Geothermal Engineering

Geothermal Borefield Annual Heat Extraction Limit (Cylindrical Conduction Model) calculator

Geothermal Borefield Annual Heat Extraction Limit (Cylindrical Conduction Model) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

The geothermal borefield annual heat extraction limit (cylindrical conduction model) calculator computes annual heat extraction rate per meter of borehole from the input values you provide.

Calculator

Annual Heat Extraction Rate per Meter of Borehole (W⁄m)
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Result Interpretation

Geothermal Borefield Annual Heat Extraction Limit (Cylindrical Conduction Model) calculator computes Annual Heat Extraction Rate per Meter of Borehole in W/m using the defined engineering formula and the input values provided. Annual Heat Extraction Rate per Meter of Borehole is expressed in W/m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Ground Thermal Conductivity = 1.8
  • Undisturbed Ground Temperature = 283.15
  • Minimum Allowable Borehole Wall Temperature = 278.15
  • Borehole Radius = 0.075
  • U-tube Pipe Outer Radius = 0.016

Expected Result:

  • Annual Heat Extraction Rate per Meter of Borehole = 36.603463036618

Engineering Interpretation:

Under the given input conditions, the calculated result is: Annual Heat Extraction Rate per Meter of Borehole = 36.603463036618 W/m.

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

annual heat extraction rate per meter of borehole = (2 * 3.14159265358979 * ground thermal conductivity * (undisturbed ground temperature - minimum allowable borehole wall temperature)) / log(borehole radius / u-tube pipe outer radius)

Annual Heat Extraction Rate per Meter of Borehole.

Variables

SymbolLabelRoleDescription
k_soil Ground Thermal Conductivity INPUT Ground Thermal Conductivity
T_undisturbed Undisturbed Ground Temperature INPUT Undisturbed Ground Temperature
T_min_operational Minimum Allowable Borehole Wall Temperature INPUT Minimum Allowable Borehole Wall Temperature
r_borehole Borehole Radius INPUT Borehole Radius
r_pipe U-tube Pipe Outer Radius INPUT U-tube Pipe Outer Radius
heat_extraction_rate Annual Heat Extraction Rate per Meter of Borehole OUTPUT Annual Heat Extraction Rate per Meter of Borehole

Calculation Steps

  1. Enter the ground thermal conductivity in W/(m*K).
  2. Enter the undisturbed ground temperature in K.
  3. Enter the minimum allowable borehole wall temperature in K.
  4. Enter the borehole radius in m.
  5. Enter the u-tube pipe outer radius in m.
  6. Step 1: Compute annual heat extraction rate per meter of borehole.
  7. Read the annual heat extraction rate per meter of borehole (W/m) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Geothermal Borefield Annual Heat Extraction Limit (Cylindrical Conduction Model) calculator estimates Annual Heat Extraction Rate per Meter of Borehole based on the input parameters you provide

Why is ground thermal conductivity important in this calculation?

ground thermal conductivity is directly proportional to annual heat extraction rate per meter of borehole. When you enter ground thermal conductivity in W/(m*K), the calculator uses it in the engineering formula to compute the output

How should I interpret the result annual heat extraction rate per meter of borehole?

The calculator outputs annual heat extraction rate per meter of borehole in W/m. 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: Ground Thermal Conductivity (W/(m*K)), Undisturbed Ground Temperature (K), Minimum Allowable Borehole Wall Temperature (K), Borehole Radius (m), U-tube Pipe Outer 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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