Technical Papers
Oct 31, 2023

Numerical Research of Thermo–Hydro–Mechanical Response and Heat Transfer in a Multiwell EGS with Rough-Walled Fractures after Shear Deformation

Publication: International Journal of Geomechanics
Volume 24, Issue 1

Abstract

Natural fractures may not be developed in hot dry rock reservoirs, and tectonism or fracturing can induce the shear deformation of fractures and result in large-scale rough-walled fractures. Previous studies usually ignore the effect of rough walls on production performance. This study constructs a 3D multiwell enhanced geothermal system (EGS) model with two rough-walled fractures after shear deformation, systematically investigates the response characteristics of each physical field under the thermo–hydro–mechanical coupling, and determines the effect of the distribution of two rough-walled fractures and the relationship between the well layout scheme and the shear deformation direction on the production performance. The obtained results indicate that the distribution and evolution of the temperature and seepage fields are controlled by the fractures. The stress has a clear impact on the fracture permeability, up to approximately four times the initial permeability. The water preferentially extracts the heat from the reservoir rock between fractures. When the intersecting angles of fractures are 10° and 30°, there exists a sufficient heat exchange domain and a shorter average distance between fractures, which can enhance the production efficiency. The well layout perpendicular to the shear deformation direction is conducive to delaying the lifespan of the EGS and extracting more heat over a longer exploitation time. These key results can provide reasonable suggestions for the optimal development strategy in EGSs.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

No data, models, or codes were generated or used during the study.

Acknowledgments

The authors acknowledge the financial support of the National Natural Science Foundation of China (Grant No. 52074332) and Shandong Provincial Science Fund for Excellent Young Scholars (ZR2020YQ36).

Notations

The following symbols are used in this paper:
C
cumulative thermal production, J;
Cfr
fracture heat capacity, J/(kg · K);
Cm
rock heat capacity, J/(kg · K);
Cw
water heat capacity, J/(kg · K);
dfr
fracture aperture, m;
Fi
volume force, N/m3;
G
shear modulus, Pa;
K
volume modulus, Pa;
kfr
fracture permeability, m2;
km
rock permeability, m2;
kn
normal stiffness, Pa/m;
p
fluid pressure, Pa;
Pout
production thermal power, W;
Qf
flow exchange, kg/(m3 · s);
Qf
source/sink term, kg/(m3 · s);
S
storage coefficient, 1/Pa;
Sfr
storage coefficient, 1/Pa;
T
temperature, K;
Tout
production temperature,°C;
u
displacement, m;
ufr
fracture flow velocity, m/s;
un
normal displacement, m;
uw
flow velocity, m/s;
Wf
heat exchange, W/m3;
αB
Biot coefficient;
αT
thermal expansion coefficient;
ɛV
volume strain;
η
heat extraction ratio;
λ
lame constant;
λfr
fracture thermal conductivity, W/(m · K);
λm
rock thermal conductivity, W/(m · K);
λw
water thermal conductivity, W/(m · K);
μw
fluid viscosity, mPa·s;
ρfr
fracture density, kg/m3;
ρm
reservoir rock density, kg/m3;
ρw
water density, kg/m3;
σn
normal stress, Pa;
σn
normal effective stress, Pa;
φfr
fracture porosity; and
φr
reservoir rock porosity.

