Quick Answer
Calculate Soil Vapor Extraction Air Flow Rate via Radius of Influence (Radial Darcy Flow)
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Find Engineering Solutions →Result Interpretation
Soil Vapor Extraction Air Flow Rate via Radius of Influence (Radial Darcy Flow) calculator computes Volumetric air flow rate in m^3/s using the defined engineering formula and the input values provided. Volumetric air flow rate is expressed in m^3/s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Air permeability = 2.5E-11
- Pressure difference between ambient and extraction well = 450
- Radius of influence = 12
- Extraction well radius = 0.1
- Dynamic viscosity of air at site conditions = 1.81E-5
Expected Result:
- Volumetric air flow rate = 0.0097887452008998
Engineering Interpretation:
Under the given input conditions, the calculated result is: Volumetric air flow rate = 0.0097887452008998 m^3/s.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
volumetric air flow rate = 2 * 3.14159265358979 * air permeability * pressure difference between ambient and extraction well * radius of influence / (dynamic viscosity of air at site conditions * log(radius of influence / extraction well radius))Formula family: formula_environmental_soil_vapor_extraction_sve_air_flow_rate_calculator_radius_of_influence_method
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| air_permeability | Air permeability | INPUT | Air permeability |
| pressure_difference | Pressure difference between ambient and extraction well | INPUT | Pressure difference between ambient and extraction well |
| radius_of_influence | Radius of influence | INPUT | Radius of influence |
| well_radius | Extraction well radius | INPUT | Extraction well radius |
| air_viscosity | Dynamic viscosity of air at site conditions | INPUT | Dynamic viscosity of air at site conditions |
| volumetric_air_flow_rate | Volumetric air flow rate | OUTPUT | Volumetric air flow rate |
Calculation Steps
- Enter the air permeability in m^2.
- Enter the pressure difference between ambient and extraction well in Pa.
- Enter the radius of influence in m.
- Enter the extraction well radius in m.
- Enter the dynamic viscosity of air at site conditions in Pa*s.
- Step 1: Compute volumetric air flow rate.
- Read the volumetric air flow rate (m^3/s) from the results.
Engineering Summary
Calculate Soil Vapor Extraction Air Flow Rate via Radius of Influence (Radial Darcy Flow)
Frequently Asked Questions
What does this calculator calculate?
The Soil Vapor Extraction Air Flow Rate via Radius of Influence (Radial Darcy Flow) calculator estimates Volumetric air flow rate based on the input parameters you provide
Why is air permeability important in this calculation?
air permeability is directly proportional to volumetric air flow rate. When you enter air permeability in m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result volumetric air flow rate?
The calculator outputs volumetric air flow rate in m^3/s. To convert to liters per second, multiply by 1000. For liters per minute, multiply by 60000. 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: Air permeability (m^2), Pressure difference between ambient and extraction well (Pa), Radius of influence (m), Extraction well radius (m), Dynamic viscosity of air at site conditions (Pa*s). 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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