Quick Answer
Calculate Geophysical Survey Line Spacing–Optimized Anomaly Detection Probability Calculator
Calculator
Result Interpretation
Geophysical Survey Line Spacing–Optimized Anomaly Detection Probability Calculator computes Anomaly Detection Probability in dimensionless using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Survey Line Spacing = 40
- Depth to Anomaly Centroid = 25
- Geological Background Noise Factor = 1.15
- Instrument Noise Suppression Factor = 0.82
- Minimum Detectable Anomaly Lateral Dimension = 12
Expected Result:
- Anomaly Detection Probability = 0.57254005386901
Engineering Interpretation:
Under the given input conditions, the calculated result is: Anomaly Detection Probability = 0.57254005386901 dimensionless.
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
anomaly detection probability = 1 - exp(-pow(2.0 * minimum detectable anomaly lateral dimension / survey line spacing, 2.0) * (1.0 + sqrt(1.0 + pow(depth to anomaly centroid / minimum detectable anomaly lateral dimension, 2.0))) * instrument noise suppression factor / geological background noise factor)Formula family: formula_geology_geophysical_survey_line_spacing_optimized_anomaly_detection_probability_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| line_spacing | Survey Line Spacing | INPUT | Survey Line Spacing |
| anomaly_lateral_dimension | Minimum Detectable Anomaly Lateral Dimension | INPUT | Minimum Detectable Anomaly Lateral Dimension |
| depth_to_anomaly | Depth to Anomaly Centroid | INPUT | Depth to Anomaly Centroid |
| noise_suppression_factor | Instrument Noise Suppression Factor | INPUT | Instrument Noise Suppression Factor |
| geologic_noise_factor | Geological Background Noise Factor | INPUT | Geological Background Noise Factor |
| anomaly_detection_probability | Anomaly Detection Probability | OUTPUT | Anomaly Detection Probability |
| e | e | CONSTANT | e = 2.718281828459 dimensionless |
Calculation Steps
- Enter the survey line spacing in m.
- Enter the minimum detectable anomaly lateral dimension in m.
- Enter the depth to anomaly centroid in m.
- Enter the instrument noise suppression factor in dimensionless.
- Enter the geological background noise factor in dimensionless.
- Step 1: Compute anomaly detection probability.
- Read the anomaly detection probability (dimensionless) from the results.
Engineering Summary
Calculate Geophysical Survey Line Spacing–Optimized Anomaly Detection Probability Calculator
Frequently Asked Questions
What does this calculator calculate?
The Geophysical Survey Line Spacing–Optimized Anomaly Detection Probability Calculator estimates Anomaly Detection Probability based on the input parameters you provide
What physical constants are used in this calculation?
This calculation uses the elementary charge (e = 2.718281828459 dimensionless). This is a fundamental physical constant that ensures the formula produces results in consistent engineering units
Why is survey line spacing important in this calculation?
survey line spacing is directly proportional to anomaly detection probability. When you enter survey line spacing in m, the calculator uses it in the engineering formula to compute the output
How should I interpret the result anomaly detection probability?
The calculator outputs anomaly detection probability in dimensionless. 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: Survey Line Spacing (m), Minimum Detectable Anomaly Lateral Dimension (m), Depth to Anomaly Centroid (m), Instrument Noise Suppression Factor (dimensionless), Geological Background Noise 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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