FA-71402 / Seismic magnitude estimation / Member archive
Moment magnitude from fault dimensions: rigidity units · case 02
Moment is a thousand times too small and Mw is 2 units low.
Case contract
Rigidity in GPa, rupture length and width in km, average slip in m; any non-positive value returns None. M0 = mu * area * slip in N*m (SI), Mw = 2/3 (log10 M0 - 9.1). Return [M0 formatted %.3e, Mw rounded 0.01].
Why this case matters
Scenario ruptures for hazard studies convert fault geometry into moment magnitude.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| mu 30 GPa L 400 W 100 D 8.0 | ["9.600e+18", 6.59] | ["9.600e+21", 8.59] | Failed |
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