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

来源 :第八届全国青年岩土力学与工程会议暨青年华人岩土工程论坛 | 被引量 : 0次 | 上传用户:zuguangle
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  Boundary conditions for the classical solution of the Terzaghi one-dimensional consolidation equation conflict with the equations 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.
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