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<p>This study systematically investigates the stability of slurry trenches in single-layered frictional-cohesive soils. A perturbation-based method employing three-dimensional rigid translational moving elements is integrated with the shear strength reduction technique to evaluate trench stability. The proposed approach is validated through comparisons with the shear strength reduction finite element method (SSRFEM) in terms of safety factors and corresponding failure mechanisms. An actual engineering case is further analyzed to demonstrate the applicability of the method. Parametric analyses reveal that the safety factor is a nonlinear function of the trench length-to-depth ratio, a near-linear function of soil strength parameters, and a concave-up function of the unit weight ratio. Special three-dimensional failure modes, including partial-depth and bidirectional mechanisms, are observed in narrow trenches under specific soil conditions. Finally, a design equation is proposed to directly estimate the safety factor without iterative computation, achieving excellent predictive accuracy with an <i>R</i>2 exceeding 99.3%.</p>

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Three-dimensional stability analysis of slurry trench in frictional-cohesive soil using the upper bound perturbation method

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Tingzhen Tan,
  • Maosong Huang,
  • Zhenhao Shi

摘要

This study systematically investigates the stability of slurry trenches in single-layered frictional-cohesive soils. A perturbation-based method employing three-dimensional rigid translational moving elements is integrated with the shear strength reduction technique to evaluate trench stability. The proposed approach is validated through comparisons with the shear strength reduction finite element method (SSRFEM) in terms of safety factors and corresponding failure mechanisms. An actual engineering case is further analyzed to demonstrate the applicability of the method. Parametric analyses reveal that the safety factor is a nonlinear function of the trench length-to-depth ratio, a near-linear function of soil strength parameters, and a concave-up function of the unit weight ratio. Special three-dimensional failure modes, including partial-depth and bidirectional mechanisms, are observed in narrow trenches under specific soil conditions. Finally, a design equation is proposed to directly estimate the safety factor without iterative computation, achieving excellent predictive accuracy with an R2 exceeding 99.3%.