Seismic Risk of Inter-Urban Transportation Networks Anastasios Sextos Associate Professor University of Bristol Aristotle University Thessaloniki
Resilience-based Seismic Design Wider Performance Criteria Pre quake & Post quake Mitigate Seismic Risk (in terms of direct damage and loss) Minimize implications on disaster response (immediate after) and recovery (in the long term)
Real-Time Seismic Risk of Intercity Highway Networks P. Panetsos, N., Theodoulidis, V. Margaris M. Pitsiava G. Sergiadis G. Mylonakis A. Kappos / A. Sextos A. Pecker S. Saiidi
Objective Risk-informed Decision Making of Highway Networks for State & Stakeholders by integrating vulnerability, seismic hazard, traffic analysis, consequence analysis & SHM
Overview of the proposed methodology
Case study InterCity Network for the Prefecture of Western Macedonia, Greece
1. Area of study Area: 9,451 km 2 Population: 283,689
2. Network Grid (portfolio of critical nodes) Critical Point 1: Bridge of Class Ι Location: X1,Y1 Network Components Highways, Roads, Bridges, Tunnels, Slopes Joints Main cities POIs Critical Point 2: Tunnel of Class Α Location: X2,Y2 Objectives Methodology Pilot Study
3. Classes of Critical Components class selection component coordinates fundamental type of foundation period of critical according to EC8 id of road link component Estimated cost of reconstructing the component Objectives Methodology Pilot Study
Seismic fragility of bridges within the highway network
4. Vulnerability of each class of structures (1/2) 1. For each bridge class 2. Introduce uncertainty in material properties, geometry, finite element modelling, ground motion 3. Generate analysis sample (Monte Carlo, Latin Hybercube sampling) 4. Run series of nonlinear response history analyses 5. Define limit states The probability to exceed Limit State 1 (minor damage) for an earthquake with PGA = 0.4g is 78% 6. Compute structural damage proxies 7. Predict the probability of exceeding a given limit state for a given Intensity measure (PGA, Sa(T))
4. Vulnerability of each class of structures (1/2) Multi-damage Fragility
4. Vulnerability of each class of structures (1/2) Taskari & Sextos (2015)
4. Vulnerability of each class of structures (1/2) Stefanidou, Sextos. Kappos, Kotsoglou (2016)
4. Vulnerability of each class of structures (1/2) Multiple Stripe Analysis
4. Vulnerability of each class of structures (2/2) Retrieve fragilities from the literature User-defined fragility
5. Vulnerability of each class of tunnels Fragility of: i. Tunnels ii. Slopes PGA/PGV/PGD as Intensity Measure Definition of Limit States
5. Vulnerability of each class of tunnels Limit States No damage Minor Damage Major Damage Collapse Mylonakis, Maravas, Taskari, Sextos (2016)
6. Seismic Hazard Assessment Deterministic : DSHA Single Magnitude, Μ Single Source-to-site distance, R Influence of M,R Source 1 Source 3 M 1 Site M 3 Source 2 M 2 1 2 R 1 R 3 R 2 Probabilistic : PSHA Multiple probable Magnitudes, M Multiple probable Source-to-site distances, R Influence of M,R GMP Y M 3 M 1 M 2 R 3 Controlling EQ R 2 R 1 Distance 3 4 Y Y Y 1 2 Y N
6. Seismic Hazard Assessment Geographical distribution of expected Intensity Measures Mean recurrence period: 475 years (V. Margaris & N. Theodoulidis) PGA (cm/sec 2 ) PGV (cm/sec) 40.8 40.8 40.7 40.7 40.6 40.6 40.5 40.5 40.4 22.7 22.8 22.9 23 23.1 23.2 23.3 23.4 23.5 23.6 Area Grid 1x1km grid 40.4 22.7 22.8 22.9 23 23.1 23.2 23.3 23.4 23.5 23.6 Mean annual frequency of excceedance Sa Ηazard curves
6. Seismic Hazard Assessment k Scenarios (50, 100, 475, 1000) m seismic events => m maps of IM Functionality of a critical component i Traffic flow redistribution given the network components functionality
7. Traffic analysis K scenarios (50,100, 475, 1000, 2000) M events (sources, IM spatial distribution) Monte Carlo with the P(component i to remain open IM) Objectives Methodology Pilot Study
7. Repair cost and restoration vs. time Traffic capacity over time for each scenario, source and restoration phase (as closed components gradually return to full function)
8. Total Traffic Cost t m,p 1200 t phase1 m,1 1000 : is the duration of phase p of traffic scenario m Additional daily cost EC ( ) 800 600 400 200 tphasep m,p Traffic Cost m EC m,p 0 0 10 20 30 days ECp VOT Dp Vjp tjp Vj0 tj0 : additional cost due to traffic conjunction during phase p (per time unit) : value of time : total delays during phase p : traffic load in network link j : travel time in network link j : traffic load in network link j before earthquake occurrence : travel time in network link j before earthquake occurrence
8. Total Structural Cost DS Repair Cost Ratio Index Structural Cost for critical component i : D i = (RCR 1i *P DS1 i, + RCR 2i *P DS2 i + RCR 3i *P DS3 i + RCR 4i *P DS4 i ) * TCC i M : total number of the identified earthquake sources TCC i : total construction cost of component i Total (for the entire network ) Structural Cost : N: total number of critical network components
9. Consequence analysis assessment of losses that are not easily quantified in monetary units values ranging from 0 to 1 (lower indicator values imply higher losses) Economic Loss (ECO) Consequences vector Connectivity Loss (CON) Environmental Loss (ENV) Sextos et al. (2017), 16WCEE, Chile
10. Decision making 1 1 1 1 0.5 0.5 0.5 0.5 (millions) 20 18 16 14 12 10 8 6 4 2 0 0 E C O C O N E N V 0 E C O C O N E N V 100 475 950 1890 earthquake scenario (recurrence period) 0 E C O C O N E N V 0 E C O C O N E N V Additional traffic cost Total Cost
10. Decision making To retrofit or not?
SHM and (nearly) Real-time Seismic Risk Assessment Post quake Minimize implications on disaster response (immediate after) and recovery (in the long term)
Update with actual IM Area Grid Ηazard curves Data Structural & Geotechnical Components Fragility curves Processing Calculation of qualitative and quantitative indicators (AFTER the earthquake based on structural monitoring & Shake Maps) Traffic Capacity functions = f(bridge/tunnel/slope Damage) = f(d IM)
Update with actual Sa(T) VMS 32m 173m 29,1m 512m Bridge Γ9 500m Control Center G. Sergiadis et. al (2016)
Update with actual Sa(T): Satellite link Switch Serial 2 Ethernet 24V DC UPS IP Camera Accelerometer 1 Ethernet 2 Fiber Accelerometer 2 Dark Fiber or Dedicated LAN KEK Switch Linux Gate Network of Egnatia Highway Δορυφορικό Link Bridge Γ9 3G Χρήστης UPS + Γεννήτρια 2N 3G Directional Κεραία Cable Ethernet Power Cable Cable RS485
A novel, modular methodology for the assessment of Seismic Risk in Intercity Highway Networks was developed Methodology and web-based software are parametrically structured and are open to be used in different European Areas Modular structure permits incorporation of natural or man-made hazards as well as additional network components Acknowledgements: Yiannis Kilanitis, Ph.D. student, Aristotle University
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