饱和粘性土地基的固结

一般情况下，地基土是由固相、液相、气相三相组成，而饱和粘性土地基则只由固相和液相两相组成，研究其固结，也就是要研究其在上部结构荷载作用下，地基中孔隙水压力的分布情况，以及它怎样随着时间与空间坐标而变化的关系．现结合土体变形的基本概念、土的渗透定律和土的压密定律，勾勒数学模型，深入分析其间变形微观关系，建立偏微分方程，运用数学物理方法，通过严密数学分析，求解得出用富里哀级数表达的关系式．

Foundation consolidation of saturated clay

As a rule, the soil of foundations consists of three facies: solid, liquid and gases. While the saturation clay of foundations consists of only solid and liquid facies. Dealing with its solidification, we must research into the distribution of the porous pressure in the foundations under the loading action of upper structure and how it changes with the time and space. Based on the basic concept of the deformation of soil structure, the law of permeability and the law of pressure and density, I draw the outline of mathematical model and then further analyze the micro-relation of the deformation between them, to form the patial differential equation. By means of the mathematical-physics, along with the close mathematical analysis, we can find the solution of the related formula expressed by Fourier series.