Geology Subsidence Bowl Volume Calculator
Exact integral2πr×piecewise-linear measured subsidence profile, explicit axisymmetry and observed zero edge; unlike depth×footprint. 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
An axisymmetric subsidence bowl can be integrated from radial displacement measurements.
An axisymmetric subsidence bowl can be integrated from radial displacement measurements.1
The integration weights displacement by circumference, so a radial profile area alone is insufficient to obtain volume. Use this tool to calculate subsidence bowl volume from the supplied measurements and assumptions.
When to use Geology Subsidence Bowl Volume Calculator
Use this tool to calculate subsidence bowl volume from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
How to use Geology Subsidence Bowl Volume Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter radialCoordinatesM, axisymmetricDownwardDisplacementsM, using the field meanings and rules below, then run the tool.
- Read axisymmetricBowlVolumeM3. 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 |
|---|---|---|---|
| radialCoordinatesM | Radial coordinates m | list of number | Required |
| axisymmetricDownwardDisplacementsM | Axisymmetric downward displacements m | list of number | Required |
Use at least two strictly increasing nonnegative radii beginning at zero, with aligned nonnegative downward displacements ending at zero. Assume displacement varies linearly within each radial segment and integrate 2πr×displacement exactly for those segments. Return cubic meters for meter inputs. The tool assumes axisymmetry and does not interpolate azimuthal variation.
V=2πΣ[(b−a)×(u×(2a+b)+v×(a+2b))/6], segment radii a,b and endpoint displacements u,v Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| axisymmetricBowlVolumeM3 | Axisymmetric Bowl Volume M3; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"radialCoordinatesM": [
0,
1,
2
],
"axisymmetricDownwardDisplacementsM": [
1,
1,
0
]
},
"output": {
"axisymmetricBowlVolumeM3": 7.330382858376183
}
}Limitations and assumptions
The integration weights displacement by circumference, so a radial profile area alone is insufficient to obtain volume. Interpretation depends on the units, sampling scope and exact model described above.
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 Landslide Volume Calculator for this related task: Differencing aligned pre-event and post-event surface heights gives signed change within each measured cell.
Use Geology Geomechanics Mohr Coulomb Cohesion From Hoek Brown Calculator when its separate inputs and assumptions fit the question: An equivalent Mohr–Coulomb envelope can be fitted over a selected confining-stress interval.
References
Similar or alternative tools
- Geology Landslide Volume Calculator
Differencing aligned pre-event and post-event surface heights gives signed change within each measured cell.
- Geology Geomechanics Mohr Coulomb Cohesion From Hoek Brown Calculator
An equivalent Mohr–Coulomb envelope can be fitted over a selected confining-stress interval.