Geology Batch Melting Calculator
Equilibrium batch melt and solid concentrations constant bulkD; F=0 infinitesimal melt limit, F=1 solid hypothetical not actual inventory. 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
Batch melting keeps melt and residue in equilibrium under a specified bulk partition coefficient.
Batch melting keeps melt and residue in equilibrium under a specified bulk partition coefficient.1
Melt fraction controls both melt and residual concentrations, with zero and complete melting serving as explicit mathematical endpoints. Use this tool to calculate batch melting from the supplied measurements and assumptions.
When to use Geology Batch Melting Calculator
Use this tool to calculate batch melting 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 Batch Melting Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter initialTrace, bulkPartition, meltFractions, using the field meanings and rules below, then run the tool.
- Read batchMelt, equilibriumSolid. 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 |
|---|---|---|---|
| initialTrace | Initial trace | number | Required |
| bulkPartition | Bulk partition | number | Required |
| meltFractions | Melt fractions | list of number | Required |
Require nonnegative initial concentration, positive partition coefficient and melt fractions from 0 through 1. Evaluate the equilibrium denominator D+F(1−D) and return melt concentration C0/denominator and solid concentration D times melt. Both endpoint fractions are accepted as mathematical model limits.
melt=C0/[D+F(1−D)]; solid=D×melt Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| batchMelt | Batch Melt; follow the units, sign, ordering and evidence convention stated above | list of number |
| equilibriumSolid | Equilibrium Solid; follow the units, sign, ordering and evidence convention stated above | list of number |
{
"input": {
"initialTrace": 10,
"bulkPartition": 0.5,
"meltFractions": [
0,
0.5,
1
]
},
"output": {
"batchMelt": [
20,
13.333333333333334,
10
],
"equilibriumSolid": [
10,
6.666666666666667,
5
]
}
}Limitations and assumptions
Melt fraction controls both melt and residual concentrations, with zero and complete melting serving as explicit mathematical endpoints. 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 Fractional Melting Calculator for this related task: Fractional melting removes successive melt increments from a reservoir under a specified partition coefficient.
Use Geology Mixing Hyperbola Calculator when its separate inputs and assumptions fit the question: Two-endmember isotope mixing weights each isotope ratio by its contributing element concentration.
References
-
Geology Batch Melting Calculator — tool.io
Similar or alternative tools
- Geology Fractional Melting Calculator
Fractional melting removes successive melt increments from a reservoir under a specified partition coefficient.
- Geology Mixing Hyperbola Calculator
Two-endmember isotope mixing weights each isotope ratio by its contributing element concentration.