Semianalytical Solution for Evaluating Viscoelastic Consolidation of Saturated Soils with Overlying Dry Layers
Publication: International Journal of Geomechanics
Volume 20, Issue 9
Abstract
Saturated soils with overlying dry layers are frequently encountered in geotechnical engineering. In urban construction works, the underground water level is usually influenced by the extraction of water or complex fluid for industrial uses or oil exploitation tasks. The creep and consolidation behavior of saturated soils with overlying dry layers is drastically different from that of completely saturated soils. This paper presents an investigation on the creep and consolidation behavior of the layered saturated soils with overlying dry layers under the vertical load. With the aid of the Laplace–Hankel transform, typical viscoelastic models (e.g., the Kelvin, the Maxwell, or the standard linear solid model), and the correspondence principle, a semianalytical solution is presented for this investigation. Detailed comparisons between the present results with the published numerical and analytical results are given to confirm the solution, followed by an extensive parametric study examining the effect of types of viscoelastic models, thickness of the overlying layer, and viscosity. This paper aims to present a semianalytical solution to describe the time-dependent consolidation of layered saturated soils with the overlying layer accurately and to provide useful implications for foundation design on those soils.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
The authors acknowledge the support of the National Natural Science Foundation of China (No. 51708494) and Fundamental Research Funds for the Central Universities (No. 2020QNA4032). The support from Prof. Z. Y. Ai at Tongji University on the development of the ALEM is highly appreciated.
Notation
The following symbols are used in this paper:
- E
- Young's modulus (in kPa);
- G
- shear modulus (in kPa);
- k
- permeability coefficient (in m/s);
- p
- excess pore-water pressure (in kPa);
- s
- Laplace transform parameter with respect to t;
- t
- time (in s);
- ui
- displacement in the i-direction (in m);
- flexibility coefficients of the i-direction in HT and LT domains;
- v
- Poisson's ratio;
- γw
- pore-water unit weight (in kN/m3);
- δij
- Kronecker delta;
- ɛij
- strain tensors;
- ɛkk
- volumetric strain;
- λ
- Lamé modulus (in kPa);
- ξ
- Hankel transform parameter with respect to r;
- σii
- normal stress in the i-direction (in kPa); and
- σrz
- shear stress (in kPa).
Symbols
- gradient operator; and
- .
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Published In
International Journal of Geomechanics
Volume 20 • Issue 9 • September 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Oct 31, 2019
Accepted: Apr 15, 2020
Published online: Jun 17, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 17, 2020
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