Tau-P Travel Time Anchor Interpolation Calculator

Linearly interpolate P travel time between supplied distance anchors.

Description

Linearly interpolate P travel time between supplied distance anchors.

Tau-P Travel Time Anchor Interpolation Calculator is a focused tool for the following task. Linearly interpolate P travel time between supplied distance anchors. It reports t(Δ*), dt/dΔ from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Tau-P Travel Time Anchor Interpolation

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.

Δ_i
Required list. Anchor distances (ascending).
t_i
Required list. Travel times at anchors.
Δ* (°)
Required number in °. Target distance.

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

How Tau-P Travel Time Anchor Interpolation works

Linearly interpolate P travel time between supplied distance anchors. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

t(Δ*) (s)
Returned number in s. Interpolated travel time.
dt/dΔ (s/°)
Returned number in s/°. Local segment slowness.

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.
  • Δ* 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. Seismology — Wikipedia contributors

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