Arias Intensity Duration Proxy Calculator

Arias intensity proxy I_a ≈ (π/2g)·∫a² dt approximated by PGA² times effective duration.

Description

Arias intensity proxy I_a ≈ (π/2g)·∫a² dt approximated by PGA² times effective duration.

Arias Intensity Duration Proxy Calculator is a focused tool for the following task. Arias intensity proxy I_a ≈ (π/2g)·∫a² dt approximated by PGA² times effective duration. It reports I_a from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Arias Intensity Duration Proxy

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.

a_max (m/s²)
Required number in m/s². Peak acceleration.
D_eff (s)
Required number in s. Effective strong-motion duration.

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

How Arias Intensity Duration Proxy works

Arias intensity proxy I_a ≈ (π/2g)·∫a² dt approximated by PGA² times effective duration. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

I_a (m/s)
Returned number in m/s. Arias intensity.

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.
  • a_max must be at least 0.
  • D_eff 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 intensity scales — Wikipedia contributors

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