Analytical Solution for Nonlinear Consolidation Considering Time-Dependent Well Resistance and Lateral Deformation under Vacuum Preloading
Publication: International Journal of Geomechanics
Volume 24, Issue 5
Abstract
The consolidation behavior of a foundation with vertical drains under vacuum preloading is affected by the lateral deformation and well resistance. In this study, a nonlinear consolidation model is developed based on the assumptions of equal volumetric strain and time-dependent well resistance. The model considers the relationships between various factors, such as well resistance, linear attenuation of vacuum pressure, lateral deformation, and simultaneous vertical–radial seepage. An analytical solution of the model is provided, and its universality is verified. Additionally, the effects of different consolidation factors on the average consolidation degree () are analyzed, and the error in calculating without considering a single factor is evaluated. The results indicate that well resistance significantly affects the consolidation rate of soil without vertical seepage, particularly at the later stage of consolidation when the constant parameter A, which represents time-dependent well resistance, exceeds 1.0 × 10−7 (s−1). Not considering the lateral deformation can result in an overestimated soil consolidation rate. For thin layer soils with low liquid limits, the effects of the consolidation factors on are ranked as follows: cc/ck (ratio of compression index to permeation index) > kv (vertical permeability coefficient) > v (Poisson’s ratio) > k1 (attenuation residual coefficient of vacuum pressure) > qw (discharge capacity of prefabricated vertical drains).
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grant No. 52178347), Project ZR2021ME068 supported by the Shandong Provincial Natural Science Foundation, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University (Grant No. 2021006), and the Excellent Doctor Young Teacher Support Program of Weifang University, Scientific Research Foundation of Weifang University (Grant No. 2021BS32).
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International Journal of Geomechanics
Volume 24 • Issue 5 • May 2024
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© 2024 American Society of Civil Engineers.
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Received: Mar 23, 2023
Accepted: Nov 5, 2023
Published online: Feb 28, 2024
Published in print: May 1, 2024
Discussion open until: Jul 28, 2024
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