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Default Material Values KOPI

Below are values obtained from CIGRE, Sintef and NMBU, which should be viewed as a guide only. We always recommend that a measure thermal resistivity on the masses as local conditions affect the value.

Mass Wet [mK/W] Dry [mK/W] Source
Gravel (coarse-fine) 0.5 2.5 Cigre TB 714 (2017)12
Sand (coarse-fine) 0.5 2.0 Cigre TB 714 (2017)12
Sand (sorted) 0.6 3.5 Cigre TB 714 (2017)12
Silt 0.7 2.5 Cigre TB 714 (2017)12
Topsoil 0.7 2.0 NMBU measurement10
Turf 2 17 SINTEF measurement10
Clay 0.25 17 SINTEF measurement10
Mass Thermal Resistivity [mK/W] Source
Bentonite 0.4- 0.6 SINTEF measurement10
Tarmac 0.5-1.0 SINTEF measurement10
Concrete for duct banks 1.0 IEC 60287-2-1:20239
Concrete for duct banks 0.613 SINTEF measurement13

IEC 60287 has a more general approach to masses based on moisture content presented in the table below:

Thermal resistivity [mK/W] Mass description Weather conditions
0.7 Very moist Persistently moist
1.0 Moist Regular rain
2.0 Dry Rare rain
3.0 Very dry Little to zero rain
Thermal resistivity [mK/W] Electrical resistivity at 20°C [μΩ*m] Temperature coefficient [1/K] Relative permability
Steel 0.019 1 4 0.138 2 3 1 4 9 0.0040 3 9 250 ≈ 215.67-126.43j 2 5 9
Stainless steel 0.69 8 0.7 6 7 8 0.00094 1 6 7 8
Magnetic stainless steel 0.69 8 0.7 6 7 8 0.00094 1000 ≈ 862.7-505.72j 6 7 8

ρ = (2 * π * U)/(1+ 0.1 * De * ((V+(Y * θ) * ln(Dd/De))))

ρ = thermal resistivity applied to the pipe filling.
θ = the average temperature of water.
Dd = inner diameter of the pipe De = diameter of the cable or an equivalent diameter of the group of the group of cable calculated according to IEC. U = 0.1 (for water)
V = 0.03 (for water)
Y = 0.001 (for water)

Source
U = 0.1 (for water) IEC 60287-2-1
V = 0.03 (for water) IEC 60287-2-1
Y = 0.001 (for water) IEC 60287-2-1

For empty water filled pipes and water filled pipes without a heat source, a fixed thermal resistivity of 1.6 mK/W is applied.

“The Engineering Handbook” and “The Engineering ToolBox” sets the thermal conductivity for water at 0.609 W/mK, at 26.8°C. This is recalculated to approximately 1.6 mK/W for the temperature expectet to occur in a trench.

  1. American Society for Metals, Metals Handbook, Ninth Edition, Volume 1, Properties and Selection: Iron and Steels, Beijing, China: China Machine Press, 1988. ↩ ↩2

  2. L. Meyerhoff, “A-C Resistance of Pipe-Cable Systems with Segmental Conductors,” AIEE. Trans., vol. 71, no. III, pp. 393-414, 1952 ↩ ↩2

  3. Y. Sun, D. Niu and J. Sun, “Temperature and carbon content dependence of electrical resistivity of carbon steel,” in 2009 4th IEEE Conference on Industrial Electronics and Applications, Xi’an, China, 25-27 May 2009. ↩ ↩2