Volume From Bathymetric Contours Calculator
Actualcontourarea-depthtrapezoidvolumecompletebottomcoverage,not stageinterpolationonly/mesh exactintegration. Actual independent model/unit/frame/epoch/calibration and applicable measurement established;not precise ephemeris,forecast,geodesy operation,identity or safety approval.
Description
Bathymetric contours pair depth with the area enclosed at each level.
Bathymetric contours pair depth with the area enclosed at each level.1
A trapezoidal volume estimate treats area as changing linearly between observed depths and needs complete bottom coverage.
When to use Volume From Bathymetric Contours Calculator
Use this tool to apply the stated volume from bathymetric contours calculator operation with an explicit input and unit basis.
How to use Volume From Bathymetric Contours Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualIncreasingDepthContoursMeters, actualContourEnclosedAreasM2 and run the tool.
- Read result.piecewiseLinearBathymetricVolumeM3 using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualIncreasingDepthContoursMeters | Increasing depth contours meters, on the basis specified in the algorithm. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
| actualContourEnclosedAreasM2 | Contour enclosed areas m2, on the basis specified in the algorithm. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
Require aligned nonempty arrays, first depth zero, last area zero, nonnegative nonincreasing areas and strictly increasing depths. Sum interval depth times the average adjacent areas.
volume m³ = Σ Δdepth × (areaᵢ + areaᵢ₋₁)/2 Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.piecewiseLinearBathymetricVolumeM3 | Trapezoidal bathymetric volume in cubic meters. | number |
{
"input": {
"actualIncreasingDepthContoursMeters": [
0,
1,
2
],
"actualContourEnclosedAreasM2": [
4,
2,
0
]
},
"output": {
"result": {
"piecewiseLinearBathymetricVolumeM3": 4
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Area At Stage Hypsograph Calculator. A hypsograph relates lake surface area to water level under a defined survey datum.
For a related operation, use Birgean Work Mixing Energy Calculator. Ideal mixing work measures the potential-energy change from homogenizing discrete lake layers.
References
Similar or alternative tools
- Area At Stage Hypsograph Calculator
A hypsograph relates lake surface area to water level under a defined survey datum.
- Birgean Work Mixing Energy Calculator
Ideal mixing work measures the potential-energy change from homogenizing discrete lake layers.