Geology Balanced Cross Section Line Length Calculator
Balanced cross-section actual polyline arc-length audit against independent restoration evidence, not end-to-end shortcut. 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
A balanced-section line length sums distances along an independently ordered polyline.
A balanced-section line length sums distances along an independently ordered polyline.1
Comparing it with a restored reference length gives a signed mismatch without proving that the section is geometrically or geologically balanced. Use this tool to calculate balanced cross section line length from the supplied measurements and assumptions.
When to use Geology Balanced Cross Section Line Length Calculator
Use this tool to calculate balanced cross section line length 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 Balanced Cross Section Line Length Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter sectionVertices, independentRestoredLineLengthM, using the field meanings and rules below, then run the tool.
- Read observedLineLengthM, signedRestorationResidualM. 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 |
|---|---|---|---|
| sectionVertices | Section vertices | list of list of number | Required |
| independentRestoredLineLengthM | Independent restored line length m | number | Required |
Enter a matrix of at least two ordered two-component vertices and a positive restored reference length in meters. Sum Euclidean distances between consecutive vertices and subtract the reference length. Repeated adjacent vertices can contribute zero; no polygon closure or section-balance constraints are imposed.
observedLength=Σhypot(x_(i+1)−x_i,y_(i+1)−y_i); residual=observedLength−restoredLength Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| observedLineLengthM | Observed Line Length M; follow the units, sign, ordering and evidence convention stated above | number |
| signedRestorationResidualM | Signed Restoration Residual M; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"sectionVertices": [
[
0,
0
],
[
3,
4
],
[
6,
4
]
],
"independentRestoredLineLengthM": 8
},
"output": {
"observedLineLengthM": 8,
"signedRestorationResidualM": 0
}
}Limitations and assumptions
Comparing it with a restored reference length gives a signed mismatch without proving that the section is geometrically or geologically balanced. 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 Flexural Slip Restoration Calculator for this related task: Flexural slip relates bed separation and rotation to an idealized relative displacement.
Use Geology Fault Bend Fold Kink Angle Calculator when its separate inputs and assumptions fit the question: A kink-angle comparison measures the signed difference between two independently measured limb orientations.
References
Similar or alternative tools
- Geology Flexural Slip Restoration Calculator
Flexural slip relates bed separation and rotation to an idealized relative displacement.
- Geology Fault Bend Fold Kink Angle Calculator
A kink-angle comparison measures the signed difference between two independently measured limb orientations.