A combined method using Lattice Boltzmann Method (LBM) and Finite Volume Method (FVM) to simulate geothermal reservoirs in Enhanced Geothermal System (EGS)

Xiang Gao; Tai-lu Li; Yu-wen Qiao; Yao Zhang; Ze-yu Wang

doi:10.26599/JGSE.2024.9280011

Volume 12 Issue 2

Jun. 2024

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Article Navigation > Journal of Groundwater Science and Engineering > 2024 > 12(2): 132-146

Gao X, Li TL, Qiao YW, et al. 2024. A combined method using Lattice Boltzmann Method (LBM) and Finite Volume Method (FVM) to simulate geothermal reservoirs in Enhanced Geothermal System (EGS). Journal of Groundwater Science and Engineering, 12(2): 132-146 doi: 10.26599/JGSE.2024.9280011

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A combined method using Lattice Boltzmann Method (LBM) and Finite Volume Method (FVM) to simulate geothermal reservoirs in Enhanced Geothermal System (EGS)

doi: 10.26599/JGSE.2024.9280011

1.
School of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300401, China

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Corresponding author: litailu19821028@163.com
Received Date: 2023-10-07
Accepted Date: 2024-04-13

Available Online: 2024-06-10

Publish Date: 2024-06-30

Abstract

Abstract

With the development of industrial activities, global warming has accelerated due to excessive emission of CO₂. Enhanced Geothermal System (EGS) utilizes deep geothermal heat for power generation. Although porous medium theory is commonly employed to model geothermal reservoirs in EGS, Hot Dry Rock (HDR) presents a challenge as it consists of impermeable granite with zero porosity, potentially distorting the physical interpretation. To address this, the Lattice Boltzmann Method (LBM) is employed to simulate CO₂ flow within geothermal reservoirs and the Finite Volume Method (FVM) to solve the energy conservation equation for temperature distribution. This combined method of LBM and FVM is implemented using MATLAB. The results showed that the Reynolds numbers (Re) of 3,000 and 8,000 lead to higher heat extraction rates from geothermal reservoirs. However, higher Re values may accelerate thermal breakthrough, posing challenges to EGS operation. Meanwhile, non-equilibrium of density in fractures becomes more pronounced during the system's life cycle, with non-Darcy's law becoming significant at Re values of 3,000 and 8,000. Density stratification due to buoyancy effects significantly impacts temperature distribution within geothermal reservoirs, with buoyancy effects at Re=100 under gravitational influence being noteworthy. Larger Re values (3,000 and 8,000) induce stronger forced convection, leading to more uniform density distribution. The addition of proppant negatively affects heat transfer performance in geothermal reservoirs, especially in single fractures. Practical engineering considerations should determine the quantity of proppant through detailed numerical simulations.
- Lattice boltzmann method,
- Finite volume method,
- Enhanced geothermal system,
- Geothermal reservoir,
- Proppant,
- Re,
- Heat extraction rate

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References(29)

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