THE APPLICATION OF THE FINITE ELEMENT METHOD TO SOLVING BIOT’S CONSOLIDATION EQUATION

Biot’s theory of consolidation of saturated soil regards the con-solidation process as a coupling problem between stress of elas-tic body and flow of fluid existing in pores.It can moreprecisely reflect the mechanism of consolidation than Terzhi-gi’s theory.In this article,we obtain the general Biot’sfinite element equations of consolidation with classical varia-tional principles.The equations have clear physical meaningand have been applied to analysing the consolidation of Bajia-zui earth dam.The computational results are in accord withengineering practice.     

解Biot固结方程的有限元方法

饱和土固结的Biot理论[1]将固结过程作为一个弹性体应力和孔隙流流动的耦合问题,和Terzhigi理论[2]相比,它更能确切地反映固结机理.本文用经典变分原理导得固结问题一般的Biot有限元方程,具有明确的物理意义.这一结果已用来分析巴家咀土坝的固结过程,计算结果和工程实践一致.