Simulating the effect of groundwater flow and heterogeneity on Borehole Thermal Energy Storage (BTES)

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Simulating the effect of groundwater flow and heterogeneity on Borehole Thermal Energy Storage (BTES) Mathias POSSEMIERS, Lotte DE HENAU & Jos VAN STEENWINKEL AGT Advanced Groundwater Techniques www.agt.be

BTES, closed loop ground source heat pumps (GSHP) or closed systems Thermal energy is stored and recovered with a closed hydraulic circuit consisting of one or more boreholes with vertical heat exchangers. Heat exchangers consist of plastic tubes wherein a fluid (commonly a water-glycol mixture) is circulated and absorbs the thermal energy from the ground. 2 (SmartGeotherm, 2015)

Problem Commonly, the number of heat exchangers is calculated using average values for the thermal properties of the subsurface Groundwater flow is generally not considered Subsurface heterogeneity and groundwater flow, however, can have an important impact on the number of required heat exchangers and the associated cost of a BTES system In this project the effect of both groundwater flow and heterogeneity on BTES systems is evaluated. 3

Case Antwerp (Belgium) Hospital and public housing project 4

Site Groundwater flow WNW 1.5 5

Site Geology Sand Clay BTES depth criterion = 150 m 6

Energy Demand Scenario 1 Heating demand (MWh/year) Buildings 362 55 Subsurface (COP HP 4.5) 282 43 Peak load (kw) Scenario 2 Heating demand (MWh/year) Buildings 3372 483 Subsurface (COP HP 4.5) 2623 376 Peak load (kw) Load duration curves not available 7

Model Setup COMSOL Multiphysics Groundwater flow (Subsurface Flow Module) Heat transport in the subsurface (Heat Transfer Module) The subsurface was divided into different geological layers (aquifers and aquitards), each with different hydrogeological and thermal parameters. To simulate the effect of groundwater flow, a groundwater gradient was imposed. 8

Model Setup Horizontal extensions Scenario 1: 100 x 100 m Scenario 2: 110 x 120 m Vertical extensions Modellaag Top (mtaw) Basis (mtaw) Top (m-mv) Basis (m-mv) Dikte (m) 1 7.9-30.8 0 38.7 38.7 Hydrogeologie Zandige deklagen (HCOV 0151) Pleistoceen en Plioceen Aquifer (HCOV 0230) Zand van Diest (HCOV 0252) Zand van Berchem (HCOV 0254) K h (m/dag) K v (m/dag) 10 3.33 2-30.8-92.2 38.7 100.1 61.4 Boom Aquitard (HCOV 0300) 0.001 0.0003 4-92.2-117.4 100.1 125.3 25.2 Ruisbroek-Berg Aquifer (HCOV0430) Tongeren Aquitard (HCOV 0440) Onder-Oligoceen Aquifersysteem (HCOV 0450) 1 0.33 9 7-117.4-157.3 125.3 165.2 39.9 Bartoon Aquitardsysteem (HCOV 0500) 0.010 0.0033

Model Setup Geometry 10

Model Setup Materials Material Thermal conductivity (W/mK) Heat capacity (J/kgK) Density (kg/m³) Sand 2.90 920 2650 Clay 2.00 1090 2650 Water 0.58 4186 1000 11

Model Setup Darcy s Law Effective porosity Sand: 0.15 Clay: 0.01 Hydraulic conductivity (K h, K v ) Hydraulic head > Groundwater gradient Up- and downstream end 12

Model Setup Heat Transfer in Porous Media Initial temperature: 12 C Inflow Outflow Effective porosity: 0.35 Convective Heat Flux Heat transfer coefficient: 1/R b R b : Borehole resistance = 0.1 mk/w x borehole radius (65 mm) External temperature: Piecewise function Heating (6 months): 0 C Cooling (6 months): 15 C 13

Model Setup Mesh Boundary layers Free triangular + swept Free tetrahedral 14

Model Setup Study Study 1: Stationary > Darcy s Law Study 2: Time Dependent > Heat Transfer in Porous Media 15

Results Scenario 1 55 kw 362 MWh 15 vertical heat exchangers U-shaped configuration Temperature distribution ( C) at the end of the heating cycle after 20 years Influence of groundwater flow >> in aquifers than aquitards 16 Temperature distribution ( C) at the end of the cooling cycle after 20 years

Temperatuur ( C) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 1 16 Minimum temperatuur ( C) Gemiddelde temperatuur ( C) Maximum temperatuur ( C) 14 12 10 8 6 4 2 0 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the average, minimum and maximum temperature on the borehole wall 17

Beschikbaar vermogen (kw) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 1 200 Verwarmingsvermogen (COP 4,5) Koelvermogen (Passief) Gewenst piekvermogen verwarmen 150 100 50 0 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the available power 18

Maximale energieproductie (MWh) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 1 600 Warmteproductie Warmtevraag Koudeproductie 500 400 300 200 100 0 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the maximal energy production 19

Results Scenario 2 483 kw 3372 MWh 143 vertical heat exchangers Rectangle 11 x 13 Temperature distribution ( C) at the end of the heating cycle after 20 years Influence of groundwater flow >> in aquifers than aquitards 20 Temperature distribution ( C) at the end of the cooling cycle after 20 years

Temperatuur ( C) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 2 16 Minimum temperatuur ( C) Gemiddelde temperatuur ( C) Maximum temperatuur ( C) 14 12 10 8 6 4 2 0 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the average, minimum and maximum temperature on the borehole wall 21

Beschikbaar vermogen (kw) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 2 2 000 1 800 1 600 1 400 1 200 1 000 800 600 400 200 Verwarmingsvermogen (COP 4,5) Koelvermogen (Passief) Gewenst piekvermogen verwarmen 0 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the available power 22

Maximale energieproductie (MWh) Simulating the effect of groundwater flow and heterogeneity on Results Scenario 2 5 000 Warmteproductie Warmtevraag Koudeproductie 4 500 4 000 3 500 3 000 2 500 2 000 1 500 1 000 0 2 4 6 8 10 12 14 16 18 20 Tijd (jaar) Evolution of the maximal energy production 23

Conclusion Clear effect of both heterogeneity and groundwater flow on the temperature distribution around the borehole heat exchangers In the aquifers, the effect of the groundwater flow is much larger than in the aquitards. Particularly in the case of the presence of aquifers, it is important to consider groundwater flow and subsurface heterogeneity for dimensioning a BTES system. 24

Future Modeling interaction between BTES and ATES ATES concept (Possemiers et al., 2014) 25

Simulating the effect of groundwater flow and heterogeneity on Borehole Thermal Energy Storage (BTES) Mathias POSSEMIERS, Lotte DE HENAU & Jos VAN STEENWINKEL AGT Advanced Groundwater Techniques www.agt.be