1. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Seismic wave Propagation and Imaging in Complex media: a European network Shane Murphy Early Stage Researcher Host Institution: University of Naples Place of Origin: Dublin, Ireland Appointment Time: January 2005 Project: Earthquake scaling with initial rupture phase Task Groups: TG Local Scale, TG Small Scale Cooperation: INGV Rome Shane Murphy Early Stage Researcher Host Institution: University of Naples Place of Origin: Dublin, Ireland Appointment Time: January 2005 Project: Earthquake scaling with initial rupture phase Task Groups: TG Local Scale, TG Small Scale Cooperation: INGV Rome

2. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Introduction After: Olsen & Allen (2005) Scaling of frequency with magnitude size

3. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Introduction From Zollo, Lancieri & Nielsen (submitted) Scaling of peak motion with magnitude size

4. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Theory Looking at the far displacement for a double couple point source…… u   ∆σ Λ u(t) Λ

5. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Theory Looking at shear fracture exclusively…… Energy Flow:   yy oo rr

6. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Theory In the case of the Antiplane Stress Intensity Factor Steady state pulseKostrov crack Self-similar pulse The Stress Intensity, K, always depends on the Sqrt( Λ ) & ∆σ

7. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Theory Combining the two equations …… Energy Flow: u   G e ∆σ Λ∆σ Λ

8. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Graphical Depiction of Model b a y Triggering patch Asperity background R1 R2 L σ σ σ

9. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland The model Fault plane Triggering patch High-stress asperity Background stress Final rupture size?

10. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland The model Fault plane High-stress asperity Background stress Final rupture size? M o ini MoMo

11. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland The model

12. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland The model sliprate 2.74 0 Model Parameters: Trigger Radius: 10 Asperity Radius: 20 Yield Stress: 1.2 Asperity Stress: 0.8 Background Stress: 0.6

13. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Results Rupture Length Versus Moment Rate Moment Rate

14. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Results Moment Rate (Far Field Displacement) Moment rate (far field displacement) Peak Mo.rate (R2) Start healing Fracture stops Time

15. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Results Scaling of Magnitude with Moment Rate

16. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Problem – Slip Distribution Slip Pattern Unphysical as nucleation usually found outside zone of major slip 2.08 0 slip 3.02 0 slip yy yy

17. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland Future Work Different model types Moving Nucleation Location Heterogeneous Stress Distribution Rupture Time History Synthetic Seismograms P - arrival

18. www.spice-rtn.org SPICE Research and Training Workshop III, July 22-28, Kinsale, Ireland The End Thank you