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Table 4 Uncertainty ranges and reference values for uncertainty quantification

From: Global sensitivity analysis and uncertainty quantification for design parameters of shallow geothermal systems

Parameter

Unit

Uncertainty range

Min

Reference

Max

\(L_{BHE}\)

m

 

99

100

101

\(\lambda _{gr}\)

\({{\textrm{W}}\,{\textrm{m}}^{-1}\,{\textrm{K}}^{-1}}\)

 

1.76

2

2.2

\(\mu _{rf}\)

\({{\textrm{kg}}\,{\textrm{m}}^{-1}\,{\textrm{s}}^{-1}}\)

 

0.00293

0.00514

0.00884

\({\dot{V}}_{rf}\)

\({{\textrm{m}}^3 \,{\textrm{s}}^{-1}}\)

 

\(7.03 \cdot 10^{-4}\)

\(7.4 \cdot 10^{-4}\)

\(7.77 \cdot 10^{-4}\)

Q

kWh

Scen. 1:

9669

11000

11682

Scen. 2:

7333

11000

14667

\(\lambda _{s}\)

\({{\textrm{W}}\, {\textrm{m}}^{-1}\,{\textrm{K}}^{-1}}\)

 

1.9

2.5

4.6

\(c_{vs}\)

\({{\textrm{J}}\ {\textrm{m}}^{-3}\, {\textrm{K}}^{-1}}\)

 

\(1.8 \cdot 10^{6}\)

\(2 \cdot 10^{6}\)

\(2.6 \cdot 10^{6}\)

\(t_{aqf}\)

–*

 

0.2

0.25

0.3

\(z_{aqf}\)

–*

 

0.025

0.05

0.06

\(v_f\)

\({{\mathrm{m \, s}}^{-1}}\)

 

\(1.7 \cdot 10^{-11}\)

\(8.5 \cdot 10^{-8}\)

\(1.7 \cdot 10^{-7}\)

\(\Delta T_{geo}\)

\({{\mathrm{K \, m}}^{-1}}\)

 

0.019

0.024

0.029

\(T_{geo}\)

K**

 

− 0.5

0

0.5

  1. *Relative value related to the length of the BHE reduced by 15 m \({L_{BHE}}^*\)
  2. **Parameter refers to the change of the curve shown in Fig. 17 as well as the temperature profile of the initial condition for subsurface temperature