Cave Volume from Cross Sections Integrator
Piecewise-linear cross-section cave-volume integration along actual independently defined centerline coordinates. Unmapped lobes and unsampled geometry external; not exact true volume.
Description
Cross-sectional areas measured along a passage describe sampled geometry.
Cross-sectional areas measured along a passage describe sampled geometry.1
Integrating a piecewise-linear area profile gives a conditional volume over that surveyed span.
When to use Cave Volume from Cross Sections Integrator
Use this tool to obtain conditionalTrapezoidalCaveVolumeCubicMeters from the supplied records using the stated calculation. Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
How to use Cave Volume from Cross Sections Integrator and understand its results
- Establish the survey or observation scope, reference frame, units and independently applicable calibration or qualified plan.
- Enter actualAlongPassageCoordinatesMeters, actualMeasuredCrossSectionAreasSquareMeters, using the field meanings and rules below, then run the tool.
- Read result.conditionalTrapezoidalCaveVolumeCubicMeters. Use the units and sign conventions below, and review any unknown records separately.
- 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 |
|---|---|---|---|
| actualAlongPassageCoordinatesMeters | Actual along passage coordinates meters | list of number | Required |
| actualMeasuredCrossSectionAreasSquareMeters | Actual measured cross section areas square meters | list of number | Required |
Supply at least two aligned finite along-passage coordinates in strictly increasing order and nonnegative cross-sectional areas. Sum trapezoids between neighboring samples; coordinates need not start at zero and are not required to be nonnegative. Return the modeled volume in cubic metres over that sampled span.
volumeM3=Σ((x_(i+1)−x_i)×(area_i+area_(i+1))/2) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.conditionalTrapezoidalCaveVolumeCubicMeters | Conditional Trapezoidal Cave Volume Cubic Meters | number |
{
"input": {
"actualAlongPassageCoordinatesMeters": [
0,
2,
5
],
"actualMeasuredCrossSectionAreasSquareMeters": [
1,
2,
2
]
},
"output": {
"result": {
"conditionalTrapezoidalCaveVolumeCubicMeters": 9
}
}
}Limitations and assumptions
The actual observation coverage, calibration and qualified plan determine applicability. A numerical result does not establish survey accuracy, route suitability, atmosphere conditions or equipment adequacy beyond the declared comparison.
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, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Rimstone Dam Pool Volume Terraced Calculator: Terraced pool volume relates each plan area to its independently measured area-mean water depth. For a complementary comparison, use Passage Cross Section Area Estimator: An ordered surveyed passage boundary can define a simple polygonal cross-section.
References
Similar or alternative tools
- Rimstone Dam Pool Volume Terraced Calculator
Terraced pool volume relates each plan area to its independently measured area-mean water depth.
- Passage Cross Section Area Estimator
An ordered surveyed passage boundary can define a simple polygonal cross-section.