Quick Answer
The geothermal injection well darcy-permeability injection rate calculator computes volumetric injection rate from the input values you provide.
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Find Engineering Solutions →Result Interpretation
Geothermal Injection Well Darcy-Permeability Injection Rate calculator computes Volumetric Injection Rate in m^3/s using the defined engineering formula and the input values provided. Volumetric Injection Rate is expressed in m^3/s. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Reservoir Permeability = 2.0E-13
- Aquifer Thickness = 80
- Injection Pressure = 7500000
- Reservoir Pressure = 4200000
- Water Dynamic Viscosity = 0.00032
- Effective Drainage Radius = 120
- Wellbore Radius = 0.12
Expected Result:
- Volumetric Injection Rate = 0.1500813989226
Engineering Interpretation:
Under the given input conditions, the calculated result is: Volumetric Injection Rate = 0.1500813989226 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 injection rate = (2 * 3.14159265358979 * reservoir permeability * aquifer thickness * (injection pressure - reservoir pressure)) / (water dynamic viscosity * log(effective drainage radius / wellbore radius))Volumetric Injection Rate.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| permeability | Reservoir Permeability | INPUT | Reservoir Permeability |
| thickness | Aquifer Thickness | INPUT | Aquifer Thickness |
| pressure_injection | Injection Pressure | INPUT | Injection Pressure |
| pressure_reservoir | Reservoir Pressure | INPUT | Reservoir Pressure |
| viscosity | Water Dynamic Viscosity | INPUT | Water Dynamic Viscosity |
| radius_outer | Effective Drainage Radius | INPUT | Effective Drainage Radius |
| radius_well | Wellbore Radius | INPUT | Wellbore Radius |
| injection_rate | Volumetric Injection Rate | OUTPUT | Volumetric Injection Rate |
Calculation Steps
- Enter the reservoir permeability in m^2.
- Enter the aquifer thickness in m.
- Enter the injection pressure in Pa.
- Enter the reservoir pressure in Pa.
- Enter the water dynamic viscosity in Pa*s.
- Enter the effective drainage radius in m.
- Enter the wellbore radius in m.
- Step 1: Compute volumetric injection rate.
- Read the volumetric injection rate (m^3/s) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Geothermal Injection Well Darcy-Permeability Injection Rate calculator estimates Volumetric Injection Rate based on the input parameters you provide
Why is reservoir permeability important in this calculation?
reservoir permeability is directly proportional to volumetric injection rate. When you enter reservoir permeability in m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result volumetric injection rate?
The calculator outputs volumetric injection 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: Reservoir Permeability (m^2), Aquifer Thickness (m), Injection Pressure (Pa), Reservoir Pressure (Pa), Water Dynamic Viscosity (Pa*s), Effective Drainage Radius (m), Wellbore Radius (m). 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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