Geology Seismic Magnitude From Fault Length Calculator
Conditional independently matched piecewise-linear independently calibrated fault-length/magnitude relation for actual fault type and rupture definition reference interpolation. Strictly increasing verifiedRuptureLengthKmKnots and aligned same-unit verifiedMagnitudeKnots required, no extrapolation. Examples are illustrative knots, not verified normative data; actual calibration, branch selection, uncertainty and applicability external. Not automatic parameter fitting, physical identity, clinical recommendation or a validated hazard forecast.
Description
Fault-length magnitude relationships depend on an applicable empirical calibration.
Fault-length magnitude relationships depend on an applicable empirical calibration.1
Interpolation uses the supplied rupture-length curve rather than choosing a universal law. Use this tool to interpolate a value on an independently matched caller calibration.
When to use Geology Seismic Magnitude From Fault Length Calculator
Use this tool to interpolate a value on an independently matched caller calibration. Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
How to use Geology Seismic Magnitude From Fault Length Calculator and understand its results
- Establish the sample and coordinate basis, matching units, calibration source and applicable model assumptions.
- Enter callerVerifiedSource, callerVerifiedContext, callerVerifiedAsOfDate, verifiedRuptureLengthKmKnots, verifiedMagnitudeKnots, observedQueryCoordinate, using the field meanings and rules below, then run the tool.
- Read result.conditionalInterpolatedValue, result.source, result.context, result.asOfDate. 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 |
|---|---|---|---|
| callerVerifiedSource | Caller verified source; caller assertion whose applicability must be independently established | string | Required |
| callerVerifiedContext | Caller verified context; caller assertion whose applicability must be independently established | string | Required |
| callerVerifiedAsOfDate | Caller verified as of date; real Gregorian YYYY-MM-DD date for the supplied record | string | Required |
| verifiedRuptureLengthKmKnots | Verified rupture length km knots | list of number | Required |
| verifiedMagnitudeKnots | Verified magnitude knots | list of number | Required |
| observedQueryCoordinate | Observed query coordinate; exact key or bounded coordinate, according to the rules below | number | Required |
Supply nonblank source/context strings of at most 1024 UTF-16 units and a real Gregorian as-of date. Enter at least two aligned finite verifiedRuptureLengthKmKnots and verifiedMagnitudeKnots values. The first coordinate list must be strictly increasing; the query must lie between its first and last knots, including endpoints. Locate the enclosing pair and interpolate its second coordinate linearly, then return the value and caller provenance. Response knots need not be monotone or positive; the helper does not enforce physical temperature or diameter bounds. Independently establish units and calibration suitability.
y(q)=y_j+(q−x_j)×(y_(j+1)−y_j)/(x_(j+1)−x_j); x=verifiedRuptureLengthKmKnots, y=verifiedMagnitudeKnots 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.conditionalInterpolatedValue | Second-coordinate value linearly interpolated from the caller reference, in its declared units | number |
| result.source | Caller source assertion copied unchanged | string |
| result.context | Caller applicability context copied unchanged | string |
| result.asOfDate | Caller date copied unchanged after Gregorian validation | string |
{
"input": {
"callerVerifiedSource": "independently-calibrated-study/edition",
"callerVerifiedContext": "independently calibrated fault-length/magnitude relation for actual fault type and rupture definition; actual material/cohort, method, units and applicability independently verified",
"callerVerifiedAsOfDate": "2026-01-01",
"verifiedRuptureLengthKmKnots": [
1,
2
],
"verifiedMagnitudeKnots": [
10,
20
],
"observedQueryCoordinate": 1.5
},
"output": {
"result": {
"conditionalInterpolatedValue": 15,
"source": "independently-calibrated-study/edition",
"context": "independently calibrated fault-length/magnitude relation for actual fault type and rupture definition; actual material/cohort, method, units and applicability independently verified",
"asOfDate": "2026-01-01"
}
}
}Limitations and assumptions
Interpolation stays inside the supplied knots. The tool does not fit a calibration, verify its source or enforce physical bounds on interpolated response values.
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 B Value From Catalog Calculator where its separate inputs and scope apply: A seismic b-value describes the magnitude-frequency distribution under an adopted catalogue model.
References
Similar or alternative tools
- Geology Seismic Recurrence Interval Calculator
Seismic recurrence intervals describe gaps between qualifying recorded events.
- Geology Seismic B Value From Catalog Calculator
A seismic b-value describes the magnitude-frequency distribution under an adopted catalogue model.