References

Bai, B. 2005. “One-dimensional thermal consolidation characteristics of geotechnical media under non-isothermal condition.” Eng. Mech. 22 (5): 186–191.
Barends, F. B. 2010. “Complete solution for transient heat transport in porous media, following Lauwerier’s concept.” In Proc., SPE Annual Technical Conf. and Exhibition. SPE-134670-MS. Florence, Italy: The Society of Petroleum Engineers.
Baujard, C., A. Genter, E. Dalmais, V. Maurer, R. Hehn, R. Rosillette, J. Vidal, and J. Schmittbuhl. 2017. “Hydrothermal characterization of wells GRT-1 and GRT-2 in Rittershoffen, France: Implications on the understanding of natural flow systems in the Rhine Graben.” Geothermics 65: 255–268. https://doi.org/10.1016/j.geothermics.2016.11.001.
Bongole, K., Z. Sun, J. Yao, A. Mehmood, W. Yueying, J. Mboje, and Y. Xin. 2019. “Multifracture response to supercritical CO2-EGS and water-EGS based on thermo-hydro-mechanical coupling method.” Int. J. Energy Res. 43 (13): 7173–7196. https://doi.org/10.1002/er.4743.
Daniilidis, A., S. Saeid, and N. G. Doonechaly. 2021. “The fault plane as the main fluid pathway: Geothermal field development options under subsurface and operational uncertainty.” Renewable Energy 171: 927–946. https://doi.org/10.1016/j.renene.2021.02.148.
Egert, R., M. G. Korzani, S. Held, and T. Kohl. 2020. “Implications on large-scale flow of the fractured EGS reservoir Soultz inferred from hydraulic data and tracer experiments.” Geothermics 84: 101749. https://doi.org/10.1016/j.geothermics.2019.101749.
Gong, F., T. Guo, W. Sun, Z. Li, B. Yang, Y. Chen, and Z. Qu. 2020. “Evaluation of geothermal energy extraction in Enhanced Geothermal System (EGS) with multiple fracturing horizontal wells (MFHW).” Renewable Energy 151: 1339–1351. https://doi.org/10.1016/j.renene.2019.11.134.
Guo, B., P. Fu, Y. Hao, C. A. Peters, and C. R. Carrigan. 2016. “Thermal drawdown-induced flow channeling in a single fracture in EGS.” Geothermics 61: 46–62. https://doi.org/10.1016/j.geothermics.2016.01.004.
Guo, T., S. Tang, S. Liu, X. Liu, W. Zhang, and G. Qu. 2020. “Numerical simulation of hydraulic fracturing of hot dry rock under thermal stress.” Eng. Fract. Mech. 240: 107350. https://doi.org/10.1016/j.engfracmech.2020.107350.
He, L., C. Huang, Q. Hu, J. Zeng, and H. Wang. 2023. “Experimental investigation on failure mechanism of hot dry rock under microwave irradiation.” Int. J. Geomech. 23 (4): 04023021. https://doi.org/10.1061/IJGNAI.GMENG-7963.
Held, S., A. Genter, T. Kohl, T. Kölbel, J. Sausse, and M. Schoenball. 2014. “Economic evaluation of geothermal reservoir performance through modeling the complexity of the operating EGS in Soultz-sous-Forêts.” Geothermics 51: 270–280. https://doi.org/10.1016/j.geothermics.2014.01.016.
Horst, T., K. Reincke, S. Ilisch, G. Heinrich, and W. Grellmann. 2009. “Fracture surface statistics of filled elastomers.” Phys. Rev. E 80 (4): 046120. https://doi.org/10.1103/PhysRevE.80.046120.
Hu, Y. Z., and K. Tonder. 1992. “Simulation of 3-D random rough surface by 2-D digital filter and Fourier analysis.” Int. J. Mach. Tools Manuf. 32 (1): 83–90. https://doi.org/10.1016/0890-6955(92)90064-N.
Lei, Z., Y. Zhang, S. Zhang, L. Fu, Z. Hu, Z. Yu, L. Li, and J. Zhou. 2020. “Electricity generation from a three-horizontal-well enhanced geothermal system in the Qiabuqia geothermal field, China: Slickwater fracturing treatments for different reservoir scenarios.” Renewable Energy 145: 65–83. https://doi.org/10.1016/j.renene.2019.06.024.
Li, Z.-W., X.-T. Feng, Y.-J. Zhang, C. Zhang, T.-F. Xu, and Y.-S. Wang. 2017. “Experimental research on the convection heat transfer characteristics of distilled water in manmade smooth and rough rock fractures.” Energy 133: 206–218. https://doi.org/10.1016/j.energy.2017.05.127.
Maurer, V., E. Gaucher, M. Grunberg, R. Koepke, R. Pestourie, and N. Cuenot. 2020. “Seismicity induced during the development of the Rittershoffen geothermal field, France.” Geotherm. Energy 8 (1): 1–31. https://doi.org/10.5445/IR/1000105851.
Mohais, R., C. Xu, and P. Dowd. 2011. “Fluid flow and heat transfer within a single horizontal fracture in an enhanced geothermal system.” J. Heat Transfer 133 (11): 112603. https://doi.org/10.1115/1.4004369.
Moriya, H., H. Niitsuma, and R. Baria. 2004. “Estimation of critical pore pressure for shear slip of fractures at the Soultz hot dry rock geothermal reservoir using microseismic multiplets.” Elsevier Geo-Eng. Book Series 2: 691–695. https://doi.org/10.1016/S1571-9960(04)80120-4.
Pruess, K. 1983. “Heat transfer in fractured geothermal reservoirs with boiling.” Water Resour. Res. 19 (1): 201–208. https://doi.org/10.1029/WR019i001p00201.
Rahman, M. M., and S. S. Rahman. 2013. “Studies of hydraulic fracture-propagation behavior in presence of natural fractures: Fully coupled fractured-reservoir modeling in poroelastic environments.” Int. J. Geomech. 13 (6): 809–826. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000274.
Saeid, S., N. Gholizadeh-Doonechaly, and A. Daniilidis. 2019. “The influence of physical and operational reservoir parameters on the well placement strategies in geothermal reservoirs: A case study in Rittershoffen faulted geothermal reservoir, France.” Geophys. Res. Abstr. 21: 16685.
