A novel flow-resistor network model for characterizing enhanced geothermal system heat reservoir

Jian GUO, Wenjiong CAO, Yiwei WANG, Fangming JIANG

PDF(423 KB)
PDF(423 KB)
Front. Energy ›› 2019, Vol. 13 ›› Issue (1) : 99-106. DOI: 10.1007/s11708-018-0555-1
RESEARCH ARTICLE
RESEARCH ARTICLE

A novel flow-resistor network model for characterizing enhanced geothermal system heat reservoir

Author information +
History +

Abstract

The fracture characteristics of a heat reservoir are of critical importance to enhanced geothermal systems, which can be investigated by theoretical modeling. This paper presents the development of a novel flow-resistor network model to describe the hydraulic processes in heat reservoirs. The fractures in the reservoir are simplified by using flow resistors and the typically complicated fracture network of the heat reservoir is converted into a flow-resistor network with a reasonably simple pattern. For heat reservoirs with various fracture configurations, the corresponding flow-resistor networks are identical in terms of framework though the networks may have different section numbers and the flow resistors may have different values. In this paper, numerous cases of different section numbers and resistor values are calculated and the results indicate that the total number of flow resistances between the injection and production wells is primarily determined by the number of fractures in the reservoir. It is also observed that a linear dependence of the total flow resistance on the number of fractures and the relation is obtained by the best fit of the calculation results. Besides, it performs a case study dealing with the Soultz enhanced geothermal system (EGS). In addition, the fracture numbers underneath specific well systems are derived. The results provide insight on the tortuosity of the flow path between different wells.

Keywords

enhanced geothermal systems / flow-resistor network model / fracture characteristics / heat reservoir

Cite this article

Download citation ▾
Jian GUO, Wenjiong CAO, Yiwei WANG, Fangming JIANG. A novel flow-resistor network model for characterizing enhanced geothermal system heat reservoir. Front. Energy, 2019, 13(1): 99‒106 https://doi.org/10.1007/s11708-018-0555-1

