modeling borehole heat exchanger systems - …feflow.info/uploads/media/diersch.pdf · modeling...
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![Page 1: Modeling Borehole Heat Exchanger Systems - …feflow.info/uploads/media/Diersch.pdf · Modeling Borehole Heat Exchanger Systems H.-J.G. DIERSCH1), D. BAUER2), W. RÜHAAK1), W. HEIDEMANN2)](https://reader030.vdocuments.us/reader030/viewer/2022020316/5b842d297f8b9aec488bc149/html5/thumbnails/1.jpg)
2nd International FEFLOW® User Conference
Modeling Borehole Heat Exchanger
Systems H.-J.G. DIERSCH1), D. BAUER2),
W. RÜHAAK1), W. HEIDEMANN2) & P. SCHÄTZL1)
1) Groundwater Modelling Centre (GMC)
2) Institute of Thermodynamics and Thermal Engineering (ITW), University of Stuttgart
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2FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Content
1. Introduction
2. Borehole Heat Exchanger (BHE)
3. Numerical Solution
4. Analytical Solution
5. Implementation
6. Applications
7. Conclusions
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3FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Borehole Heat Exchanger
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`äçëÉÇ ÅáêÅìáí ëóëíÉãë
råÇÉêÖêçìåÇ=ÜÉ~í ëíçê~ÖÉ
![Page 4: Modeling Borehole Heat Exchanger Systems - …feflow.info/uploads/media/Diersch.pdf · Modeling Borehole Heat Exchanger Systems H.-J.G. DIERSCH1), D. BAUER2), W. RÜHAAK1), W. HEIDEMANN2)](https://reader030.vdocuments.us/reader030/viewer/2022020316/5b842d297f8b9aec488bc149/html5/thumbnails/4.jpg)
4FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Heizzentrale
Kollektoren5670 m²
Erdsonden-Wärmespeicher63360 m³
2.Ausbau1.Ausbau
Pufferspeicher 2 x 100 m³
Nahwärmenetz3 Leiter Netz- -
ca. 300 Wohneinheiten,Schule, Ladenzentrum, ...
Motivation – SuN (Crailsheim)Buffer storage
Heat station
Solar collectorsapartments,
school building, shopping center, …
Local heat network3 conductors
1st stage
2nd stage
Borehole thermal energy store: BHE array
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5FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
0
100
200
300
400
500
600
700
800
Jan Feb Mär Apr Mai Jun Jul Aug Sep Okt Nov Dez Jahr
Wär
mem
enge
[MW
h/a]
0
500
1000
1500
2000
2500
3000
3500
4000
Wär
mem
enge
[MW
h/a]
Solarenergie
zusätzliche Energie
solare Ein-strahlung (relativ)
Motivation – SeasonalHeat Storage
Solar energy
Ther
mal
pow
er
Ther
mal
pow
er
Additional energy
Solarization(relative)
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6FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
-50
0
50
100
150
200
250
1 2 3 4 5 6 7 8 9 10 11 12Monat des Jahres
Wär
mem
enge
[MW
h]
0
10
20
30
40
50
60
Tem
pera
tur [
°C]
Beladung EntladungWärmeverluste Temperatur
Crailsheim: Heat Balance of Borehole Thermal Energy Store
Ther
mal
ene
rgy
Tem
pera
ture
Month of year
Loading UnloadingThermal loss Temperature
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7FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Tief
e
ohne Grundwasser
mit Grundwasser
Tief
e
Isothermendarstellung
Isothermendarstellung
Influence of groundwater flow on borehole thermal energy store
MotivationD
epth
Dep
th
Isotherms
without groundwater
with groundwater
Isotherms
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8FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Types of BHE2U pipe
1U pipe
CXA (CXC) pipe
![Page 9: Modeling Borehole Heat Exchanger Systems - …feflow.info/uploads/media/Diersch.pdf · Modeling Borehole Heat Exchanger Systems H.-J.G. DIERSCH1), D. BAUER2), W. RÜHAAK1), W. HEIDEMANN2)](https://reader030.vdocuments.us/reader030/viewer/2022020316/5b842d297f8b9aec488bc149/html5/thumbnails/9.jpg)
9FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Modeling ApproachesFully discretized vs. 1D-line element (BHE) approaches
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√ mê~ÅíáÅ~ääó áå~ééêçéêá~íÉ Ñçê _eb=~êê~óëK
√ mçïÉêÑìä=~ééêç~ÅÜ íç=ãçÇÉä ÉñíêÉãÉ=ëäÉåÇÉêåÉëë çÑ=_eb=ëóëíÉãë
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√ bÑÑÉÅíáîÉ ëçäìíáçå ãÉíÜçÇ Ñçê ÄçíÜëáåÖäÉ _eb=~åÇ=_eb=~êê~óëK
![Page 10: Modeling Borehole Heat Exchanger Systems - …feflow.info/uploads/media/Diersch.pdf · Modeling Borehole Heat Exchanger Systems H.-J.G. DIERSCH1), D. BAUER2), W. RÜHAAK1), W. HEIDEMANN2)](https://reader030.vdocuments.us/reader030/viewer/2022020316/5b842d297f8b9aec488bc149/html5/thumbnails/10.jpg)
10FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Solution Strategies
Numerical: based on Al-Khoury et al. (2005, 2006) with significant extensions (generalized formulations for 2U, 1U, CXAand CXC type BHE, multiple grout points, improved relationships for thermal resistances, essentially non-iterative coupling method)
Analytical: based on Eskilson & Claesson (1988) with significant extensions (generalized formulations for 2U, 1U, CXAand CXC type BHE, improved relationships for thermal resistances, effective coupling to 3D FE-discretizations of porous matrices)
