Axisymmetric Consolidation in Unsaturated Soil Deposit Subjected to Time-Dependent Loadings

作者: Liem Ho , Behzad Fatahi

DOI: 10.1061/(ASCE)GM.1943-5622.0000686

关键词:

摘要: AbstractThis paper presents an analytical solution to predict the axisymmetric consolidation in unsaturated soil deposits subjected different time-dependent loadings. The mathematical procedure uses separation of variables and Laplace transformation methods obtain final solution. A set polar governing equations flow are obtained presented under partial differential (PDEs), then variable technique is used alter PDEs ordinary (ODEs) consisting distinctive variables. Fourier Bessel sine series present functions radial vertical flows, respectively, a function time. Four primary loading functions, including ramping, asymptotic, sinusoid, damped wave, mathematically simulated incorporated into proposed solutions. This study investigates changes excess pore-air pore-water pressures as well consolidatio...

参考文章(36)
D G Fredlund, THE SCOPE OF UNSATURATED SOIL MECHANICS: AN OVERVIEW PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON UNSATURATED SOILS/UNSAT '95/PARIS/FRANCE/6-8 SEPTEMBER 1995. VOLUME 3. ,(1996)
Mengmeng Lu, Shanyong Wang, Scott W. Sloan, Buddhima Indraratna, Kanghe Xie, Nonlinear radial consolidation of vertical drains under a general time‐variable loading International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 39, pp. 51- 62 ,(2015) , 10.1002/NAG.2295
L. Ho, B. Fatahi, H. Khabbaz, Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 38, pp. 1058- 1077 ,(2014) , 10.1002/NAG.2248
Ali Parsa-Pajouh, Behzad Fatahi, Hadi Khabbaz, Experimental and Numerical Investigations to Evaluate Two-Dimensional Modeling of Vertical Drain–Assisted Preloading International Journal of Geomechanics. ,vol. 16, ,(2016) , 10.1061/(ASCE)GM.1943-5622.0000507
DG Fredlund, H Rahardjo, Darkshanamurthy, Coupled Three-dimensional Consolidation Theory of Unsaturated Porous Media Proceedings of the Fifth International Conference on Expansive Soils, Adelaide, South Australia, 21-23 May, 1984.. pp. 99- ,(1984)
Wan-Huan Zhou, Lin-Shuang Zhao, Xi-Bin Li, A simple analytical solution to one-dimensional consolidation for unsaturated soils International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 38, pp. 794- 810 ,(2014) , 10.1002/NAG.2231
L. Ho, B. Fatahi, H. Khabbaz, A closed form analytical solution for two‐dimensional plane strain consolidation of unsaturated soil stratum International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 39, pp. 1665- 1692 ,(2015) , 10.1002/NAG.2369
Eo C Childs, N Collis-George, The permeability of porous materials Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 201, pp. 392- 405 ,(1950) , 10.1098/RSPA.1950.0068
Zhendong Shan, Daosheng Ling, Haojiang Ding, Analytical solution for the 1D consolidation of unsaturated multi-layered soil Computers and Geotechnics. ,vol. 57, pp. 17- 23 ,(2014) , 10.1016/J.COMPGEO.2013.11.009