Geology Fracture Transmissivity Cubic Law Calculator
Fluid-dependent cubic-lawρgb³/(12μ) fracture transmissivity; distinct from intrinsic b²/12. 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
The cubic law models laminar flow through an idealized parallel-plate fracture.
The cubic law models laminar flow through an idealized parallel-plate fracture.1
Hydraulic transmissivity includes fluid density, gravity and viscosity, unlike intrinsic permeability or permeability-times-width alone. Use this tool to calculate fracture transmissivity cubic law from the supplied measurements and assumptions.
When to use Geology Fracture Transmissivity Cubic Law Calculator
Use this tool to calculate fracture transmissivity cubic law 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 Fracture Transmissivity Cubic Law Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter hydraulicApertureM, fluidDensityKgM3, gravityMSecond2, viscosityPaSecond, using the field meanings and rules below, then run the tool.
- Read fractureTransmissivityM2Second. 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 |
|---|---|---|---|
| hydraulicApertureM | Hydraulic aperture m | number | Required |
| fluidDensityKgM3 | Fluid density kg m3 | number | Required |
| gravityMSecond2 | Gravity m second2 | number | Required |
| viscosityPaSecond | Viscosity pa second | number | Required |
Require positive aperture in meters, density in kg/m³, gravity in m/s² and viscosity in Pa·s. Apply the cubic law and return hydraulic transmissivity in m²/s. Roughness, channel contact and nonlaminar corrections are not modeled.
T_m²/s=density×gravity×aperture³/(12×viscosity) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| fractureTransmissivityM2Second | Fracture Transmissivity M2 Second; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"hydraulicApertureM": 0.01,
"fluidDensityKgM3": 1000,
"gravityMSecond2": 10,
"viscosityPaSecond": 0.01
},
"output": {
"fractureTransmissivityM2Second": 0.08333333333333336
}
}Limitations and assumptions
Hydraulic transmissivity includes fluid density, gravity and viscosity, unlike intrinsic permeability or permeability-times-width alone. 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 Hydraulic Fracture Conductivity Calculator for this related task: Fracture conductivity is the product of intrinsic permeability and an effective fracture width in the adopted model.
Use Geology Fracture Permeability Parallel Plate Calculator when its separate inputs and assumptions fit the question: An ideal parallel-plate fracture has intrinsic permeability proportional to the square of its aperture.
References
Similar or alternative tools
- Geology Hydraulic Fracture Conductivity Calculator
Fracture conductivity is the product of intrinsic permeability and an effective fracture width in the adopted model.
- Geology Fracture Permeability Parallel Plate Calculator
An ideal parallel-plate fracture has intrinsic permeability proportional to the square of its aperture.