%0 Journal Article
%A HUANG Chao-xuan
%T Simplified Solution of One-dimensional Nonlinear Consolidation of Soft Soil Foundation
%D 2018
%R 10.11988/ckyyb.20170675
%J Journal of Yangtze River Scientific Research Institute
%P 90-95
%V 35
%N 12
%X The relative error of  the approximated solution of differential equation of one-dimensional nonlinear consolidation of saturated soft soil is quite large. In the light of one-dimensional nonlinear consolidation theory of saturated soft soil foundation, a dimensionless nonlinear consolidation control equation is given in consideration of the influences of nonlinear changes of soft soil’s permeability coefficient and compressibility in the consolidation process, and the weighting factor <i>λ</i> is incorporated to simplify the nonlinear partial differential equation to a linear equation, where the weighting factor <i>λ</i> is a fractional number (0 &lt;<i>λ</i> &lt;1), and a simplified analytic solution considering the weighting factor <i>λ</i> is given in conjunction with the boundary condition. Calculation by MatLab reveals that the Lekha approximation method is the special case of the weighting factor <i>λ</i>=0.5 in this paper. The maximum relative error of the approximate solution and the difference method of Lekha is as high as 19%. By using the simplified solution of the variable weight <i>λ</i>, higher accuracy can be achieved. The proposed simplified solution in this paper is convenient to be applied to engineering practice.
%U http://ckyyb.crsri.cn/EN/10.11988/ckyyb.20170675