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Reliability analysis of horseshoe tunnels by radial-based importance sampling method based on complex function

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This study derives an explicit displacement function for horseshoe-shaped tunnels to analyze their reliability. The radial-based importance sampling (RBIS) method proved most accurate and efficient for tunnel safety assessments.

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Area of Science:

  • Geotechnical Engineering
  • Structural Analysis
  • Computational Mechanics

Background:

  • Tunnel reliability analysis is crucial for ensuring safety.
  • Horseshoe-shaped tunnels require accurate analytical methods for design and risk assessment.

Purpose of the Study:

  • To derive an explicit displacement function for horseshoe-shaped tunnel vaults.
  • To compare the accuracy and efficiency of different reliability analysis methods.
  • To analyze and compare the reliability of horseshoe-shaped and circular tunnels.

Main Methods:

  • Plane elastic complex variable function theory and conformal mapping to derive the displacement function.
  • ABAQUS numerical analysis for verification.
  • Comparison of Advanced First-Order Second Moment (AFORM), Monte Carlo Sampling (MCS), Importance Sampling (IS), and Radial-Based Importance Sampling (RBIS) methods.

Main Results:

  • An explicit displacement function for horseshoe-shaped tunnel vaults was successfully derived and verified.
  • The Radial-Based Importance Sampling (RBIS) method demonstrated superior accuracy and efficiency.
  • Reliability analysis revealed similar parameter sensitivities for horseshoe-shaped and circular tunnels, except for the lateral pressure coefficient.

Conclusions:

  • The derived explicit displacement function provides a valuable tool for horseshoe tunnel reliability analysis.
  • RBIS is recommended for accurate and efficient reliability assessments in tunnel engineering.
  • Findings offer insights for comparative design and analysis of horseshoe and circular tunnels.