FA-71822 / Seismic magnitude estimation / Member archive

Radiated energy magnitude: squared velocity · case 02

Energy grows with the square of the record length.

Member previewVariant 2 · 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 3	`["1.264e+09", 3.17]`	`["4.682e+08", 2.88]`	Failed

MEMBER ARCHIVE

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