FA-71403 / Seismic magnitude estimation / Member archive

Moment magnitude from fault dimensions: rigidity units · case 03

Moment is a thousand times too small and Mw is 2 units low.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
mu 30 GPa L 1 W 1 D 0.05	`["1.500e+12", 2.05]`	`["1.500e+15", 4.05]`	Failed

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