SEMI-ANALYTICAL SOLUTION OF ONE-DIMENSIONAL CONSOLIDATION WITH NON-DARCIAN FLOW CONSIDERING TIME-DEPENDENT LOADING
LI Chuanxun1,2,HU Anfeng1,XIE Kanghe1,WANG Yulin1
(1. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China;2. Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang,Jiangsu 212013,China)
Abstract:A semi-analytical method,combining analytic solution for linear consolidation of layered soils with numerical discretization,is adopted to consider one-dimensional consolidation with non-Darcian flow under time-dependent loading,and semi-analytical solutions for this problem are obtained. The reliability of semi-analytical solutions was verified by comparing semi-analytical solutions to analytical solutions with Darcy?s flow and finite difference solutions with non-Darcian flow. Then consolidation behavior under various parameters is analyzed by a series of computation,and the results show that the parameters of non-Darcian flow have great influence on consolidation behavior;the greater the exponent and critical hydraulic grade,the slower the rate of consolidation;external load and the thickness of soil layer have great influence on consolidation behavior;the larger the load,the faster the rate of consolidation;the thicker the thickness of soil layer,the slower the rate of consolidation. Based on this non-Darcian flow,the similarity relationship that consolidation time is proportional to the square of the thickness of soil layer in classic theory of consolidation is no longer satisfied. The faster the loading rate,the faster the rate of consolidation. Finally,applicability of Darcy?s flow law to one-dimensional consolidation is analyzed.