Quick Answer
Calculate Ore Body Geometry Confidence Volume Estimator (Geostatistical Ellipsoidal Confidence Model)
Calculator
Result Interpretation
Ore Body Geometry Confidence Volume Estimator (Geostatistical Ellipsoidal Confidence Model) Calculator computes Ore body geometry confidence volume in m^3 using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Chi-squared confidence scaling factor = 2.706
- Semi-major axis variance (geometric) = 10000
- Semi-minor axis variance (geometric) = 900
- Semi-intermediate axis variance (geometric) = 4000
Expected Result:
- Ore body geometry confidence volume = 2150639.6677795
Engineering Interpretation:
Under the given input conditions, the calculated result is: Ore body geometry confidence volume = 2150639.6677795 m^3.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
ore body geometry confidence volume = (4.0/3.0) * 3.14159265358979 * sqrt(geometric) * sqrt(geometric) * sqrt(geometric) * chi-squared confidence scaling factorFormula family: formula_geology_ore_body_geometry_confidence_volume_estimator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| semi_major_axis_variance | Semi-major axis variance (geometric) | INPUT | Semi-major axis variance (geometric) |
| semi_intermediate_axis_variance | Semi-intermediate axis variance (geometric) | INPUT | Semi-intermediate axis variance (geometric) |
| semi_minor_axis_variance | Semi-minor axis variance (geometric) | INPUT | Semi-minor axis variance (geometric) |
| confidence_factor | Chi-squared confidence scaling factor | INPUT | Chi-squared confidence scaling factor |
| ore_body_geometry_confidence_volume | Ore body geometry confidence volume | OUTPUT | Ore body geometry confidence volume |
Calculation Steps
- Enter the semi-major axis variance (geometric) in m^2.
- Enter the semi-intermediate axis variance (geometric) in m^2.
- Enter the semi-minor axis variance (geometric) in m^2.
- Enter the chi-squared confidence scaling factor in dimensionless.
- Step 1: Compute ore body geometry confidence volume.
- Read the ore body geometry confidence volume (m^3) from the results.
Engineering Summary
Calculate Ore Body Geometry Confidence Volume Estimator (Geostatistical Ellipsoidal Confidence Model)
Frequently Asked Questions
What does this calculator calculate?
The Ore Body Geometry Confidence Volume Estimator (Geostatistical Ellipsoidal Confidence Model) Calculator estimates Ore body geometry confidence volume based on the input parameters you provide
Why is semi-major axis variance (geometric) important in this calculation?
semi-major axis variance (geometric) is directly proportional to ore body geometry confidence volume. When you enter semi-major axis variance (geometric) in m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result ore body geometry confidence volume?
The calculator outputs ore body geometry confidence volume in m^3. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Semi-major axis variance (geometric) (m^2), Semi-intermediate axis variance (geometric) (m^2), Semi-minor axis variance (geometric) (m^2), Chi-squared confidence scaling factor (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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