太沙基三维固结方程在一维情况下精确解的物理意义解释

Physical Meaning Interpretation of Accurate Solution for Terzaghi's Three-dimensional Consolidation Equation under One-dimensional Condition

通过建立太沙基一维固结理论体系下位移与孔隙水压力的耦合方程,说明能否体现位移和孔压的耦合关系并不是比奥固结理论优于太沙基固结理论的方面,耦合方程的真正价值在于充当了求解具有更多未知数的比奥固结方程的必要数学条件。相关成果有利于更好地理解固结方程及相关问题的本质,推进固结方程的应用。

The coupling equations of displacement and pore water pressure in Terzaghi＇s one-dimensional consolidation theory are established here.It is showed that the solving of Biot＇s consolidation equation would depend on such coupling relationship,but it is not the superiority of Biot＇s theory compared with Terzaghi＇s theory.The true meaning of the coupling equations is to play the part of the necessary mathematical condition for solving Biot＇s consolidation equation with more unknowns.The relevant achievement could contribute to a better understanding on the essence of the consolidation equations and related issues,and promote the application of them.