Technical Papers
May 28, 2019

Micromechanics of Hydro-Thermo-Mechanical Processes in Rock Accounting for Thermal Convection

Publication: Journal of Engineering Mechanics
Volume 145, Issue 8

Abstract

This paper presents the results of a comprehensive micromechanical study to improve the understanding of the coupled hydro-thermo-mechanical (HTM) processes during injection of pressurized cold fluid in permeable hot rock. At the microscopic level, it is expected that fluid flow–induced convective temperature changes in the voids will dominate the conductive heat flow from grain to grain. However, the coupled interactions between fluid flow, thermal convection, and conduction, and the resulting changes in local permeability due to thermo-poroelastic stresses at the grain scale remain poorly understood. Moreover, almost all previous studies at a large scale have focused only on thermal conduction. This study used the discrete-element method (DEM) modified to account for convective heat transport to model the particulate interactions between rock grains and between rock deformation, fluid pressure, and temperature. The results indicate that wellbore pressure, provided it is less than the fracturing threshold, has a less significant role in rock cooling around the wellbore, which is governed predominately by rock permeability, as previously thought. Different applied flow rates into the wellbore resulted in low and high wellbore pressures at short times in the absence of rock fracturing. As expected, convective heat transport dominated over conduction, resulting in a cooled ring around the wellbore without a significant thermal gradient zone due to conductive heat flow. As the fluid infiltrates and cools the rock, preferential fluid flow paths occur as fingering instabilities that are oriented toward the minimum principal horizontal stress even in the absence of initial local anisotropic porosity variations.

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Acknowledgments

Financial support provided by the US Department of Energy under DOE Grant No. DE-FE0002760 is gratefully acknowledged. The opinions expressed in this paper are those of the authors and not the DOE.

