Moment Magnitude
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This calculator computes the seismic moment and moment magnitude resulting from fault motion based on the fault area (fault length × fault width), average displacement, and stiffness.
Mw = (log Mo - 9.1) / 1.5
Mo (N·m) = Fault area (m²) × Average displacement (m) × Stiffness (Pa)
Mo (N·m) = Fault area (m²) × Average displacement (m) × Stiffness (Pa)
| Seismic Moment (Mo) | N·m |
| Moment Magnitude (Mw) |
Method for Calculating the Modulus of Rigidity
Modulus of Rigidity G = (S-wave velocity)² (Vs²) × density of the medium (ρ)
Guideline Values for the Modulus of Rigidity Based on Hypocenter Depth
10 km: Approximately 30 GPa
30 km: Approximately 50 GPa
70–410 km: Approximately 70–80 GPa
410–660 km: Approximately 120 GPa
1995 Southern Hyogo Prefecture Earthquake: Mw 6.9
1923 Taisho Kanto Earthquake: Mw 7.9
2011 Tohoku-Oki Earthquake: Mw 9.1
1960 Chile Earthquake: Mw 9.5
Modulus of Rigidity G = (S-wave velocity)² (Vs²) × density of the medium (ρ)
Guideline Values for the Modulus of Rigidity Based on Hypocenter Depth
10 km: Approximately 30 GPa
30 km: Approximately 50 GPa
70–410 km: Approximately 70–80 GPa
410–660 km: Approximately 120 GPa
1995 Southern Hyogo Prefecture Earthquake: Mw 6.9
1923 Taisho Kanto Earthquake: Mw 7.9
2011 Tohoku-Oki Earthquake: Mw 9.1
1960 Chile Earthquake: Mw 9.5
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