Three-Dimensional and Two-Dimensional Stability Analysis of Bentonite Slurry Trenches Using a Shear Strength Reduction Technique and Limit Equilibrium Methods  
[PERSON]  
1  
[PERSON]  
2 Faculty of Civil Engineering & Resource Management, AGH University of Krakow, 30-099 Krakow, Poland;  
1  
[PERSON]  
3 Faculty of Civil Engineering & Resource Management, AGH University of Krakow, 30-099 Krakow, Poland;  
1  
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stabilising mechanism of a slurry trench excavation in soft clay under normal consolidation is presented in [9]. [PERSON] [10] presented Coulomb-type force equilibrium analyses for general 2D and 3D stability of a slurry-supported trench. This solution considered variable trench depth, length, slurry depth, groundwater table elevation, surcharge loading, tension crack depth, and fluid level in the tension cracks.  
Numerical simulations of soil displacements and stability analysis for the trench excavation process using the FLAC3D software are presented and discussed in [11; 12]. The interesting concept of the horizontal slice method for stability analysis of slurry trenches, allowing for the consideration of soil stratification, is presented in [13]. A 2D and 3D kinematically admissible rotational failure mechanism for homogeneous slurry trenches in frictional/cohesive soils is introduced in [14]. [PERSON] et al. [15] presented the limit equilibrium solution for the stability of a slurry-supported trench, assuming the rotational 3D failure mechanism. Three-dimensional numerical calculations accompanied by limit equilibrium theory were also applied to estimate slurry trench stability analysis by [PERSON] and [PERSON] [16]. A very interesting example of 3D stability analysis of a trench located in soil with a weak soil layer solved with FLAC3D and limit analysis is presented by [PERSON] and [PERSON] [17].  
[PERSON] and [PERSON] [18] analysed slurry-supported trenches in horizontally layered cohesive-frictional soils using the 2D kinematical approach of limit analysis and compared the results with those obtained from Shear Strength Reduction using the finite element method. A 3D trench stability analysis in non-uniform undrained clay adopting the kinematic approach of limit analysis was presented by [PERSON] et al. [19]. [PERSON] et al. [20] presented a modified 3D failure mechanism of trench walls, introducing nonlinear characteristics and soil non-homogeneity into the theoretical calculation. [PERSON] et al. [21] proposed an instability model for a double-angled trench wall based on a 3D sliding body and verified it numerically with FLAC3D.  
The cited works apply selected stability analysis methods to specific cases. In this study, for the real conditions in Hue City (Vietnam), the results of a comprehensive stability analysis for slurry trench walls in both 2D and 3D configurations are presented. This analysis utilises limit equilibrium methods (Bell-Washbourne and Bishop) and numerical simulations based on the Shear Strength Reduction Technique.