Restrictions: local steady-state conditions, appropriate for long-term predictions (robust and fast procedure)
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11FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Setting in FEFLOW
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12FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Output in FEFLOW(1) Vertical temperature
profiles for fluid (inlet, outlet) and grout zones
(2) History of outlet temperature
(3) BHE selector
(4) Iteration behavior and control
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13FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Array Schematization
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14FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE Model Equations
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15FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Static Condensation
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16FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Analytical Solution
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17FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
BHE vs. Fully Discretized Solutions
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18FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Benchmarking
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19FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
TRNSYS (TRaNsient SYstemsSimulation)
TRNSYS is a tool designed to simulate the transient performance of thermal energy systemsCommercially available since 1975It was initially developed by the University of WisconsinWithin a joint project between ITW University Stuttgart and DHI-WASY GmbH an IFM extension for FEFLOW is under developmentQt-based and platform-independent (Windows + Linux) interfaceA new TRNSYS Type (331) is introducedModule is coupled with FEFLOW via the RPC protocol
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20FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
TRNSYS Coupling
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21FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
TRNSYS CouplingSeasonal solar thermal energy storage (at summer) and re-extraction (at winter) of BHE array consisting of 80 2U-pipe system (Crailsheim, Germany) controlled via FEFLOW-TRNSYS IFM interface (IfmTRNSYS)
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22FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
3 m
Ø 30 m
Anbindung Heizzentrale
Verbindungsstelle
Sonde innerer KreisSonde äußerer Kreis
z
r
Simulation of Crailsheim Site
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23FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
aquifer 1
aquifer 2
Simulation of Crailsheim Site
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24FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Loading: ½ yr
without groundwater
with groundwater
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25FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Unloading: 1 yr
without groundwater
with groundwater
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26FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Loading: 1½ yrs
without groundwater
with groundwater
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27FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Unloading: 2 yrs
without groundwater
with groundwater
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28FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Loading: 2½ yrs
without groundwater
with groundwater
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29FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Unloading: 3 yrs
without groundwater
with groundwater
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30FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Loading: 3½ yrs
without groundwater
with groundwater
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31FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Unloading: 4 yrs
without groundwater
with groundwater
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32FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Loading: 4½ yrs
without groundwater
with groundwater
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33FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Unloading: 5 yrs
without groundwater
with groundwater
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34FEFLOW 2009, September 14FEFLOW 2009, September 14--18, 2009, Potsdam/Berlin, Germany18, 2009, Potsdam/Berlin, Germany
Conclusions
BHE tools (analytical, numerical) available in FEFLOW (-> 5.4, 6.0).
Analytical method for long-term predictions.
Appropriate for analysis of single BHE and BHE arrays.
Improved modeling for complex borehole energy store systems (e.g., SuN) to analyze influences of groundwater flow.
Computation of arbitrary heating/cooling systems via FEFLOW-TRNSYS coupling.