10-ESCI461-EQPHYSICS

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  • 7/28/2019 10-ESCI461-EQPHYSICS

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    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 11

    Physics of EarthquakesPhysics of Earthquakes

    Equivalent forces of a dislocation modelEquivalent forces of a dislocation model Single forceSingle force

    Force coupleForce couple Single coupleSingle couple

    Double coupleDouble couple

    Moment tensorMoment tensor Double couple componentDouble couple component

    NonNon--double couple componentdouble couple component

    IsotropicIsotropic

    Compensated linear vector dipole (CLVD)Compensated linear vector dipole (CLVD)

    Stress drop, Scaling laws, moment magnitude,Stress drop, Scaling laws, moment magnitude,source spectrasource spectra

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 22

    Fault Area and Slip DistributionFault Area and Slip Distribution

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 33

    First Motion PlotFirst Motion Plot

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 44

    How to Represent a Slip of Fault?How to Represent a Slip of Fault?

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    )),(()2(),(

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    +=

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    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 55

    Force and Force Couple (Dipole)Force and Force Couple (Dipole)

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 66

    Radiation Pattern of Single and Double CoupleRadiation Pattern of Single and Double Couple

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    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 77

    Double Couple and Fault SlipDouble Couple and Fault Slip

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 88

    Seismic Moment TensorSeismic Moment Tensor

    Scalar moment

    =

    zzzyzx

    yzyyyx

    xzxyxx

    MMM

    MMM

    MMM

    M

    0 0

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    M

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    M M n d n d

    =

    = +

    2

    2= ij

    ij

    o

    M

    M

    Scalar Moment

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 99

    Examples of Moment Tensor andExamples of Moment Tensor and

    the Associated Focal Mechanismthe Associated Focal Mechanism

    Isotropic (IIsotropic (I--

    component)component)

    NonNon-- isotropicisotropic

    componentcomponent

    Double coupleDouble couple

    CompensatedCompensated

    Linear VectorLinear Vector

    Dipoles (Dipoles (CLVDsCLVDs))

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 1010

    Quantify the CLVDQuantify the CLVD

    +

    =

    +

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    3

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    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 1111

    Examples of CLVD ObservationsExamples of CLVD Observations

    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 1212

    Static Similarity and Scaling LawsStatic Similarity and Scaling Laws

    W/L=k1 (constant fault aspect ratio)W/L=k1 (constant fault aspect ratio)

    D/L =k2 (constant strain)D/L =k2 (constant strain)

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    week 9, 03/18,20week 9, 03/18,20 Earthquakes: Kinematics and PhysicsEarthquakes: Kinematics and Physics slideslide 1313

    Stress Drop andStress Drop and MMoo

    LFLS

    LSL

    DSDM

    SSDM

    SLD

    LDLawSimilarityBased

    L

    D

    o

    o

    ==

    =

    =

    =

    }{

    (strain)constant/

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