FA-71418 / Seismic magnitude estimation / Member archive

Equivalent magnitude of a swarm: energy summation · case 03

A swarm with one large event is reported far smaller than that event alone.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Surface-wave magnitudes of a swarm; energy per event log10 E = 1.5 Ms + 4.8 (J). Sum energies and invert to the single equivalent magnitude. Return [Meq rounded 0.01, total energy "%.2e"] or None for an empty swarm.

Why this case matters

Swarm summaries compare cumulative energy release with single earthquakes.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
one big many small	`[4.15, "1.06e+11"]`	`[6.0, "6.31e+13"]`	Failed

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