Geothermal Engineering

Cylindrical Conduction Grout Thermal Resistance for Single U-Tube Borehole calculator

Cylindrical Conduction Grout Thermal Resistance for Single U-Tube Borehole engineering calculator.

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

Quick Answer

The cylindrical conduction grout thermal resistance for single u-tube borehole calculator computes borehole thermal resistance from the input values you provide.

Calculator

Borehole thermal resistance (m·K⁄W)
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Result Interpretation

Cylindrical Conduction Grout Thermal Resistance for Single U-Tube Borehole calculator computes Borehole thermal resistance in m*K/W using the defined engineering formula and the input values provided. Borehole thermal resistance is expressed in m*K/W. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Borehole depth = 100
  • Borehole diameter = 0.15
  • Grout thermal conductivity = 1.2
  • Pipe thermal resistance per unit length (both legs) = 0.05

Expected Result:

  • Borehole thermal resistance = 1.0712560185542

Engineering Interpretation:

Under the given input conditions, the calculated result is: Borehole thermal resistance = 1.0712560185542 m*K/W.

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

borehole thermal resistance = (log(4 * borehole depth / borehole diameter) / (2 * 3.14159265358979 * grout thermal conductivity)) + (both legs / 2)

Borehole thermal resistance.

Variables

SymbolLabelRoleDescription
H Borehole depth INPUT Borehole depth
D_b Borehole diameter INPUT Borehole diameter
k_grout Grout thermal conductivity INPUT Grout thermal conductivity
R_p Pipe thermal resistance per unit length (both legs) INPUT Pipe thermal resistance per unit length (both legs)
result Borehole thermal resistance OUTPUT Borehole thermal resistance

Calculation Steps

  1. Enter the borehole depth in m.
  2. Enter the borehole diameter in m.
  3. Enter the grout thermal conductivity in W/(m*K).
  4. Enter the pipe thermal resistance per unit length (both legs) in m*K/W.
  5. Step 1: Compute borehole thermal resistance.
  6. Read the borehole thermal resistance (m*K/W) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Cylindrical Conduction Grout Thermal Resistance for Single U-Tube Borehole calculator estimates Borehole thermal resistance based on the input parameters you provide

Why is borehole depth important in this calculation?

borehole depth is used directly in the calculation of borehole thermal resistance. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter borehole depth in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result borehole thermal resistance?

The calculator outputs borehole thermal resistance in m*K/W. 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: Borehole depth (m), Borehole diameter (m), Grout thermal conductivity (W/(m*K)), Pipe thermal resistance per unit length (both legs) (m*K/W). 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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