📋 Case Study

Urban Tunnel Construction Vibration & Settlement Risk Model

Ground vibration threatening 19th-century masonry structures within 12m of tunnel alignment

🏗️ Project Overview

Metro extension beneath historic district, Lisbon

🎯 Challenge

Ground vibration threatening 19th-century masonry structures within 12m of tunnel alignment

🔧 Design Approach

Coupled FEM modeling (MIDAS GTS NX) + empirical vibration prediction (Dowding) + real-time piezometer network

📐 Design Diagram

Tunnel Alignment 19th-c Masonry 12 m PPV = 4.2 mm/s σ = ±1.8 mm FEM Modeling (MIDAS GTS NX) Empirical Prediction (Dowding) Real-time Piezometers FEM Model Empirical Monitoring Risk Zone

AI-generated project design illustration

📐 Key Calculations

Peak Particle Velocity (PPV)

PPV = K × (D/R)^n
Result: 4.2 mm/s
Below UNESCO limit of 5 mm/s for historic masonry

Settlement Prediction Confidence Interval

σ = ±1.96 × SE
Result: ±1.8 mm
Within allowable 5 mm tolerance per EN 1997-1

📊 Results

Zero structural damage to heritage buildings; 100% compliance with municipal vibration ordinances; project completed 3 weeks ahead of schedule

💡 Lessons Learned

  • Empirical models require site-specific calibration before use
  • Real-time feedback loops enable predictive mitigation adjustments

Key Takeaways

  • 1Empirical models require site-specific calibration before use
  • 2Real-time feedback loops enable predictive mitigation adjustments