Significance of a water bearing fracture for an underground thermal energy storage. a model of midscale laboratory experiment

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1 Significance of a water bearing fracture for an underground thermal energy storage a model of midscale laboratory experiment Petr Novák 1, Milan Hokr 2, Vladimír Lachman 1, Jaroslav Štrunc 3, Radim Hladký 4 1 ISATech, Ltd. 2 Technical University in Liberec 3 Institute of Rock Mechanics and Structure, Czech Academy of Sciences 4 Arcadis Geotechnika, Co. Podklad č ISATech s.r.o.

2 Content Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

3 Introduction Project Research on a thermally loaded rock perspectives of underground thermal energy storage was set up to point out THMC coupling in the storage. Currently, a long term in-situ experiment is in progress to evaluate the effect of repeated thermal loading on a rock massif (URL Josef). Prior to the in-situ experiment, a midscale laboratory experiment was designed to describe the influence of waterbearing fracture over an underground thermal energy storage. Podklad č ISATech s.r.o.

4 Aim of the experiment Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

5 Aim of the experiment to describe an influence of water-bearing fracture on the temperature of a rock massif to evaluate the influence in controled laboratory conditions to detail the in-situ experiment methodology to test the modelling approach Podklad č ISATech s.r.o.

6 Design of the experiment Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

7 Design of the experiment a block of granite with an artificial fracture 15 micro boreholes Podklad č ISATech s.r.o.

8 Design of the experiment Podklad č ISATech s.r.o.

9 Design of the experiment Podklad č ISATech s.r.o.

10 Design of the experiment sides of the block were thermally insulated contact thermometers instaled in the block surface monitored using infracamera and contact thermometr Podklad č ISATech s.r.o.

11 Results Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

12 Results l 2.88 d [W/m.K] 0.06 s 0.29 D 0.09 cr 2.14 d [MJ/m 3.K] 0.05 s 0.32 D 0.07 Podklad č ISATech s.r.o.

13 Results start of the experiment end of water flow waterflow temperature of the input water Podklad č ISATech s.r.o.

14 Results start of the experiment end of water flow temperatures in the block 1 cm above the fracture Podklad č ISATech s.r.o.

15 Results start of the experiment end of water flow temperatures in the block 9 cm above the fracture Podklad č ISATech s.r.o.

16 Results hours surface temperature [ C] Podklad č ISATech s.r.o.

17 Results hours surface temperature [ C] Podklad č ISATech s.r.o.

18 Mathematical model Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

19 Mathematical model Used for both dimensioning and evaluation of the experiment Simplified Steady state analytical Hybrid distributed/lumped parameter Uniform flow (1D) Evaluated Colder water outflow Decrease of water temperature inflow/outflow Transversal conduction / surface exchange Full 3D numerical in progress Analogy with other rock/water thermal interaction study T wa ter out mixture Talk Hokr et al. 10:30 T roc k stable T wa ter chang ing T wa ter out mixture T rock changing Heat loss to surrounding T wa ter stable Warm water inflow Podklad č ISATech s.r.o.

20 Two variants - analytical solution Conduction in fracture enhanced by water Prescribed T1 and T2 Conductivity water + rock Advection in fracture Prescribed T1 Conductivity rock, capacity water, velocity / flow rate Transversal heat exchange Conduction + surface 2 T dλ 2 x = 2k( T T ext α x α x T ( x) = Ae + Be + T ext T 2 T srf T frac ) T ext T dvcρ = 2k( T Text ) x 2k T ( x) = Text + ( T Text )exp( x) dvcρ T 1 Podklad č ISATech s.r.o.

21 Transversal heat loss Conduction in rock layer Thickness h, conductivity λ Surface exchange (air convection) Coefficient σ Aggregate coef for Q=k*(T_ext T_frac) Possible estimate of σ from three measured temperatures T Q pov T 2 T srf T frac T ext λ = ( T Tpov ) = σ ( Tpov Text ) h = T λ + Textσ h λ + σ h λ σ h = λ + σ h T 1 k Podklad č ISATech s.r.o.

22 Model evaluation 60 Water outflow in the middle of the range inflow outer temp 50 Surface temp in the middle of the 40 range fracture outer temp 30 Fitted both outflow temp and 20 surface temp with same parameters 10 Coarse prediction of the transient 0 effect Amount of heat for reaching the steady temp Longitudinal distribution not analysed (differs in non-uniform flow) h [m] temperature [degc] advection conduction advection w larger exchange distance [m] input lambda sigma W/m/K W/m2/K T_frac T_ext T_surf results transfer k W/m2/K Q [W] obe plochy 2* Podklad č ISATech s.r.o.

23 Conclusions Introduction Aim of the experiment Design of the experiment Results Mathematical model Conclusions Podklad č ISATech s.r.o.

24 Conclusions Fracture water, when free to move, might influence the temperature of a surrounding rock significantly. Water could be used to transfer heat both into and out of the rock effectively. Water however also can transport heat away from an underground thermal energy storage and spoil the storing process. Current modelling approach successful for coarse fitting of heat balance (longitudinal transport / transversal loss), 3D numerical in progress for detailed evaluation Podklad č ISATech s.r.o.

25 Acknowlegdement This work was supported by the Ministry of Industry and Trade of the Czech Republic during the project "Research on a thermally loaded rock perspectives of underground thermal energy storage" (Grant Number: FR- TI3/325). We are grateful to our colleagues from the Czech Geological Survey for their leadership of the project. We thank the Centre of Experimental Geotechnics, Czech Technical University for hosting the project in the URC Josef Facility. Podklad č ISATech s.r.o.

26 Thank you for your attention Milan Hokr speaker Petr Novak main author Podklad č ISATech s.r.o.

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