Geothermal Engineering

Ground-Source Heat Pump Loop Annual Ground Temperature Recovery Ratio Calculator

quantify annual thermal recovery ratio of the ground after heat extraction to assess long-term sustainability of borefield operation.

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

Quick Answer

Calculate Ground-Source Heat Pump Loop Annual Ground Temperature Recovery Ratio

Calculator

Annual Ground Temperature Recovery Ratio
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Result Interpretation

Ground-Source Heat Pump Loop Annual Ground Temperature Recovery Ratio Calculator computes Annual Ground Temperature Recovery Ratio in 1 using the defined engineering formula and the input values provided. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Time = 31536000
  • Borehole Radius = 0.05
  • Soil Density = 1800
  • Soil Specific Heat Capacity = 800
  • Soil Thermal Conductivity = 2

Expected Result:

  • Annual Ground Temperature Recovery Ratio = 1

Engineering Interpretation:

Under the given input conditions, the calculated result is: Annual Ground Temperature Recovery Ratio = 1.

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 ground temperature recovery ratio = 1.0 - exp(-time * soil thermal conductivity / (soil density * soil specific heat capacity * pow(borehole radius, 2)))

Formula family: formula_geothermal_ground_source_heat_pump_loop_annual_ground_temperature_recovery_ratio_calculator

Variables

SymbolLabelRoleDescription
t Time INPUT Time
r_bore Borehole Radius INPUT Borehole Radius
rho_soil Soil Density INPUT Soil Density
Cp_soil Soil Specific Heat Capacity INPUT Soil Specific Heat Capacity
k_soil Soil Thermal Conductivity INPUT Soil Thermal Conductivity
result Annual Ground Temperature Recovery Ratio OUTPUT Annual Ground Temperature Recovery Ratio

Calculation Steps

  1. Enter the time in s.
  2. Enter the borehole radius in m.
  3. Enter the soil density in kg/m^3.
  4. Enter the soil specific heat capacity in J/(kg·K).
  5. Enter the soil thermal conductivity in W/(m·K).
  6. Step 1: Compute annual ground temperature recovery ratio.
  7. Read the annual ground temperature recovery ratio (1) from the results.

Engineering Summary

Calculate Ground-Source Heat Pump Loop Annual Ground Temperature Recovery Ratio

Frequently Asked Questions

What does this calculator calculate?

The Ground-Source Heat Pump Loop Annual Ground Temperature Recovery Ratio Calculator estimates Annual Ground Temperature Recovery Ratio based on the input parameters you provide

Why is time important in this calculation?

time is used directly in the calculation of annual ground temperature recovery ratio. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter time in s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result annual ground temperature recovery ratio?

The calculator outputs annual ground temperature recovery ratio. 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: Time (s), Borehole Radius (m), Soil Density (kg/m^3), Soil Specific Heat Capacity (J/(kg·K)), Soil Thermal Conductivity (W/(m·K)). 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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