<p>Soft rock tunnel construction faces significant challenges due to the time-dependent deformation of the rock mass and the instability of support structures. Traditional creep models often fail to predict the accelerated creep phase, potentially leading to catastrophic failures. This study introduces a new nonlinear fractional-order damage creep (NFDC) model that integrates fractional calculus with damage mechanics, incorporating a damage factor derived from the evolution of plastic deformation energy. The model captures the entire nonlinear creep process in soft rock. Experimental data fitting confirms its accuracy in representing the three main stages of rock creep: decay, steady-state, and accelerated creep. A sensitivity analysis demonstrates how key model parameters influence the progression of each creep stage. To illustrate its practical applicability, the model was further developed and validated within FLAC3D, and it was applied to numerical simulations of real tunnel engineering projects, replicating the accelerated creep behavior of surrounding rock deformation and showcasing its predictive capabilities. Additionally, this research examines the effects of groundwater seepage on tunnel deformation characteristics and analyzes the deformation response under varying support parameters, ultimately proposing a support optimization strategy. This work establishes a theoretical foundation for stability control and disaster prevention in related engineering projects.</p>

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A nonlinear fractional-order damage creep model for yellow mudstone and its validation in tunnel deformation analysis

  • Qiaohai Tan,
  • Bo Hu,
  • Libiao Liu,
  • Yugang Cheng,
  • Mostafa Sharifzadeh,
  • Mi Nie,
  • Tao Zhang,
  • Wenbin Guo,
  • Liang Cheng

摘要

Soft rock tunnel construction faces significant challenges due to the time-dependent deformation of the rock mass and the instability of support structures. Traditional creep models often fail to predict the accelerated creep phase, potentially leading to catastrophic failures. This study introduces a new nonlinear fractional-order damage creep (NFDC) model that integrates fractional calculus with damage mechanics, incorporating a damage factor derived from the evolution of plastic deformation energy. The model captures the entire nonlinear creep process in soft rock. Experimental data fitting confirms its accuracy in representing the three main stages of rock creep: decay, steady-state, and accelerated creep. A sensitivity analysis demonstrates how key model parameters influence the progression of each creep stage. To illustrate its practical applicability, the model was further developed and validated within FLAC3D, and it was applied to numerical simulations of real tunnel engineering projects, replicating the accelerated creep behavior of surrounding rock deformation and showcasing its predictive capabilities. Additionally, this research examines the effects of groundwater seepage on tunnel deformation characteristics and analyzes the deformation response under varying support parameters, ultimately proposing a support optimization strategy. This work establishes a theoretical foundation for stability control and disaster prevention in related engineering projects.