seismi risk analysis of l’ aquila - vce risk analysis of l’ aquila gas ... to provide a measure...
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Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Simona Esposito, Iunio Iervolino
Department of Structural Engineering, University of Naples Federico II
Paper ID. 2999
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
Past earthquakes have caused a significant amount of damage to gas networks, especially to its main component, that is buried pipelines.
A gas distribution system comprises two main categories of components:
• point-like critical facilities (reduction stations and groups where gas is pressurized/depressurized and/or measured) • pipelines constituting the distribution network
The causes of earthquake damage to components of gas systems include:
• Permanent ground deformation (PGD) hazard produced by fault displacements, landslides, liquefaction of sandy soils •Transient ground deformation (TGD) hazard associated with travelling seismic waves.
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
Impact of L`Aquila 2009 earthquake (Mw 6.3) on the performance of the local medium- and low-pressure gas distribution networks
Damage to stations: repairs to the input/output network of Onna M/R and inclusion of stop-system; -RG housed in a masonry kiosk closed to building and damaged following the 6th April 2009 earthquake;
Damage to gas pipes ; gas welded joint of a LP steel pipe pulled apart in Paganica (AQ); gas pipe connected to a damaged bridge in Onna (AQ) replaced with a stand-alone pipe
Assessment of the damage occurred on pipes Resilience-related curve for the L’Aquila gas network
following the 2009 event.
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
ACCORDING TO THE PBEE FRAMEWORK
To evaluate the seismic risk of the medium pressure portion of L’Aquila (central Italy) gas distribution system that includes:
• Probabilistic characterization of seismic input
• Definition of vulnerability of the network’s components
• Analysis of the system’s seismic performance measures
• Probabilistic simulation for risk assessment.
OBJECTIVE
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
1.Transient ground deformation (TGD) •Seismic zone characterization •Ground motion estimation Estimation of peak parameters through ground motion prediction equations considering:
oRandom fields of peak parameters and spatial correlation oCross -correlation between intensity measures (IMs) oConditional hazard approach
•Site amplification
2.Permanent Ground Deformation (PGD) The principal forms of permanent ground deformation are:
oCoesismic rupture
oLandsliding
oSeismic settlement and lateral spreading
due to soil liquefaction.
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
3.Vulnerability assessment •Characterization •Fragility analysis
•4.Perfomance
•Network modelling •Perfomance and loss
Re.Mi
STATION
Regulators
First Regulator
Second Regulator
Building
MechanicalEquipment
Boilers
Alimentation
REPAIR RATIO FAULT TREE ANALYSIS
Model Analysis tools Connectivity •Graph : nodes and
edges •Functionality
Graph theory algorithms
Flow-based •Graph : nodes and edges •Functionality
•Flow equation •Newton Nodal and Loops methods
Performance indicators: To provide a measure of the impact of the earthquake on the system functionality and serviceability.
Connectivity Loss
0
1
1
n
i
i
n
i
i
Q
SSI
Q
,
,
1i
source dam
i
source orig i
NCL
N
Serviceability index
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
Filter
RegulatorMonitor
Safety-
relief
valveShut-
off
valve
L’Aquila Gas distribution system •Gas distribution via a 621 km pipeline (STEEL /HDPE ) network: 234 Km at Medium Pressure; 387 Km at Low Pressure .
•The MP network connection to HP network through: 3 Metering / Pressure Reduction M/R Stations (Re.Mi. in Italian).
•The transformation of the MP into the LP through Reduction Groups (RGs).
SOFTWARE IMPLEMENTATION (OOFIMS)
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
•Simulation of the event on the considered seismic fault
The Paganica fault (normal fault type) , characteristic earthquakes of
moment magnitude Mw 6.3.
•Simulation of the random field of the primary IM at bedrock
(PGAr);
Akkar and Bommer (2010) GMPE and Esposito and Iervolino (2011)
spatial correlation model
•Conditional simulation of the cross-correlated secondary IMs at
bedrock (PGVr);
Start iteration i
Computation of Jooyner-Boore distance (Rjb) for the regular grid
Interpolation of log(PGAr) at the vulnerable sites
Sampling of epicenter location Uniform PDF
on the Paganica fault
Computation of the mean of the logarithm of primary IM on the rock (PGAr) at each site of the regular grid,
conditional to MW 6.3 and Rjb, mlog(PGAr)|Mw,Rjb
Sampling of inter-event residual of log(PGAr), hlog(PGAr)
Computation of intra-event residual of log(PGAr) at each site of the regular grid sampling from a GRF,
elog(PGAr)
GMPE of Akkar and Bommer
(2010)
Normal PDF from Akkar and Bommer (2010)
Spatial correlation model from Esposito and Iervolino
(2011) and standard deviation from Akkar and Bommer
(2010)
log(PGAr)= mlog(PGAr)|Mw,Rjb + elog(PGAr) + hlog(PGAr)
Computation of IMs at surface for the vulnerable sites, log(PGAS), log(PGVS)
Amplification factors according to site classification of Akkar and Bommer (2010)
Computation of the mean of the logarithm of secondary IM on the rock (PGVr) at the vulnerable
sites, mlog(PGVr)|Mw,Rjb
GMPE of Akkar and Bommer
(2010)
Computation of the conditional mean and standard deviation of the logarithm of PGVr at the vulnerable sites, mlog(PGVr)|log(PGAr),Mw,Rjb, slog(PGVr)|log(PGAr), Mw,Rjb
Correlation coefficient estimated, standard deviation
from Akkar and Bommer (2010)
Computation of the logarithm of PGVr at the vulnerable sites, log(PGVr)
According to condtional
hazard approach of Iervolino et al. (2010)
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
•Amplification due to local site conditions to get PGAs and PGVs
that are the IMs at the surface;
According to the site classification scheme adopted by the GMPE
•Simulation of displacement
consequential to PGD (landslide)
•Critical acceleration map according to
Hazus (FEMA, 2004) methdology
•Fragility assessment
Poisson repair rates function of PGVS and
PGD (pipelines) – ALA (2001) according to
Esposito et al (2013) and lognormal
fragility curves for un-anchored
compressor stations (FEMA, 2004)
•Connectivity analysis
Two performance indicators (Connectvity
Loss and Serviceability ratio)
Computation of the landslide displacement for the vulnerable sites, PGD
Displacement model of Saygili and Rathje
(2008)
Kc<PGAS
Pland<P*la
nd
Yes
Yes
No
No
PGD=0
Landslide Critical Acceleration Map
Map area proportion from Hazus(2004)
Stop iteration i
Computation of the damage state of M/R stations as a
function of PGAS
Fragility curve form Hazus (2004)
Computation of repair ratio RR for pipelines as a function of PGVS and PGD
Fragility curve from ALA (2001)
Computation of the performance indicators, CL, SR
CL, mCL sCL, SR, mSR sSR
Performance indicators from Adachi and
Ellingwood (2008), Poljanšek et al. (2012)
Sampling of probability of displacement, Pland Uniform PDF
Esposito S., Iervolino I. Paper ID: 2999
SEISMIC RISK ANALYSIS OF L’ AQUILA GAS DISTRIBUTION NETWORK
Introduction Results Framework Application
Disaggregation of network performance, which indicated a clear influence, on the earthquake loss, of the damage state of the M/R stations
Complementary cumulative distribution function (CCDF). Different behavior due to the different definition of the two performance indicators and the network’s configuration.