Solution of Terzaghi one-dimensional consolidation equation with general boundary conditions  

作　　者：MEI Guo-xiong CHEN Qi-ming 

机构地区：[1]College of Transportation Engineering, Nanjing University of Technology, Nanjing 210009, China [2]Louisiana Transportation Research Center, Louisiana State University, Baton Rouge 70808, USA

出　　处：《Journal of Central South University》2013年第8期2239-2244,共6页中南大学学报（英文版）

基　　金：Foundation item： Project（50608038） supported by the National Natural Science Foundation of China

摘　　要：Boundary conditions for the classical solution of the Terzaghi one-dimensional consolidation equation conflict with the equation＇s initial condition. As such, the classical initial-boundary value problem for the Terzaghi one-dimensional consolidation equation is not well-posed. Moreover, the classical boundary conditions of the equation can only be applied to problems with either perfectly pervious or perfectly impervious boundaries. General boundary conditions are proposed to overcome these shortcomings and thus transfer the solution of the Terzaghi one-dimensional consolidation equation to a well-posed initial boundary value problem. The solution for proposed general boundary conditions is validated by comparing it to the classical solution. The actual field drainage conditions can be simulated by adjusting the values of parameters b and c given in the proposed general botmdary conditions. For relatively high coefficient of consolidation, just one term in series expansions is enough to obtain results with acceptable accuracy.Boundary conditions for the classical solution of the Terzaghi one-dimensional consolidation equation conflict with the equation's initial condition. As such, the classical initial-boundary value problem for the Terzaghi one-dimensional consolidation equation is not well-posed. Moreover, the classical boundary conditions of the equation can only be applied to problems with either perfectly pervious or perfectly impervious boundaries. General boundary conditions are proposed to overcome these shortcomings and thus transfer the solution of the Terzaghi one-dimensional consolidation equation to a well-posed initial boundary value problem. The solution for proposed general boundary conditions is validated by comparing it to the classical solution. The actual field drainage conditions can be simulated by adjusting the values of parameters b and c given in the proposed general boundary conditions. For relatively high coefficient of consolidation, just one term in series expansions is enough to obtain results with acceptable accuracy.

关 键 词：CONSOLIDATION boundary condition pore water pressure consolidation degree 

分 类 号：O241.82[理学—计算数学] TU471.8[理学—数学]