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Following are the Fundamentals of these Lecture Slides : Correlations, Parameter, Point Correlations, Parameter Pair, Correlation Coefficient, Dynamic Rupture Models, Rupture, Correlation Matrix, New Kinematic Model, Rupture Dynamics
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133
1 = N * M
i = 1
NM
i = 1
NM
For each of ruptures and each parameter pair compute the point to point correlation. This yields point to point correlations for each parameter pair.
134
The correlation coefficient was computed for the regions that rupture at subshear speed of >300 dynamic rupture models
ERI Notes: RJA^136
Schmedes, J., R. J. Archuleta, and D. Lavallée (2010), Correlation of earthquake source parameters inferred from dynamic rupture simulations, J. Geophys. Res. , 115, B03304, doi: 10.1029/2009JB006689.
137
K.B. Olsen, S.M. Day, L.A. Dalguer, J. Mayhew, Y. Cui, J. Zhu, V.M. Cruz-Atienza, D. Roten, P. Maechling, T.H. Jordan, D. Okaya, and A. Chourasia,, GRL 2008
Anelastic Behavior at the Crack Tip to Eliminate the Stress Singularity
Stress
Dislocation
dc
f
σo
σy
Crack
Ida, 1972
σ^1
σ^1
ERI Notes: RJA^139
Shear Stress at a Point on the Fault Time
Yield Stress
Initial Stress
Sliding Friction Stress
Final Stress
S= σy^ - σo^ / σo-σf^ =Strength Excess/Stress Drop
140
σy
σo
σf σ^1
σo-σ^1 σo-σf
σy^ - σo
