Resurgent Dome Tilt Microradians Calculator
Actual finite-baseline angular tilt atan(Δh/L) in microradians, not small-angle exactness or uplift-only rate. 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 differential rise measured over a horizontal baseline defines an angular tilt.
A differential rise measured over a horizontal baseline defines an angular tilt.1
Using the arctangent retains the finite-angle geometry instead of treating rise divided by baseline as an exact angle.
When to use Resurgent Dome Tilt Microradians Calculator
Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare matched observations and independently established site, specimen, units, datum, and calibration context.
How to use Resurgent Dome Tilt Microradians Calculator and understand its results
- Prepare matched observations and independently established site, specimen, units, datum, and calibration context.
- Enter observedDomeDifferentialRiseM, observedTiltBaselineM, following the field table and rules below, then run the tool.
- Read observedResurgentTiltMicroradians. 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 |
|---|---|---|---|
| observedDomeDifferentialRiseM | Observed dome differential rise m | list of number | Required |
| observedTiltBaselineM | Observed tilt baseline m | list of number | Required |
Enter aligned nonempty lists of signed rises and positive baselines, both in metres. Return one arctangent angle per pair, multiplied by one million to convert radians to microradians.
tilt_µrad = 10^6 × atan(rise/baseline) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedResurgentTiltMicroradians | Observed resurgent tilt microradians | list of number |
{
"input": {
"observedDomeDifferentialRiseM": [
0.001,
0.004
],
"observedTiltBaselineM": [
10,
20
]
},
"output": {
"observedResurgentTiltMicroradians": [
99.99999966666667,
199.9999973333334
]
}
}Limitations and assumptions
Interpretation requires independently matched observations, units, site or specimen, and calibration. The calculation does not establish geological identity, operating safety, or an eruption forecast.
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 Tilt Vector Magma Depth Estimate Calculator: A tilt pattern can be compared with a depth calibration only after the source geometry and other model parameters have been independently established. This tool interpolates a supplied tilt-shape coordinate and its matched depth response. 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
- Tilt Vector Magma Depth Estimate Calculator
A tilt pattern can be compared with a depth calibration only after the source geometry and other model parameters have been independently established. This tool interpolates a supplied tilt-shape coordinate and its matched depth response.
- 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.