一般边界条件下非饱和多孔介质一维瞬态响应解
One-Dimensional Transient Response Solution of Incompressible Unsaturated Porous Media with General Boundary Conditions
杨相如 1卜力平 1陈雪梅 2赵云2
作者信息
- 1. 福建船政交通职业学院,福建 福州 350007
- 2. 河南工业大学 土木工程学院,河南 郑州 450001
- 折叠
摘要
假定固体颗粒、干相流体和湿相流体均不可压缩,考虑惯性、黏滞和机械耦合作用,通过总应力σ和固体绝对位移u、孔隙流体压力p和流体相对位移w线性组合的方式,提出可描述不同边界情况的一般性边界条件.基于Zienkiewicz等提出基本方程,建立以固体绝对位移u表示的单层不可压缩非饱和多孔介质波动方程,采用分离变量、特征值与特征函数、待定系数等方法推导得到了该问题的解析解答.最后,与现有文献精确解对比验证本文解答的正确性,分析了压缩波的响应特性以及不同透水条件对压缩波的影响,结果表明,不可压缩非饱和多孔介质内部仅能观测到一类压缩波,且透水程度与压缩波响应程度呈正比.
Abstract
Based on Zienkiewicz's wave equation for unsaturated porous media,assuming that both solid particles and liquid are in-compressible,and considering the effects of inertia,viscosity and mechanical coupling,a mathematical model for one-dimensional tran-sient response of single-layer unsaturated porous media were established with general boundary conditions by linear combining total stress,fluid pressure,displacement of solid and fluid relative displacement.Firstly,the one-dimensional wave equation expressed by solid abso-lute displacement u is solved by the method of variable separation,eigenvalue and eigenfunction,and undetermined coefficient.Then the transient response results of incompressible unsaturated porous media were obtained by software programming.Finally,the results are used for analyzing the effect with different permeability conditions in this kind of porous media after being verified by comparing with previous literatures.
关键词
多孔介质/瞬态响应/不可压缩/非饱和Key words
porous media/transient response/incompressible/unsaturated引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据