固结系数的最小二乘法计算

Least square method for the consolidation coefficient evaluation

室内固结试验确定固结系数常用的是时间对数法和平方根法,这两种方法仅利用了试样固结试验中沉降量与时间关系曲线的初始值,利用的数据较少,无法反映固结的全过程。同时由于作图法受到的人为因素影响较大,难以准确确定固结系数,本文采用工程上通用的最小二乘法,通过公式推导,编程得到了固结系数的求解过程,通过计算机运算,从而避免了人为因素的影响,同时也得到了固结的初值和终值。

The consolidation coefficient was an important parameter in geotechnical engineering. To improve the precision of consolidation coefficient, many solutions have been suggested, such as logarithm of time and square root of time methods. However, many solution depends on the initial value of compression curve which and influenced the precision of consolidation coefficient directly. At the same time, only few data were adopted to determine the consolidation coefficient and couldn＇t reflect the complete process of conslidation. So, in the paper, the least square method was adopted to compute the consolidation coefficient with the derived formulae. At the same time, the obtained solution could eliminate personal error and get the initial and final values of conslidation.