References

[1]
An MIT-Led Interdisciplinary Panel (chaired by J.W. Tester). The Future of Geothermal Energy, Impact of Enhanced Geothermal Systems (EGS) on the United States in the 21st Century. 2006, https://www1.eere.energy.gov/geothermal/pdfs/future_geo_energy.pdf
[2]
Ghassemi A, Tarasovs S, Cheng H A D A. 3-D study of the effects of thermomechanical loads on fracture slip in enhanced geothermal reservoirs. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(8): 1132–1148
CrossRef Google scholar
[3]
De Simone S, Vilarrasa V, Carrera J, Alcolea A, Meier P. Thermal coupling may control mechanical stability of geothermal reservoirs during cold water injection. Physics and Chemistry of the Earth Parts A/B/C, 2013, 64(64): 117–126
CrossRef Google scholar
[4]
Valley B, Evans K F. Stress state at Soultz-sous-Forêts to 5 km depth from wellbore failure and hydraulic observations. In: Proceedings of 32nd Workshop on Geothermal Reservoir Engineering, Stanford University, Stanford, 2007
[5]
Genter A, Cuenot N, Dezayes C, Sausse J, Valley B, Baumgartner J, Fritsch D. How a better characterization of a deep crystalline reservoir can contribute to improve EGS performance at Soultz. In: 1st European Geothermal Review, Geothermal Energy for Electric Power Production, Germany, 2007
[6]
Valley B, Dezayes C, Genter A. Multiscale fracturing in the Soultz-sous-Forêts basement from borehole image analyses. In: Proceedings EHDRA Scientific Conference, France, 2007
[7]
Dezayes C, Genter A, Valley B. Structure of the low permeable naturally fractured geothermal reservoir at Soultz. Comptes Rendus Geoscience, 2010, 342(7–8): 517–530
CrossRef Google scholar
[8]
Dezayes C, Genter A, Valley B. Overview of the fracture network at different scales within the granite reservoir of the EGS Soultz site (Alsace, France). In: World Geothermal Congress, 2010, 96(8): 4928–4937
[9]
Baria1 R, Michelet S, Baumgaertner J, Dyer B, Gerard A, Nicholls J, Hettkamp T, Teza D, Soma N, Asanuma H, Garnish J, Megel T. Microseismic monitoring of the world’s largest potential HDR reservoir. In: 29th Workshop on Geothermal Reservoir Engineering, Stanford University, Stanford, 2004
[10]
Cuenot N, Dorbath C, Dorbath L. Analysis of the microseismicity induced by fluid injections at the EGS site of Soultz-sous-Forêts (Alsace, France): implications for the characterization of the geothermal reservoir properties. Pure and Applied Geophysics, 2008, 165(5): 797–828
CrossRef Google scholar
[11]
Dorbath L, Cuenot N, Genter A, Frogneux M. Seismic response of the fractured and faulted granite of Soultz-sous- Forêts (France) to 5 km deep massive water injections. Geophysical Journal of the Royal Astronomical Society, 2009, 177(2): 653–675
CrossRef Google scholar
[12]
Dyer B C. Soultz GPK2 stimulation June/July 2000. Seismic Monitoring Field Report, 2000
[13]
Sanjuan B, Pinault J, Rose P, Gerard A, Brach M, Braibant G, Crouzet C, Foucher J, Gautier A, Touzelet S. Tracer testing of the geothermal heat exchanger at Soultz-sous-Forêts (France) between 2000 and 2005. Geothermics, 2006, 35(5–6): 622–653
CrossRef Google scholar
[14]
Vogt C, Kosack C, Marquart G. Stochastic inversion of the tracer experiment of the enhanced geothermal system demonstration reservoir in Soultz-sous-Forêts—revealing pathways and estimating permeability distribution. Geothermics, 2012, 42(42): 1–12
CrossRef Google scholar
[15]
Radilla G, Sausse J, Sanjuan B, Fourar M. Interpreting tracer tests in the enhanced geothermal system (EGS) of Soultz-sous-Forêts using the equivalent stratified medium approach. Geothermics, 2012, 44: 43–51
CrossRef Google scholar
[16]
Hicks T W, Pine R J, Willis-Richards J, Xu S, Jupe A J, Rodrigues N E V. A hydro-thermo-mechanical numerical model for HDR geothermal reservoir evaluation. International Journal of Rock Mechanics and Mining Sciences, 1996, 33(5): 499–511
CrossRef Google scholar
[17]
Swenson D, Duteau R, Sprecker T. Modelling flow in a jointed geothermal reservoir. In: World Geothermal Congress, 1995, 2553–2558
[18]
Kolditz O, Diersch H J. Quasi-steady state strategy for numerical simulation of geothermal circulation in hot dry rock fractures. International Journal of Non-linear Mechanics, 1993, 28(4): 467–481
CrossRef Google scholar
[19]
Bruel D, Cacas M C. Numerical Modeling Technique: Contribution to the Soultz HDR Project. New York: Gordon & Breach, 1992
[20]
Lanyon G W, Batchelor A S. Modelling for the UK hot dry rock programme using the fracture network method: summary report. Geoscience Report, 1992, 59: 5–78
[21]
Watanabe K, Takahashi H. A model analysis of the long-term performance of hot dry rock geothermal energy extractions systems. In: Proceedings of the JSME-ASME International Conference on Power Engineering, Tokyo, Japan, 1993:453–458
[22]
Kolditz O. Modelling flow and heat transfer in fractured rocks: dimensional effect of matrix heat diffusion. Geothermics, 1995, 24(3): 421–437
CrossRef Google scholar
[23]
Bruel D. Heat extraction modelling from forced fluid flow through stimulated fractured rock masses: application to the Rosemanowes hot dry rock reservoir. Geothermics, 1995, 24(3): 361–374
CrossRef Google scholar
[24]
Kolditz O, Clauser C. Numerical simulation of flow and heat transfer in fractured crystalline rocks: application to the hot dry rock site in Rosemanowes (U.K.). Geothermics, 1998, 27(1): 1–23
CrossRef Google scholar
[25]
Shaik A R, Rahman S S, Tran N, Tran T. Numerical simulation of fluid-rock coupling heat transfer in naturally fractured geothermal system. Applied Thermal Engineering, 2011, 31(10): 1600–1606
CrossRef Google scholar
[26]
Yang Y, Yeh H. Modeling heat extraction from hot dry rock in a multi-well system. Applied Thermal Engineering, 2009, 29(8–9): 1676–1681
CrossRef Google scholar
[27]
Gelet R, Loret B, Khalili N. A thermo-hydro-mechanical coupled model in local thermal non-equilibrium for fractured HDR reservoir with double porosity. Journal of Geophysical Research. Solid Earth, 2012, 117(B7): 205–228
[28]
Kalinina E, McKenna S, Hadgu T, Lowry T. Analysis of the effects of heterogeneity on heat extraction in an EGS represented with the continuum fracture model. Cochlear Implants International, 2012, 5(S1): 132–134
[29]
Jiang F M, Luo L, Chen J L. A novel three-dimensional transient model for subsurface heat exchange in enhanced geothermal systems. International Communications in Heat and Mass Transfer, 2012, 41(1): 57–62
[30]
Jiang F M, Chen J L, Huang W B, Luo L. A three-dimensional transient model for EGS subsurface thermo-hydraulic process. Energy, 2014, 72(7): 300–310
CrossRef Google scholar
[31]
Cao W J, Huang W B, Jiang F M. Numerical study on variable thermophysical properties of heat transfer fluid affecting EGS heat extraction. International Journal of Heat and Mass Transfer, 2016, 92: 1205–1217
CrossRef Google scholar
[32]
Clayton T C, Donald F E, John A R. Engineering Fluid Mechanics. New York: McGraw-Hill Inc, 2001
[33]
Genter A, Traineau H. Analysis of macroscopic fractures in granite in the HDR geothermal well ESP-1, Soultz-sous-Forêts, France. Journal of Volcanology and Geothermal Research, 1996, 72(1–2): 121–141
CrossRef Google scholar

Acknowledgments

This work was financially supported by the National Natural Science Foundation of China (Grant No. 51406213) and the Natural Science Foundation of Guangdong (Grant No. S2013040013967).

RIGHTS & PERMISSIONS

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
AI Summary AI Mindmap
PDF(423 KB)

Accesses

Citations

Detail

Sections
Recommended

/