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A-27 (354) P. Senatorski, Interactive Dynamics of a Heterogeneous Seismic Source. A Model with the Slip-Dependent Friction

Show articles/contents 

1. Earthquakes and the physics of earthquakes, 7

1.1 Complexity of faulting, 7

1.2 Research methods, 16

1.3 Physics of earthquakes, 19

1.4 Earthquake prediction, 25

1.5 Summary, 26

2. Earthquake source model with the overdamped dynamics, 27

2.1 Evolution equations, 29

2.2 Energy partition, 36

2.3 Earthquake rupture scenario, 39

2.4 Discretization and boundary conditions, 43

2.5 Discussion, 44

2.6 Summary, 47

3. Simulation results, 48

3.1 Long-term activity, 49

3.2 Earthquakes, 52

3.3 Earthquake cycles, 54

3.4 Earthquake populations, 58

3.5 Discussion, 61

3.6 Summary, 63

4. Towards statistical physics of earthquakes, 65

4.1 Homogeneous source model, 65

4.2 Heterogeneous source model, 71

4.3 Discussion, 83

4.4 Summary, 87

5. Conclusions: earthquakes as complex phenomena, 88

5.1 Analogy to economical systems, 91

5.2 Controversies, 92

5.3 Inspirations, 97

5.4 Future studies, 100

5.5 Summary, 100

A. Rate- and state-dependent friction, 102

A.1 Formulation, 103

A.2 Interpretation, 103

A.3 Slip-weakening behaviour, 105

A.4 Slip velocity pulses and self-healing, 105

A.5 Stability and critical source size, 106

A.6 Rupture phases and cycle stages, 107

A.7 Rupture phases, 107

A.8 Cycle stages, 108

A.9 Stress shadow and trigger, 108

A.10 Earthquake grouping, 111

A.11 Summary, 113

B. Stiffness matrix, 115

B.1 Dislocation loops, 115

B.2 Tectonic fault, 116

B.3 Internal stresses, 116

B.4 Interactions, 121

B.5 Boundary conditions, 124

B.6 Notation, 133

B.7 Fault specification, 133

B.8 Interaction coefficients - internal cells, 134

B.9 Interaction coefficients -external cells, 135

B.10 Interaction coefficients with free surface, 138

B.11 Summary, 138

References, 140

Streszczenie, 147


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