Rheological Consolidation of Partially Penetrated Deep Mixed Column-Reinforced Soft Soil under Rigid Foundation
Publication: International Journal of Geomechanics
Volume 22, Issue 5
Abstract
Deep mixed (DM) columns are being increasingly used in regions that host thick saturated soft clays. Under such geotechnical conditions, partially penetrated DM columns are predominantly designed to improve shallow foundations. Ground settlement can develop gradually over decades, however, due to the consolidation and rheological behavior of the subsoil. This work developed an analytical solution for calculating the rheological consolidation of partially penetrated DM-column-reinforced ground under a rigid foundation following the rheological Burger’s model. Based on the equal strain assumption, the consolidation problem was converted into a simple problem of one-dimensional consolidation with a double-layered system. The derived solution revealed that the reduction in column permeability to less than 10% of the soil permeability had a minor influence on the consolidation rate. The consolidation rate increased slowly with increasing penetration depth.
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Acknowledgments
The authors appreciate the financial support provided by the Natural Science Foundation of China (NSFC) (Grant Nos. 41772281, 51508408, and 41972272) and the Key Research and Development Project of the Chinese Ministry of Science and Technology (Grant No. 2016YFE0105800).
Notation
The following symbols are used in this paper:
- ai, bi, ci, di, θi, λi, xi, yi, ξi
- variable used in derivation;
- Cv1, Cv2
- equivalent consolidation coefficient of Regions I and II, respectively;
- Ec0, Ec1, ηc0, ηc1
- parameters used in Burger’s model of the DM column;
- Ecomp0, Ecomp1, ηcomp0, ηcomp1
- parameters used in Burger’s model of composite soil;
- ɛv
- vertical strain;
- Es0, Es1, ηs0, ηs1
- parameters used in Burger’s model of soft soil;
- γw
- unit weight of water;
- h1, h2, H
- thicknesses of Region I, Region II, and the analyzed unit cell, respectively;
- kvs, khs, kvc, khc
- vertical and horizontal permeability of the soil and DM column, respectively;
- P(t)
- applied vertical load;
- re, rc
- radius of influence zone and DM column, respectively;
- , ,
- average effective load on the ground, DM column, and soft soil, respectively;
- initial excess pore water pressure at depth z;
- overall average degree of consolidation of composite ground; and
- , ,
- average excess pore water pressure on the ground, DM column, and soft soil, respectively.
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History
Received: Jan 6, 2021
Accepted: Dec 27, 2021
Published online: Mar 4, 2022
Published in print: May 1, 2022
Discussion open until: Aug 4, 2022
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Cited by
- Fengrui Rao, Yan Xu, Zhen Zhang, Guanbao Ye, Tianxiong Chen, Analytical Solution for Consolidation of Soft Soil with Partially Penetrated Stiffened Deep-Mixed Columns under an Embankment, International Journal of Geomechanics, 10.1061/IJGNAI.GMENG-9281, 24, 6, (2024).