GMM Total Dispersion Tau Sigma Combine Calculator
Total GMM dispersion σ_T = √(τ² + σ²).
Description
Total GMM dispersion σ_T = √(τ² + σ²).
GMM Total Dispersion Tau Sigma Combine Calculator is a focused tool for the following task. Total GMM dispersion σ_T = √(τ² + σ²). It reports σ_T from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use GMM Total Dispersion Tau Sigma Combine
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.
- τ
- Required number. Between-event sigma.
- σ
- Required number. Within-event sigma.
The cited overview of Seismology supplies background for the terminology and domain context used by this tool.1
How GMM Total Dispersion Tau Sigma Combine works
Total GMM dispersion σ_T = √(τ² + σ²). Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- σ_T
- Returned number. Total standard deviation.
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.
- τ must be at least 0.
- σ 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
-
Seismology — Wikipedia contributors
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