Fundamentals of Soil Physics [M]. New York: Academic Press Inc, 1980.
[2]	Huang H C, Tan Y C, Liu C W, Chen C H. A novel hysteresis model in unsaturated soil[J]. Hydrological Processes,2005,19(8): 1653-1665.
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毛细滞回内变量模型的高效数值积分方法

doi: 10.3879/j.issn.1000-0887.2013.08.010

作者简介:
李文涛(1989—),男,山东青岛人,博士生(E-mail:lwtdn@sina.com);韦昌富(1965—),男,广西宁明人,研究员,博士生导师(通讯作者.E-mail: cfwei@whrsm.ac.cn).

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An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model

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毛细滞回内变量模型的高效数值积分方法

doi: 10.3879/j.issn.1000-0887.2013.08.010

作者简介: 李文涛(1989—),男,山东青岛人,博士生(E-mail:lwtdn@sina.com);韦昌富(1965—),男,广西宁明人,研究员,博士生导师(通讯作者.E-mail: cfwei@whrsm.ac.cn).

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An Efficient Numerical Integration Method for the Capillary Hysteresis Internal Variable Model

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出版历程

目录

作者简介:
李文涛(1989—),男,山东青岛人,博士生(E-mail:lwtdn@sina.com);韦昌富(1965—),男,广西宁明人,研究员,博士生导师(通讯作者.E-mail: cfwei@whrsm.ac.cn).