FA-71819 / Seismic magnitude estimation / Member archive

Radiated energy magnitude: distance units · case 04

Energy is a million times too small.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Ground velocity samples in m/s, sample interval s, hypocentral distance km. Energy flux integral = sum(v^2)*dt; Es = 4 pi rho beta R^2 * integral * 0.25 (free-surface correction), rho=2700 kg/m3, beta=3500 m/s, R in m. Me = 2/3 log10 Es - 2.9. Return [Es "%.3e", Me rounded 0.01]; None if the trace is empty or all zero.

Why this case matters

Energy magnitude complements Mw for damage potential of high-frequency radiation.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
record 9	`["1.101e+05", 0.46]`	`["1.101e+11", 4.46]`	Failed

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