Isomass Loading GM2 Contour Tool
Locate a target isomass contour by log loading versus square-root enclosed area; supplied areas require no coordinates, circular radius is an equivalent proxy, not a mapped boundary.
Description
An isomass contour joins equal deposit mass loading.
An isomass contour joins equal deposit mass loading. Square-root area is a distance-like variable for interpolating a declining loading profile.
Locate a target isomass contour by log loading versus square-root enclosed area; supplied areas require no coordinates, circular radius is an equivalent proxy, not a mapped boundary.
When to use Isomass Loading GM2 Contour Tool
Use this tool to locate a target isomass contour by log loading versus square-root enclosed area; supplied areas require no coordinates, circular radius is an equivalent proxy, not a mapped boundary.
Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
How to use Isomass Loading GM2 Contour Tool and understand its results
- Gather the relevant observations and fitted model parameters. Use the stated units and time basis; keep paired observations aligned.
- Enter enclosedContourAreasM2, contourMassLoadingsGramsPerM2, targetMassLoadingGramsPerM2 using the field table and calculation rules, then run the tool.
- Read interpolatedIsomassAreaM2, equivalentCircularRadiusM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| enclosedContourAreasM2 | Enclosed contour areas m2 | list of number | Required |
| contourMassLoadingsGramsPerM2 | Contour mass loadings grams per m2 | list of number | Required |
| targetMassLoadingGramsPerM2 | Target mass loading grams per m2 | number | Required |
Use increasing positive enclosed areas with strictly declining positive loadings and a positive target. Find the unique bracketed target in transformed coordinates, square the interpolated root area and report its circular-equivalent radius.1
Paired lists must be nonempty and have equal lengths. Each sequence checked for increasing order must contain at least two strictly increasing values.
interpolate ln(loading) against sqrt(area); radius = sqrt(area/π) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedIsomassAreaM2 | Interpolated isomass area m2 | number |
| equivalentCircularRadiusM | Equivalent circular radius m | number |
{
"input": {
"enclosedContourAreasM2": [
100,
400,
900
],
"contourMassLoadingsGramsPerM2": [
100,
10,
1
],
"targetMassLoadingGramsPerM2": 10
},
"output": {
"interpolatedIsomassAreaM2": 400,
"equivalentCircularRadiusM": 11.283791670955127
}
}Limitations and assumptions
No extrapolation or geographic boundary is returned.
Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Plinian Dispersal Axis Isopach Area: Estimate contour-volume from supplied elliptical axes, trapezoidal thickness-area annuli, caller inner plateau and independently supplied outer tail; no dispersal-axis coordinate extraction or infinite-tail extrapolation. For a complementary task, use Ashfall Load Thickness Conversion: Convert distinct dry ash layers and independently retained water into surface mass/weight load; dry bulk density includes pores, and structural capacity or collapse is not assessed.
References
-
Isomass Loading GM2 Contour Tool — tool.io
Similar or alternative tools
- Plinian Dispersal Axis Isopach Area
Estimate contour-volume from supplied elliptical axes, trapezoidal thickness-area annuli, caller inner plateau and independently supplied outer tail; no dispersal-axis coordinate extraction or infinite-tail extrapolation.
- Ashfall Load Thickness Conversion
Convert distinct dry ash layers and independently retained water into surface mass/weight load; dry bulk density includes pores, and structural capacity or collapse is not assessed.