Salimzadeh, S., and N. Khalili. 2016. “Fully coupled XFEM model for flow and deformation in fractured porous media with explicit fracture flow.” Int. J. Geomech. 16 (4): 04015091. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000623.
Santucci, S., K. J. Måløy, A. Delaplace, J. Mathiesen, A. Hansen, J. Ø. Haavig Bakke, J. Schmittbuhl, L. Vanel, and P. Ray. 2007. “Statistics of fracture surfaces.” Phys. Rev. E 75 (1): 016104. https://doi.org/10.1103/PhysRevE.75.016104.
Shi, Y., X. Song, J. Li, G. Wang, R. Zheng, and F. YuLong. 2019. “Numerical investigation on heat extraction performance of a multilateral-well enhanced geothermal system with a discrete fracture network.” Fuel 244: 207–226. https://doi.org/10.1016/j.fuel.2019.01.164.
Song, X., Y. Shi, G. Li, R. Yang, G. Wang, R. Zheng, J. Li, and Z. Lyu. 2018. “Numerical simulation of heat extraction performance in enhanced geothermal system with multilateral wells.” Appl. Energy 218: 325–337. https://doi.org/10.1016/j.apenergy.2018.02.172.
Sun, Z.-x., X. Zhang, Y. Xu, J. Yao, H.-x. Wang, S. Lv, Z.-l. Sun, Y. Huang, M.-y. Cai, and X. Huang. 2017. “Numerical simulation of the heat extraction in EGS with thermal-hydraulic-mechanical coupling method based on discrete fractures model.” Energy 120: 20–33. https://doi.org/10.1016/j.energy.2016.10.046.
Vidal, J., A. Genter, and F. Chopin. 2017. “Permeable fracture zones in the hard rocks of the geothermal reservoir at Rittershoffen, France.” J. Geophys. Res.: Solid Earth 122 (7): 4864–4887. https://doi.org/10.1002/2017JB014331.
Wang, H., H. Liu, D. Chen, H. Wu, and X. Jin. 2022. “Thermal response of the fractured hot dry rocks with thermal-hydro-mechanical coupling effects.” Geothermics 104: 102464. https://doi.org/10.1016/j.geothermics.2022.102464.
Wang, Y., T. Li, Y. Chen, and G. Ma. 2019. “Numerical analysis of heat mining and geological carbon sequestration in supercritical CO2 circulating enhanced geothermal systems inlayed with complex discrete fracture networks.” Energy 173: 92–108. https://doi.org/10.1016/j.energy.2019.02.055.
Yao, J., X. Zhang, Z. Sun, Z. Huang, J. Liu, Y. Li, Y. Xin, X. Yan, and W. Liu. 2018. “Numerical simulation of the heat extraction in 3D-EGS with thermal-hydraulic-mechanical coupling method based on discrete fractures model.” Geothermics 74: 19–34. https://doi.org/10.1016/j.geothermics.2017.12.005.
Zhang, B., Z. Qu, T. Guo, M. Sheng, M. Chen, J. Wang, Y. Wang, and C. Guo. 2022. “Coupled thermal-hydraulic investigation on the heat extraction performance considering a fractal-like tree fracture network in a multilateral well enhanced geothermal system.” Appl. Therm. Eng. 208: 118221. https://doi.org/10.1016/j.applthermaleng.2022.118221.
Zhang, C. P., P. Cheng, P. G. Ranjith, Y. Y. Lu, and J. P. Zhou. 2020a. “A comparative study of fracture surface roughness and flow characteristics between CO2 and water fracturing.” J. Nat. Gas Sci. Eng. 76: 103188. https://doi.org/10.1016/j.jngse.2020.103188.
Zhang, F., Z. Jiang, Z. Chen, Z. Yin, and J. Tang. 2020b. “Hydraulic fracturing induced fault slip and casing shear in Sichuan Basin: A multi-scale numerical investigation.” J. Pet. Sci. Eng. 195: 107797. https://doi.org/10.1016/j.petrol.2020.107797.
Zhang, S., S. Yin, and Y. Yuan. 2015. “Estimation of fracture stiffness, in situ stresses, and elastic parameters of naturally fractured geothermal reservoirs.” Int. J. Geomech. 15 (1): 04014033. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000380.
Zhang, W., Z. Qu, T. Guo, and Z. Wang. 2019. “Study of the enhanced geothermal system (EGS) heat mining from variably fractured hot dry rock under thermal stress.” Renewable Energy 143: 855–871. https://doi.org/10.1016/j.renene.2019.05.054.
Zhao, Z. 2014. “On the heat transfer coefficient between rock fracture walls and flowing fluid.” Comput. Geotech. 59: 105–111. https://doi.org/10.1016/j.compgeo.2014.03.002.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 1January 2024

History

Received: Mar 6, 2023
Accepted: Jul 10, 2023
Published online: Oct 31, 2023
Published in print: Jan 1, 2024
Discussion open until: Mar 31, 2024

Permissions

Request permissions for this article.

Authors

Affiliations

Bo Zhang
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China.
Tiankui Guo [email protected]
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China (corresponding author). Email: [email protected]
Zhanqing Qu
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China.
Ming Chen
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China.
Jiwei Wang
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China.
Tong Hao
School of Petroleum Engineering, China Univ. of Petroleum (East China), Qingdao 266580, China; Key Laboratory of Unconventional Oil & Gas Development, China Univ. of Petroleum (East China), Ministry of Education, Qingdao 266580, China; National Key Laboratory of Deep Oil and Gas, China Univ. of Petroleum (East China), Qingdao 266580, China.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share