S-P Interval Hypocentral Distance Calculator

Hypocentral distance from the S-minus-P interval in a single-layer model: d = Δt / (1/V_s − 1/V_p).

Description

Hypocentral distance from the S-minus-P interval in a single-layer model: d = Δt / (1/V_s − 1/V_p).

S-P Interval Hypocentral Distance Calculator is a focused tool for the following task. Hypocentral distance from the S-minus-P interval in a single-layer model: d = Δt / (1/V_s − 1/V_p). It reports d, t_p from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use S-P Interval Hypocentral Distance

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.

Δt (s)
Required number in s. S−P arrival-time interval.
V_p (km/s)
Optional number in km/s. P-wave speed.
V_s (km/s)
Optional number in km/s. S-wave speed.

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

How S-P Interval Hypocentral Distance works

Hypocentral distance from the S-minus-P interval in a single-layer model: d = Δt / (1/V_s − 1/V_p). Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

d (km)
Returned number in km. Hypocentral (slant) distance.
t_p (s)
Returned number in s. P travel time for that distance.

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.
  • Δt 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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