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EARTHQUAKE MAGNITUDE, INTENSITY, ENERGY, POWER LAW RELATIONS AND SOURCE MECHANISM. Walter D. Mooney U.S. Geological Survey California, USA e-mail: mooney @ usgs.gov. EARTHQUAKE CLASSIFICATION MAGNITUDE CLASSIFICATION M ≥ 8.0 Great Earthquake
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EARTHQUAKE MAGNITUDE, INTENSITY, ENERGY, POWER LAW RELATIONS AND SOURCE MECHANISM Walter D. Mooney U.S. Geological Survey California, USA e-mail: mooney @ usgs.gov
EARTHQUAKE CLASSIFICATION MAGNITUDE CLASSIFICATION M ≥ 8.0 Great Earthquake 7.0 ≥ M < 8.0 Major / Large Earthquake 5.0 ≥ M < 7.0 Moderate Earthquake 3.0 ≥ M < 5.0 Small Earthquake 1.0 ≥ M < 3.0 Microearthquake M < 1.0 Ultra Microearthquake Hagiwara, 1964
NATURE OF EARTHQUAKES • Foreshocks • Main shock • Aftershocks • Earthquake Swarm • Normal Seismic activity
TYPES OF EARTHQUAKES • Tectonic Earthquake • Volcanic Earthquake • Collapse Earthquake • Explosion Earthquake CLASSIFICATION DISTANCE 1) Teleseismic Earthquake > 1000 km 2) Regional Earthquake > 500 km 3) Local Earthquake < 500 km
EARTHQUAKE MAGNITUDE Richter Magnitude ML (Local Magnitude) ML = log A - log Ao ( ) Body-wave Magnitude (mb) Surface-wave Magnitude (Ms) Ms= log AHmax - log Ao (o) mb = log (A/T) - f (,h) MS = log (A/T)max + 1.66 log + 3.3 Moment Magnitude (Mw) Duration Magnitude (MD) Mw = 2/3 log Mo - 10.7 MD = - 0.87 + 2.00 log + 0.0035 Mo = A u Macroseismic Magnitude (Mms) Mms = 0.5Io + log h + 0.35
Richter Magnitude Scale Distance S – P Magnitude Amplitude km sec ML mm
EARTHQUAKE INTENSITY • Rossi-Forel Intensity Scale (I – X) • Modified Mercalli (MM) Intensity Scale (1956 version), (I – XII) • Medvedev-Sponheuer-Karnik (MSK) Intensity Scale • (1992 Version), (I – XII) Isoseismals Isoseismals are the curved lines joining the localities of same intensity.
EARTHQUAKE ENERGY log E = 12 + 1.8 ML log E = 5.8 + 2.4 mb log E = 11.4 + 1.5 Ms Magnitude versus ground motion and energy Magnitude Ground Motion Energy 1.0 10.0 times about 32 times 0.5 3.2 times about 5.5 times 0.3 2.0 times about 3 times 0.1 1.3 times about 1.4 times
POWER LAW RELATIONS Frequency- magnitude Relation Log10N = a – bM Aftershock Attenuation (p-value) N(t) t -p Fractal Dimension
b - VALUE ESTIMATION The Least-Square Fit Method: The log values of the cumulative number of earthquakes (N) are plotted against magnitude (M). The Maximum Likelihood Method : The maximum likelihood estimate of b-value is given by Aki ( 1965) : b =log10e/M-M0
b-value: b = 0.77 Log N Magnitude An example showing frequency-magnitude relationin NE India
SOURCE MECHANISM (fault-plane solution) Classification of Faults • Thrust Fault • Normal Fault • Strike-slip Fault Dynamics of Faulting • Single Couple • Double Couple Elastic Rebound Theory
Normal fault Regime Thrust fault Regime Strike-slip fault Regime
Elastic Rebound Theory Reid, 1910
Plotting of P-wave First-motion (Equal Area Projection)
Equal Area Plot of a Plane and its Pole
P-wave first-motion plot and fault plane solution Kayal, 1984
Source mechanisms of earthquakes at the subduction zone, Indo-Burma ranges Rao & Kalpana, 2005