Geology Petrophysical Dielectric Permittivity Calculator
CRIM square-root volumetric dielectric mixing with independently measured same-frequency phases; not lithology identity or DC conductivity. 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
Effective dielectric permittivity depends on how constituent phases and pore fluids are mixed.
Effective dielectric permittivity depends on how constituent phases and pore fluids are mixed.1
A square-root mixing relation is a specified model, not a direct replacement for a frequency-matched dielectric measurement. Use this tool to calculate petrophysical dielectric permittivity from the supplied measurements and assumptions.
When to use Geology Petrophysical Dielectric Permittivity Calculator
Use this tool to calculate petrophysical dielectric permittivity 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 Petrophysical Dielectric Permittivity Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter phaseVolumeFractions, phaseRelativePermittivities, using the field meanings and rules below, then run the tool.
- Read crimEffectiveRelativePermittivity. 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 |
|---|---|---|---|
| phaseVolumeFractions | Phase volume fractions | list of number | Required |
| phaseRelativePermittivities | Phase relative permittivities | list of number | Required |
Enter nonempty aligned phase volume fractions from 0 to 1 and positive relative permittivities. Require the fraction sum to differ from 1 by at most 1e−10; no renormalization occurs. Sum fraction-weighted square roots of permittivity and square the result.
effectivePermittivity=(Σfraction_i×√permittivity_i)² Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| crimEffectiveRelativePermittivity | Crim Effective Relative Permittivity; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"phaseVolumeFractions": [
0.5,
0.5
],
"phaseRelativePermittivities": [
1,
9
]
},
"output": {
"crimEffectiveRelativePermittivity": 4
}
}Limitations and assumptions
A square-root mixing relation is a specified model, not a direct replacement for a frequency-matched dielectric measurement. 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 Petrophysical Cementation Exponent M Calculator for this related task: A cementation exponent describes the fitted relationship between porosity and electrical formation factor in an adopted power-law model.
Use Geology Permeability Kozeny Carman Calculator when its separate inputs and assumptions fit the question: The Kozeny–Carman relation connects grain scale, porosity and an adopted geometric constant to intrinsic permeability.
References
Similar or alternative tools
- Geology Petrophysical Cementation Exponent M Calculator
A cementation exponent describes the fitted relationship between porosity and electrical formation factor in an adopted power-law model.
- Geology Permeability Kozeny Carman Calculator
The Kozeny–Carman relation connects grain scale, porosity and an adopted geometric constant to intrinsic permeability.