Subsidence Curvature Calculator
Differentiate actual unequal-grid downward-positive subsidence survey twice, not analytic caller Gaussian tilt/strain or building-damage prediction. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Subsidence curvature measures change in slope across a measured displacement profile.
Subsidence curvature measures change in slope across a measured displacement profile.1
Unequal station spacing requires using both neighboring secants and the full surrounding interval.
When to use Subsidence Curvature Calculator
Use this tool to calculate or review the supplied observations under the stated rules. Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
How to use Subsidence Curvature Calculator and understand its results
- Match completed survey or ledger observations by block, segment or stage and confirm their units and boundaries.
- Enter observedSubsidenceStationsM, observedDownwardPositiveSubsidenceM, using the field meanings and rules below, then run the tool.
- Read observedInteriorSubsidenceCurvaturePerM. Inspect nested result fields where present, and review unknown records separately from known matches.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedSubsidenceStationsM | Observed subsidence stations m | list of number | Required |
| observedDownwardPositiveSubsidenceM | Observed downward positive subsidence m | list of number | Required |
Supply at least three aligned finite stations and downward-positive displacement values, with stations strictly increasing. Compute the change between the right and left secant slopes times two divided by the outer station separation. Return one signed curvature per interior station and no endpoint estimates.
curvature_i=2[(y_(i+1)−y_i)/(x_(i+1)−x_i)−(y_i−y_(i−1))/(x_i−x_(i−1))]/(x_(i+1)−x_(i−1)) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedInteriorSubsidenceCurvaturePerM | Observed interior subsidence curvature per m | list of number |
{
"input": {
"observedSubsidenceStationsM": [
0,
1,
3
],
"observedDownwardPositiveSubsidenceM": [
0,
1,
9
]
},
"output": {
"observedInteriorSubsidenceCurvaturePerM": [
2
]
}
}Limitations and assumptions
Units, ledger boundaries, survey interpretation and model applicability must be independently established. These summaries do not assign reserve/resource classifications or establish support adequacy, ventilation safety or an operating setting.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.
Alternative or Complementary methods
For a related step, use Angle of Draw Subsidence Calculator: An angle of draw relates a measured subsidence-limit offset to panel depth. For a complementary comparison, use Haul Road Grade Calculator: Road grade is the signed elevation change divided by station distance.
References
-
Subsidence Curvature Calculator — tool.io
Similar or alternative tools
- Angle of Draw Subsidence Calculator
An angle of draw relates a measured subsidence-limit offset to panel depth.
- Haul Road Grade Calculator
Road grade is the signed elevation change divided by station distance.