Coda Normalization Lapse Time Amplitude Correction

Correct coda amplitudes to a reference lapse time using the spreading law A ∝ t^−α.

Description

Correct coda amplitudes to a reference lapse time using the spreading law A ∝ t^−α.

Coda Normalization Lapse Time Amplitude Correction is a focused tool for the following task. Correct coda amplitudes to a reference lapse time using the spreading law A ∝ t^−α. It reports (t/t_ref)^−α, dB from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Coda Normalization Lapse Time Amplitude Correction

Use this seismology calculation to reproduce a stated convention, screen observations, or compare scenarios whose units, coordinate conventions, catalog selection, and model assumptions are known.

t (s)
Required number in s. Lapse time of the measurement.
t_ref (s)
Required number in s. Reference lapse time.
α
Optional number. Coda decay exponent.

The cited overview of Seismic wave supplies background for the terminology and domain context used by this tool.1

How Coda Normalization Lapse Time Amplitude Correction works

Correct coda amplitudes to a reference lapse time using the spreading law A ∝ t^−α. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

(t/t_ref)^−α
Returned number. Multiplicative amplitude correction.
dB (dB)
Returned number in dB. Correction in decibels.

Limitations and assumptions

  • Earth structure, source geometry, path effects, site response, instrument response, catalog completeness, uncertainty, and the fitted range can dominate the accuracy of simplified seismic calculations.
  • t must be at least 0.
  • t_ref must be at least 0.
  • α must be at least 0.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

For analysis or hazard decisions, retain uncertainty and provenance and compare the result with waveform processing, calibrated regional models, and guidance from qualified seismologists or the responsible agency.

References

  1. Seismic wave — Wikipedia contributors

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