beta_to_lorenz
Convert Dykstra-Parsons beta coefficients to Lorenz coefficients for reservoir heterogeneity analysis, enabling comparison of literature data and reservoir metrics.
Instructions
Convert Dykstra-Parsons beta to Lorenz coefficient.
HETEROGENEITY CONVERSION - Converts beta parameter to Lorenz coefficient. Essential for converting literature data and comparing reservoirs using different heterogeneity metrics.
Parameters:
value (float, required): Dykstra-Parsons beta coefficient (0-1). Must be 0 ≤ β ≤ 1. Typical: 0.3-0.8. Example: 0.6 for moderate heterogeneity.
Dykstra-Parsons Beta (β):
Permeability variation coefficient (dimensionless, 0-1)
β = (k50 - k84.1) / k50
Based on log-normal permeability distribution
Requires permeability data (core, logs)
Common in literature and older studies
Lorenz Coefficient (L):
Ranges from 0 (homogeneous) to 1 (completely heterogeneous)
Based on cumulative flow capacity vs cumulative storage capacity
Directly measurable from production data
More intuitive for production analysis
Typical Ranges:
β < 0.5: Low heterogeneity (L ~ 0.2-0.3)
β = 0.5-0.7: Moderate (L ~ 0.3-0.5)
β > 0.7: High heterogeneity (L > 0.5)
Use Cases:
Literature Conversion: Convert published beta values to Lorenz
Reservoir Comparison: Compare reservoirs using different metrics
Simulation Input: Convert beta to Lorenz for simulation models
Reservoir Analog Studies: Use analog beta values with Lorenz-based tools
Historical Data: Convert old Dykstra-Parsons studies to modern metrics
Returns: Dictionary with:
lorenz_coefficient (float): Lorenz coefficient (0-1)
beta (float): Input beta coefficient
method (str): "Dykstra-Parsons to Lorenz conversion"
inputs (dict): Echo of input parameters
Common Mistakes:
Beta coefficient outside valid range (must be 0-1)
Confusing beta with other variation coefficients
Using beta from wrong distribution (must be log-normal)
Not understanding that conversion is approximate (depends on distribution)
Example Usage:
{
"value": 0.6
}Result: L ≈ 0.4-0.5 (moderate heterogeneity).
Note: Conversion assumes log-normal permeability distribution. For non-log-normal distributions, conversion may be less accurate. Always validate against actual production data when possible.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| request | Yes |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
No arguments | |||