| bn | Ratio of volumetric heat capacity of the cable with volumetric heat capacity of the soil (–) |
| c | Specific heat capacity of the soil (J kg−1 K−1) |
| cs | Soil solid specific heat capacity (J kg−1 K−1) |
| cw | Specific heat capacity of water (J kg−1 K−1) |
| Cs | Volumetric heat capacity of the soil (J m−3 K−1) |
| C 1 | Heat capacity of the heating cable (J m−3 K−1) |
| C 2 | Heat capacity of the sensing cable (J m−3 K−1) |
| p | Transform variable of the Laplace transform |
| vf | Transfer function |
| K 0 | Modified Bessel function of the second kind of order 0 |
| K 1 | Modified Bessel function of the second kind of order 1 |
| L | Distance between the two centers of the cables (m) |
| Lapp | Apparent spacing between the two centers of the cables (m) |
| q | Power released per unit length cable (W m−1) |
| r 1 | Cable radius of the heating cable (m) |
| r 2 | Cable radius of the sensing cable (m) |
| t 0 | Heating time (s) |
| teval | Evaluation time for regression approach (s) |
| Tmax | Temperature amplitude at the sensor cable (K) |
| tmax | Time of tmax after heating has started (s) |
| Γ1(t) | Heating function at the heater cable |
| Γ2(t) | Heating function at the sensor cable |
| ϴ | Volumetric water content (m3 m−3) |
| κ | Thermal diffusivity (m2 s−1) |
| λs | Thermal conductivity of the soil (W m−1 K−1) |
| ρd | Soil bulk density (kg m−3) |