FA-71743 / Seismic magnitude estimation / Member archive

Scalar moment from moment tensor: Frobenius half factor · case 03

Mw is 0.1 units too high for every tensor.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

mt = [Mrr, Mtt, Mpp, Mrt, Mrp, Mtp] mantissas; tensor = mantissa * 10^exponent dyne*cm. M0 = sqrt(sum of all nine squared elements / 2) (off-diagonals appear twice), converted to N*m (1e-7). Mw = 2/3 (log10 M0 - 9.1). Flag "non-deviatoric" when |trace| > 0.1 * M0 mantissa norm, else "deviatoric". Return [Mw rounded 0.01, flag].

Why this case matters

Global CMT catalogues report Mw from the scalar moment of the moment tensor.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
CMT 6	`[7.1, "deviatoric"]`	`[7.0, "deviatoric"]`	Failed

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