Tilt Vector Magma Depth Estimate Calculator
Infer source-depth coordinate from independently supplied invertible model-specific tilt-shape ratio/depth calibration; full source geometry and nuisance parameters fixed externally, no fabricated Mogi inversion. Independently matched piecewise-linear calibration, no extrapolation. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
A tilt pattern can be compared with a depth calibration only after the source geometry and other model parameters have been independently established.
A tilt pattern can be compared with a depth calibration only after the source geometry and other model parameters have been independently established.1
This tool interpolates a supplied tilt-shape coordinate and its matched depth response.
When to use Tilt Vector Magma Depth Estimate Calculator
Use this tool when you need to read an in-range response and slope from a matched calibration. Prepare matched observations and independently established site, specimen, units, datum, and calibration context.
How to use Tilt Vector Magma Depth Estimate Calculator and understand its results
- Prepare matched observations and independently established site, specimen, units, datum, and calibration context.
- Enter observedTiltShapeRatioCoordinates, callerVerifiedTiltShapeRatioResponses, queryTiltShapeRatioCoordinate, following the field table and rules below, then run the tool.
- Read interpolatedMatchedResponse, localObservedSlope. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedTiltShapeRatioCoordinates | Observed tilt shape ratio coordinates | list of number | Required |
| callerVerifiedTiltShapeRatioResponses | Caller verified tilt shape ratio responses | list of number | Required |
| queryTiltShapeRatioCoordinate | Query tilt shape ratio coordinate | number | Required |
Use at least two aligned measured coordinate and response pairs with coordinates strictly increasing. Enter a query within the closed measured coordinate interval. Interpolate linearly between bracketing samples and report that segment’s response-per-coordinate slope. An exact knot returns its measured response; slope uses the segment to the right, except the final knot uses the last segment. Values outside the observed interval are rejected, not extrapolated.
t=(q−x_i)/(x_(i+1)−x_i); response=(1−t)y_i+ty_(i+1); slope=(y_(i+1)−y_i)/(x_(i+1)−x_i) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedMatchedResponse | Interpolated matched response | number |
| localObservedSlope | Local observed slope | number |
{
"input": {
"observedTiltShapeRatioCoordinates": [
1,
2,
3
],
"callerVerifiedTiltShapeRatioResponses": [
2,
4,
8
],
"queryTiltShapeRatioCoordinate": 2.5
},
"output": {
"interpolatedMatchedResponse": 6,
"localObservedSlope": 4
}
}Limitations and assumptions
The response and slope belong to the supplied matched branch. No universal material constants, live measurement, confidence interval, or prediction beyond the observed range is provided.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above.
Alternative or Complementary methods
For a related review, use Resurgent Dome Tilt Microradians Calculator: A differential rise measured over a horizontal baseline defines an angular tilt. Using the arctangent retains the finite-angle geometry instead of treating rise divided by baseline as an exact angle. For a complementary step, use Caldera Resurgence Uplift Rate Calculator: Caldera resurgence surveys can contain both dome motion and reference motion. Fitting the dome-minus-stable-reference elevation series estimates a signed relative uplift trend.
References
Similar or alternative tools
- Resurgent Dome Tilt Microradians Calculator
A differential rise measured over a horizontal baseline defines an angular tilt. Using the arctangent retains the finite-angle geometry instead of treating rise divided by baseline as an exact angle.
- Caldera Resurgence Uplift Rate Calculator
Caldera resurgence surveys can contain both dome motion and reference motion. Fitting the dome-minus-stable-reference elevation series estimates a signed relative uplift trend.