Abstract
The assessment and control of ground movements during the installation of large diameter deeply-buried (LDDB) caissons are critically important to maintain the stability of surrounding infrastructures. However, for twin LDDB caissons which have been installed worldwide, no well-documented guidelines for assessing the induced ground movements are available due to the complexities of caisson–soil interaction. To this end, considering the mechanical boundaries of caissons and mechanized installation process, this paper presents a simple kinematic mechanical model balancing both computational cost and accuracy, which can be easily incorporated in commercial finite-element (FE) programs. Based on a project of twin LDDB caissons alternately installed employing a newly developed installation technology in wet ground with stiff clays in Zhenjiang, China, a three-dimensional (3D) numerical model is developed to capture the ground movements in terms of surface settlements and radial displacements induced by the installation of twin LDDB caissons. Moreover, hardening soil model with small-strain stiffness (HSSmall model) conceptually capable of capturing the nonlinear soil stiffness from very small to large strain levels is used to simulate undrained ground. The validations against field observations, empirical predictions and centrifuge test data are carried out to demonstrate the accuracy and validity of the developed FE model. Subsequently, the comparisons of ground movements numerically obtained in three frequently used installation schemes (i.e., synchronous, asynchronous and alternating installation) are conducted for installation sequence optimization of twin caissons. It is found that synchronous installation is the optimal scheme for limiting ground movements. Parametric studies considering the effects of horizontal spacing between twin caissons, staged penetration depth, inner diameter, controllable soil-plugging height, frictional coefficient between caisson–soil interface, as well as cutting edge gradient are thus performed in synchronous installation scheme. Based on an artificial data set generated through FE calculation, the multivariate adaptive regression splines (MARS) model capable of accurately capturing the nonlinear relationships between a set of input variables and output variables in multi-dimensions is used to analyze the sensitivity of caisson design parameters. Finally, the MARS mathematical equations for predicting the maximum surface settlement and radial displacement used in preliminary caisson design are proposed.
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Abbreviations
- \(A_{1}\) :
-
Contact area of leading edge and base soils
- \(A_{2}\) :
-
Contact area of shaft lining and surrounding soils
- \(D_{{{\text{in}}}}\) :
-
Inner and external diameter of open caisson
- H :
-
Shaft depth (total penetration depth)
- \(h_{{\mathrm{p}}}\) :
-
Staged penetration depth
- \(h_{{\mathrm{s}}}\) :
-
Controllable soil-plugging height
- \(n\) :
-
Cutting edge gradient
- \(S\) :
-
Horizontal spacing between twin caissons
- γ :
-
Unit weight
- ω :
-
Water content
- \(\omega_{{\text{L}}}\) :
-
Liquid limit
- \(\omega_{{\text{P}}}\) :
-
Plastic limit
- \(c_{{\text{u}}}\) :
-
Cohesion
- \(S_{{\text{u}}}\) :
-
Undrained shear strength
- \(\phi_{{\text{u}}}\) :
-
Friction angle
- e :
-
Void ratio
- \(E_{0.1{-}0.2}\) :
-
Constrained modulus
- \(K_{{\text{h}}} ,K_{{\text{v}}}\) :
-
Horizontal and vertical permeability coefficients
- \(N_{63.5}\) :
-
SPT below counts
- \(q_{{\text{c}}}\) :
-
Cone resistance of CPT
- \(f_{{\text{s}}}\) :
-
Sleeve resistance of CPT
- \(W\) :
-
Self-weight of caisson shaft
- \(Q\) :
-
End bearing on cutting edge
- \(q_{{\text{u}}}\) :
-
Unit end bearing on cutting edge
- \(F\) :
-
Total penetration resistance
- \(f_{{\text{s}}}\) :
-
Unit skin friction
- \(J\) :
-
Total jacking force
- \(j\) :
-
Jacking force provided by a jack
- \(U\) :
-
Total buoyancy
- \(N_{\gamma } ,N_{q} ,\,{\text{and}}\,N_{{\text{c}}}\) :
-
Bearing capacity factors related to unit weight, surcharge and cohesion
- \(G\) :
-
Shear modulus
- \(G_{0}\) :
-
Maximum shear modulus at a very small strain
- \(\varepsilon\) :
-
Shear strain
- \(\varepsilon_{0}\) :
-
Maximum shear strain
- \(\tau_{\max }\) :
-
Maximum shear stress at failure
- \(G_{0}^{{{\text{ref}}}}\) :
-
Reference shear modulus at very small strains
- \(\gamma_{0.7}\) :
-
Shear strain at which \(G/G_{0} = 0.7\)
- \(c^{\prime}\) :
-
Effective cohesion
- \(\phi^{\prime}\) :
-
Effective frictional angle
- \(E_{0}\) :
-
Young's modulus
- \(E_{50}^{\prime{\text{ref}}}\) :
-
Reference secant stiffness in standard drained triaxial test
- \(E_{{\text{oed}}}^{\prime{\text{ref}}}\) :
-
Reference tangent stiffness for primary oedometer loading
- \(E_{{\text{ur}}}^{\prime{\text{ref}}}\) :
-
Reference unloading/reloading stiffness at engineering strains
- \(\nu_{{\text{ur}}}\) :
-
Poisson ratio
- \(m\) :
-
Power for the stress-level dependency of stiffness
- \(p^{{\text{ref}}}\) :
-
Reference stress for stiffness
- \(R_{{\text{f}}}\) :
-
Failure ratio
- \(\gamma^{\prime}\) :
-
Effective unit weight
- \(K_{0}^{{\text{nc}}}\) :
-
\(K_{0}\) value for normal consolidation
- \(u\) :
-
Frictional coefficient of caisson–soil interfaces
- \(\delta_{{\text{r}}}\) :
-
Radial displacements of surrounding soils
- \(\delta_{{\text{v}}}\) :
-
Ground surface settlement
- \(z\) :
-
Buried depth of soils
- \(x\) :
-
Radial distance to caisson shaft
- \(\delta_{r,\max } ,\delta_{v,\max }\) :
-
Maximum radial displacement and surface settlement
- \(f(x)\) :
-
Optimal equation in MARS model
- \(\beta_{0}\) :
-
Constant in MARS mathematical equation
- \(M\) :
-
Number of basic functions
- \(\lambda_{m}\) :
-
mth basic function
- \(\beta_{m}\) :
-
Coefficient of \(\lambda_{m}\)
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Acknowledgements
This study is supported from the National Key R&D Program of China (Grant No. 2016YFC0800201), National Natural Science Foundation of China (Grant No. 41972269), Fundamental Research Funds for the Central Universities of China (Grant No. 2242019), Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX20_0118) and Scientific Research Foundation of Graduate School of Southeast University (Grant No. YBPY2041). The authors are grateful to Mr. Yingwu Xu (Engineer of Shanghai Foundation Engineering Group Co., Ltd.) for his help in providing the construction information regarding Dagang waterworks project.
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Lai, F., Zhang, N., Liu, S. et al. Ground movements induced by installation of twin large diameter deeply-buried caissons: 3D numerical modeling. Acta Geotech. 16, 2933–2961 (2021). https://doi.org/10.1007/s11440-021-01165-1
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DOI: https://doi.org/10.1007/s11440-021-01165-1