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EARTHQUAKE MAGNITUDE, INTENSITY, ENERGY, POWER LAW RELATIONS AND SOURCE MECHANISM J R Kayal Geological Survey of India Kolkata e-mail: jr_kayal@hotmail.com
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EARTHQUAKE CLASSIFICATION MAGNITUDECLASSIFICATION 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
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NATURE OF EARTHQUAKES 1)Foreshocks 2)Main shock 3)Aftershocks 4)Earthquake Swarm 5)Normal Seismic activity
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CLASSIFICATIONDISTANCE 1) Teleseismic Earthquake> 1000 km 2) Regional Earthquake> 500 km 3) Local Earthquake< 500 km TYPES OF EARTHQUAKES 1)Tectonic Earthquake 2)Volcanic Earthquake 3)Collapse Earthquake 4)Explosion Earthquake
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EARTHQUAKE MAGNITUDE Richter Magnitude M L (Local Magnitude) M L = log A - log Ao ( ) Body-wave Magnitude (m b ) m b = log (A/T) - f ( ,h) Surface-wave Magnitude (M s ) M s = log AHmax - log Ao ( o) M S = log (A/T)max + 1.66 log + 3.3 Moment Magnitude (M w ) M w = 2/3 log Mo - 10.7 M o = A u Duration Magnitude (M D ) M D = - 0.87 + 2.00 log + 0.0035 Macroseismic Magnitude (M ms ) M ms = 0.5Io + log h + 0.35
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Richter Magnitude Scale Distance S – P Magnitude Amplitude km sec M L mm
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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.
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Isoseismal of the 2001 Bhuj Earthquake, M w 7.7
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Isoseismals of large earthquakes in India Isoseismals of large earthquakes in India
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INTENSITY AND ACCELERATION log a = 2 or a=100 cm/sec 2 = 0.1g, when I = 7 a = 1g, when I = 10 and Richter, 1958
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EARTHQUAKE ENERGY log E = 12 + 1.8 M L log E = 5.8 + 2.4 m b log E = 11.4 + 1.5 M s 1.010.0 timesabout 32 times 0.5 3.2 timesabout 5.5 times 0.3 2.0 timesabout 3 times 0.1 1.3 timesabout 1.4 times Magnitude Ground Motion Energy Magnitude versus ground motion and energy
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POWER LAW RELATIONS Frequency- magnitude Relation Log 10 N = a – bM Aftershock Attenuation (p-value) N(t) t -p Fractal Dimension
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b - VALUE ESTIMATION 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 =log 10 e/M-M 0
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b = 0.77 Magnitude Log N An example showing frequency-magnitude relation in NE India b-value:
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Contour Map showing the variation of b-value in NE India b-value Map
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p = 0.91 Log-Log Plot of no. of aftershocks with time p-value:
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Examples of Fractal Shapes Examples of Euclidean Shapes
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Example of Correlation integral versus distance plot Fractal Dimension D 2 = 1.56
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Contour Map showing variation of Fractal Dimension in NE India Fractal Map
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SOURCE MECHANISM (fault-plane solution) Classification of Faults Thrust Fault Normal Fault Strike-slip Fault Dynamics of Faulting Elastic Rebound Theory Single Couple Double Couple
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Normal fault RegimeThrust fault Regime Strike-slip fault Regime
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Fault Dimension
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Different Types of Faulting
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Graben & Horst in Fault System
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Stress System Fracture Criteria: Mohr Circle
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Dynamics of Faulting
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Elastic Rebound Theory Reid, 1910
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Plotting of P-wave First-motion (Equal Area Projection)
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Equal Area Plot of a Plane and its Pole
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P-wave first-motion plot and fault plane solution Kayal, 1984
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Source mechanisms of earthquakes at spreading centre
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Source mechanisms of earthquakes at the subduction zone, Indo-Burma ranges Rao & Kalpana, 2005
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Source mechanisms of earthquakes at the Himalayan collision zone Ni & Barazangi, 1984
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Source mechanisms of intraplate earthquakes, peninsular India Kayal, 2000
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( Kayal 2000, JGS )
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( Kayal, 2000 JGS )
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(a) Fault-plane solutions of the Bhuj earthquakes (b) N-S depth section of the earthquakes (Kayal et al. 2002, JGS )
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Seismotectonic Model of 26th January, 2001 Bhuj Earthquake (Kayal et al. 2002, JGS )
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