Geology Seismic B Value From Catalog Calculator
Declared discrete-bin AkiMLEb=log10(e)/(meanM−(Mc−ΔM/2)), complete actual catalog above independently verified Mc. Declustering, completeness, bin origin and uncertainty external; not fault recurrence forecast.
Description
A seismic b-value describes the magnitude-frequency distribution under an adopted catalogue model.
A seismic b-value describes the magnitude-frequency distribution under an adopted catalogue model.1
Completeness magnitude and bin width must be independently established. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Geology Seismic B Value From Catalog Calculator
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
How to use Geology Seismic B Value From Catalog Calculator and understand its results
- Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
- Enter actualCompleteCatalogMagnitudes, callerIndependentlyEstablishedCompletenessMagnitude, actualMagnitudeBinWidth, using the field meanings and rules below, then run the tool.
- Read result.conditionalAkiBEstimate. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualCompleteCatalogMagnitudes | Actual complete catalog magnitudes | list of number | Required |
| callerIndependentlyEstablishedCompletenessMagnitude | Caller independently established completeness magnitude | number | Required |
| actualMagnitudeBinWidth | Actual magnitude bin width | number | Required |
Require a nonempty finite magnitude list with every value at least the independently established completeness magnitude. Bin width must be positive. Compute log10(e)/(meanMagnitude−(Mc−binWidth/2)), requiring a positive denominator. No completeness estimation, bin assignment or uncertainty calculation is performed.
AkiB=log10(e)/(mean(magnitudes)−Mc+binWidth/2) Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.conditionalAkiBEstimate | Conditional Aki B Estimate; use the units, sign convention and calculation stated above | number |
{
"input": {
"actualCompleteCatalogMagnitudes": [
2,
3,
4
],
"callerIndependentlyEstablishedCompletenessMagnitude": 2,
"actualMagnitudeBinWidth": 0.2
},
"output": {
"result": {
"conditionalAkiBEstimate": 0.39481316536659256
}
}
}Limitations and assumptions
Completeness magnitude and bin width must be independently established. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Geology Seismic Recurrence Interval Calculator to examine a related aspect: Seismic recurrence intervals describe gaps between qualifying recorded events.
Use Geology Seismic Magnitude From Fault Length Calculator where its separate inputs and scope apply: Fault-length magnitude relationships depend on an applicable empirical calibration.
References
Similar or alternative tools
- Geology Seismic Recurrence Interval Calculator
Seismic recurrence intervals describe gaps between qualifying recorded events.
- Geology Seismic Magnitude From Fault Length Calculator
Fault-length magnitude relationships depend on an applicable empirical calibration.