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    Earthquake risk assessment:Earthquake risk assessment:from scientific research to riskfrom scientific research to risk

    management decisionsmanagement decisions

    Warwick SmithWarwick Smith

    GNS Science, Lower HuttGNS Science, Lower Hutt

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    Last 50 yearsPrevious 100 years

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    NZsNZs largest historical earthquake:largest historical earthquake:

    1855 Wairarapa1855 WairarapaMagnitudeMagnitude

    Recurrence intervalRecurrence interval

    UpliftUplift

    Severity of ground motionSeverity of ground motionDamage and casualtiesDamage and casualties

    None of these is a measure of theNone of these is a measure of thehazard or risk in Wellingtonhazard or risk in Wellington

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    To estimate theTo estimate the hazardhazard in a particular placein a particular placewe must ask:we must ask:

    1.1. Which earthquake sources affect this location?Which earthquake sources affect this location?

    2.2. How often do earthquakes occur at each source,How often do earthquakes occur at each source,

    and how big will they be?and how big will they be?

    3.3. How severe will the ground motion be?How severe will the ground motion be?

    To estimate theTo estimate the riskrisk, we must also ask:, we must also ask:4.4. What will be the effects on particular assets?What will be the effects on particular assets?

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    WellingtonWellington

    Strong Shaking

    MMIX

    Extensive Damage

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    The Wellington FaultThe Wellington Fault

    Magnitude 7.5Magnitude 7.5Recurrence Interval 600 yearsRecurrence Interval 600 years

    (on average, not on schedule)(on average, not on schedule)Last one ~ 400 years agoLast one ~ 400 years ago

    Next one?Next one? Next weekNext weekEventuallyEventually

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    In addition to the catalogue ofIn addition to the catalogue offaults, afaults, a BackgroundBackground

    Seismicity ModelSeismicity Model takestakes

    account of the distributedaccount of the distributedearthquake activityearthquake activity

    throughout the country.throughout the country.

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    Modified Mercalli intensity scaleModified Mercalli intensity scale

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    Modified Mercalli intensity scaleModified Mercalli intensity scale

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    Intensity Decreases as you go Further Away

    4

    6

    8

    10

    12

    1 10 100 1000

    Distance, km

    MMI

    nte

    nsity

    Dowrick-Rhoades Intensity Function

    Mag 87

    65

    Distance (km)

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    Hazard in terms of spectral accelerationHazard in terms of spectral acceleration

    rather than intensityrather than intensity

    Peak ground accelerationPeak ground acceleration

    Ground motion at various periodsGround motion at various periods

    Site conditionsSite conditions

    Building codesBuilding codes

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    Damage RatioDamage Ratio

    Cost of RepairCost of Repair

    Replacement Value of the AssetReplacement Value of the Asset

    Its a number between 0 and 1Its a number between 0 and 1

    Repair Cost = Value X DRRepair Cost = Value X DR

    If we know theIf we know the intensityintensity and theand thebuilding typebuilding type we can estimatewe can estimate

    what thewhat the damage ratiodamage ratio is likely to beis likely to be

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    01

    2

    3

    4

    5

    6

    7

    8

    9

    0 10000 20000 30000 40000 50000

    Year

    EQCL

    oss(b)

    NZ houses cost of damageWellington area faults Other sources

    Lo

    ss

    (b$)

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    EQC Housing Portfolio

    0

    1

    2

    3

    4

    5

    0 200 400 600 800 1000

    Return Period (years)

    Lo

    ss($b)

    EQC Housing Portfolio

    Return period (years)

    Deductible?

    Layers?

    Typical loss curve for an asset portfolio

    Loss($m)

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    Site B

    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    50

    0 500 1000 1500 2000 2500 3000

    Return Period (years)

    Loss($m)

    Loss Curve - Fragile Industrial Plant

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    Important Earthquake Sources

    Wellington Portfolio

    Wellington

    Wairarapa

    Ohariu

    ShepherdsGully

    SubductionZone

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    Wellington Fault Severity Distribution

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000

    1000 3000 5000 7000

    EQC Loss ($m)

    Fre

    quency

    Frequency

    50% 4.2 75% 4.9

    90% 5.5

    1 2 3 4 5 6 7 8

    Loss ($m)

    Fre

    quency

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    Good decisions in risk management requireGood decisions in risk management require

    reliable assessment of hazard and riskreliable assessment of hazard and risk

    InsuranceInsurance

    Mitigation worksMitigation works

    Priority settingPriority setting