Geology Joint Roughness Coefficient Jrc Calculator
JRC interpolation from caller independently measured same-scale/sampling roughness coordinates and verified JRC calibration, no universal visual JRC estimator. Conditional independently matched piecewise-linear calibration, no extrapolation. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.
Description
Joint roughness depends on measurement scale and a specified calibration or comparison protocol.
Joint roughness depends on measurement scale and a specified calibration or comparison protocol.1
This tool evaluates a caller-supplied curve rather than deriving a roughness coefficient from a scanned fracture surface. Use this tool to interpolate the supplied calibration and inspect its local slope.
When to use Geology Joint Roughness Coefficient Jrc Calculator
Use this tool to interpolate the supplied calibration and inspect its local slope. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
How to use Geology Joint Roughness Coefficient Jrc Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter observedJrcProfileRoughnessCoordinates, callerMatchedJrcProfileRoughnessResponses, queryJrcProfileRoughnessCoordinate, using the field meanings and rules below, then run the tool.
- Read interpolatedResponse, localObservedSlope. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedJrcProfileRoughnessCoordinates | Observed jrc profile roughness coordinates | list of number | Required |
| callerMatchedJrcProfileRoughnessResponses | Caller matched jrc profile roughness responses | list of number | Required |
| queryJrcProfileRoughnessCoordinate | Query jrc profile roughness coordinate | number | Required |
Enter at least two aligned finite calibration coordinates and responses. Coordinates must be strictly increasing, and the query must be within the first and last coordinates, including endpoints. Interpolate the response linearly on its enclosing segment and return the response plus that segment's slope. At an internal knot the slope uses the segment to its right; at the last knot it uses the last segment. There is no extrapolation, curve fitting or built-in calibration, and response knots need not be monotonic. Independently establish coordinate and response units and applicable calibration scope.
y(q)=y_j+(q−x_j)×(y_(j+1)−y_j)/(x_(j+1)−x_j); localSlope=(y_(j+1)−y_j)/(x_(j+1)−x_j) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedResponse | Piecewise-linear response at the query, in the caller response unit | number |
| localObservedSlope | Enclosing segment response change per coordinate unit, using the knot-side convention above | number |
{
"input": {
"observedJrcProfileRoughnessCoordinates": [
1,
2,
3
],
"callerMatchedJrcProfileRoughnessResponses": [
2,
4,
8
],
"queryJrcProfileRoughnessCoordinate": 2.5
},
"output": {
"interpolatedResponse": 6,
"localObservedSlope": 4
}
}Limitations and assumptions
Results are confined to the supplied calibration interval. The tool does not establish a valid physical calibration, propagate measurement uncertainty or guarantee that linear segments represent the underlying process.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Geology Vitrinite Reflectance Ro Calculator for this related task: Vitrinite reflectance compares measured optical response with a laboratory calibration.
Use Geology Conodont Color Alteration Index Cai Calculator when its separate inputs and assumptions fit the question: A conodont color alteration interpretation requires a matched reference and independently observed color or measurement.
References
Similar or alternative tools
- Geology Vitrinite Reflectance Ro Calculator
Vitrinite reflectance compares measured optical response with a laboratory calibration.
- Geology Conodont Color Alteration Index Cai Calculator
A conodont color alteration interpretation requires a matched reference and independently observed color or measurement.