when does a fracture matter for a borehole heat exchanger€¦ · the university of southampton...
TRANSCRIPT
![Page 1: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/1.jpg)
Engineering and the Environment
The University of Southampton
GSHPA technical seminar
Leeds, 24 May 2018
When does
a fracture matter
for a borehole
heat exchanger ?
Sasha PedchenkoFleur LoveridgeNick WoodmanWilliam Powrie
![Page 2: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/2.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
460 research papers
![Page 3: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/3.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Apparent
thermal
conductivity
dispersivity tensor
heat capacity of fluid
Darcy velocity
(Sauty et al., 1982)
= +Effective
thermal
conductivity ∗∗
![Page 4: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/4.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Fracture distance
Fracture aperture
Dehkordi et al., 2015
![Page 5: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/5.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Fracture distance
Fracture aperture
Dehkordi et al., 2015
Fracture in impermeablematrix
apparent thermal conductivity
![Page 6: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/6.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
fracture influence
groundwater & uncertainty
effective parameters
![Page 7: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/7.jpg)
Concept
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
![Page 8: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/8.jpg)
Workflow
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Numerical model
2D
Validation
MILS
One-factor-at-a-time
sensitivity analysis
Uncertainty analysis
30 000 runs
![Page 9: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/9.jpg)
Example
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Distance 0.5 m
after 30 years
2K
![Page 10: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/10.jpg)
Example
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Distance 0.5 m
Distance 10 m
after 30 years
2K
2K
![Page 11: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/11.jpg)
Effects
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
distance 10 m
0.05 m/day in matrix
![Page 12: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/12.jpg)
Effects
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
0.05 m/day in matrix0.005 m/day in matrix
distance 10 m
![Page 13: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/13.jpg)
Groundwater
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
~7 K
![Page 14: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/14.jpg)
Groundwater
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
~100m
![Page 15: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/15.jpg)
Uncertainty
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
![Page 16: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/16.jpg)
Uncertainty
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
☺
![Page 17: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/17.jpg)
Uncertainty
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
☺
![Page 18: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/18.jpg)
Sensitivity
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
0.05 m/day in matrix
0.005 m/day in matrix
☺
![Page 19: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/19.jpg)
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Apparent thermal conductivity
Slow local groundwater flow
![Page 20: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/20.jpg)
Slow local groundwater flow
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Apparent thermal conductivity Fast local
groundwater flow
![Page 21: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/21.jpg)
Oleksandra PedchenkoEngineering and the EnvironmentUniversity of Southampton
Thank youQuestions & advice welcome
![Page 22: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/22.jpg)
Q&A supplements
![Page 23: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/23.jpg)
Sensitivity
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
0.05 m/day
0.005 m/day
![Page 24: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/24.jpg)
Uncertainty
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
0.05 m/day in matrix
0.005 m/day in matrix
![Page 25: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/25.jpg)
![Page 26: When does a fracture matter for a borehole heat exchanger€¦ · The University of Southampton GSHPA technical seminar Leeds, 24 May 2018 When does a fracture matter for a borehole](https://reader033.vdocuments.us/reader033/viewer/2022052023/6038f4fd038dc43b9b3c29f1/html5/thumbnails/26.jpg)
Intro
Intro Methods Fracture Groundwater Uncertainty Sensitivity Conclusion
Apparent thermal conductivity
𝜆𝑎 = 𝜆𝐴 + 𝛼 𝛾𝐹 𝑣
effectivethermal conductivity of porous medium
dispersivitytensor
heat capacity of fluid
Darcy velocity
(Sauty et al 1982)