References

Berkowitz, B., A. Cortis, D. Dentz, and H. Scher. 2006. “Modeling non-Fickian transport in geological formations as a continuous time random walk.” Rev. Geophys. 44 (2): 1–49. https://doi.org/10.1029/2005RG000178.
Bower, K. M., and G. Zyvoloski. 1997. “A numerical model for thermo-hydro-mechanical coupling in fractured rock.” Int. J. Rock Mech. Min. Sci. 34 (8): 1201–1211. https://doi.org/10.1016/S1365-1609(97)80071-8.
Brace, W. F., J. B. Walsh, and W. T. Frangos. 1968. “Permeability of granite under high pressure.” J. Geophys. Res. 73 (6): 2225–2236. https://doi.org/10.1029/JB073i006p02225.
Cundall, P. A. 2004. PFC user manual. Minneapolis: Itasca Consulting Group.
Elsworth, D. 1989. “Thermal permeability enhancement of blocky rocks: One-dimensional flows.” In Vol. 26 of Proc., Int. Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 329–339. Amsterdam, Netherlands: Elsevier.
Eppelbaum, L., I. Kutasov, and A. Pilchin, eds. 2014. “Thermal properties of rocks and density of fluids.” In Applied geothermics, 99–149. Berlin, Heidelberg: Springer.
Frash, L. P., M. Gutierrez, and J. C. Hampton. 2014. “True-triaxial apparatus for simulation of hydraulically fractured multi-borehole hot dry rock reservoirs.” Int. J. Rock Mech. Min. Sci. 100 (70): 496–506. https://doi.org/10.1016/j.ijrmms.2014.05.017.
Freeze, R. A., and J. A. Cherry 1979. In Vol. 7632 of Groundwater, 604. Englewood Cliffs, NJ: Prentice-Hall, Inc.
Geiger, S., and S. Emmanuel. 2010. “Non-Fourier thermal transport in fractured geological media.” Water Resour. Res. 46 (7): 1–13. https://doi.org/10.1029/2009WR008671.
Ghassemi, A. 2012. “A review of some rock mechanics issues in geothermal reservoir development.” Geotech. Geol. Eng. 30 (3): 647–664. https://doi.org/10.1007/s10706-012-9508-3.
Ghassemi, A., A. Nygren, and A. Cheng. 2008. “Effects of heat extraction on fracture aperture: A poro–thermoelastic analysis.” Geothermics 37 (5): 525–539. https://doi.org/10.1016/j.geothermics.2008.06.001.
Gibb, F. G. F., K. P. Travis, N. C. McTaggart, and D. Burley. 2008. “A model for heat flow in deep borehole disposals of high-level nuclear waste.” J. Geophys. Res. Solid Earth 113 (B5): 1–18. https://doi.org/10.1029/2007JB005081.
Gutierrez, M., and R. Lewis. 2002. “Coupling of fluid flow and deformation in underground formations.” J. Eng. Mech. 128 (7): 779–787. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(779).
Hicks, T. W., R. J. Pine, J. Willis-Richards, S. Xu, A. J. Jupe, and N. E. V. Rodrigues. 1966. “A hydro-thermo-mechanical numerical model for HDR geothermal reservoir evaluation.” In Vol. 33 of Proc., Int. Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 499–511. Amsterdam, Netherlands: Elsevier.
Holman, J. 1997. Heat transfer. New York: McGraw-Hill.
Koh, J., R. Hamid, and S. R. Sheik. 2011. “A numerical study on the long term thermo-poroelastic effects of cold water injection into naturally fractured geothermal reservoirs.” Comput. Geotech. 38 (5): 669–682. https://doi.org/10.1016/j.compgeo.2011.03.007.
Kolditz, O., and C. Clauser. 1998. “Numerical simulation of flow and heat transfer in fractured crystalline rocks: Application to the hot dry rock site in Rosemanowes (UK).” Geothermics 27 (1): 1–23. https://doi.org/10.1016/S0375-6505(97)00021-7.
McDermott, C. I., A. R. L. Randriamanjatosoa, T. Helmut, and K. Olaf. 2006. “Simulation of heat extraction from crystalline rocks: The influence of coupled processes on differential reservoir cooling.” Geothermics 35 (3): 321–344. https://doi.org/10.1016/j.geothermics.2006.05.002.
McDermott, C. I., R. Walsh, R. Mettier, G. Kosakowski, and O. Kolditz. 2009. “Hybrid analytical and finite element numerical modeling of mass and heat transport in fractured rocks with matrix diffusion.” Comput. Geosci. 13 (3): 349–361. https://doi.org/10.1007/s10596-008-9123-9.
Nakajima, H., M. Takeda, and M. Zhang. 2007. “Evaluation and application of the constant flow technique in testing low-permeability geo-materials.” In Proc., WM Symposia. Phoenix, AZ: Waste Management Symposia, Inc.
Ogata, A. 1970. Theory of dispersion in a granular medium., 1–40. Washington, DC: US Government Printing Office.
Ogata, A., and R. B. Banks. 1961. A solution of the differential equation of longitudinal dispersion in porous media., 1–13. Washington, DC: US Government Printing Office.
Olsen, H. W. 1966. “Darcy’s law in saturated kaolinite.” Water Resour. Res. 2 (2): 287–295. https://doi.org/10.1029/WR002i002p00287.
Patankar, S. 1980. Numerical heat transfer and fluid flow. Boca Raton, FL: CRC Press.
Robertson, E. C. 1988. Thermal properties of rocks. Reston, VA: USGS.
Rutqvist, J., B. Freifeld, K.-B. Min, D. Elsworth, and Y. Tsang. 2008. “Analysis of thermally induced changes in fractured rock permeability during 8 years of heating and cooling at the Yucca Mountain drift scale test.” Int. J. Rock Mech. Min. Sci. 45 (8): 1373–1389. https://doi.org/10.1016/j.ijrmms.2008.01.016.
Rutqvist, J., Y.-S. Wu, C.-G. Tsang, and G. Bodvarsson. 2002. “A modeling approach for analysis of coupled multiphase fluid flow, heat transfer, and deformation in fractured porous rock.” Int. J. Rock Mech. Min. Sci. 39 (4): 429–442. https://doi.org/10.1016/S1365-1609(02)00022-9.
Shackelford, C. D. 1993. “Contaminant transport.” In Geotechnical practice for waste disposal, edited by D. E. Daniel. Boston: Springer.
Taron, J., and D. Elsworth. 2009. “Thermal–hydrologic–mechanical–chemical processes in the evolution of engineered geothermal reservoirs.” Int. J. Rock Mech. Min. Sci. 46 (5): 855–864. https://doi.org/10.1016/j.ijrmms.2009.01.007.
Taron, J., D. Elsworth, and K.-B. Min. 2009. “Numerical simulation of thermal-hydrologic-mechanical-chemical processes in deformable, fractured porous media.” Int. J. Rock Mech. Min. Sci. 46 (5): 842–854. https://doi.org/10.1016/j.ijrmms.2009.01.008.
Tomac, I. 2014. “Micro-mechanical aspects of hydraulic fracture propagation and proppant flow and transport for stimulation of enhanced geothermal systems: A discrete element study.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Colorado School of Mines.
Tomac, I., and M. Gutierrez. 2015. “Formulation and implementation of coupled forced heat convection and heat conduction in DEM.” Acta Geotech 10 (4): 421–433. https://doi.org/10.1007/s11440-015-0400-1.
Tomac, I., and M. Gutierrez. 2016. “Coupled hydro-thermo-mechanical modeling of hydraulic fracturing in quasi-brittle rocks using BPM-DEM.” J. Rock Mech. Geotech. Eng. 9 (1): 92–104. https://doi.org/10.1016/j.jrmge.2016.10.001.
Wang, Y., and M. B. Dusseault. 2003. “A coupled conductive–convective thermo-poroelastic solution and implications for wellbore stability.” J. Pet. Sci. Eng. 38 (3): 187–198. https://doi.org/10.1016/S0920-4105(03)00032-9.
Yong, C., and C.-Y. Wang. 1980. “Thermally induced acoustic emission in westerly granite.” Geophys. Res. Lett. 7 (12): 1089–1092. https://doi.org/10.1029/GL007i012p01089.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 8August 2019

History

Received: May 22, 2018
Accepted: Dec 5, 2018
Published online: May 28, 2019
Published in print: Aug 1, 2019
Discussion open until: Oct 28, 2019

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Assistant Professor, Dept. of Structural Engineering, Univ. of California San Diego, 9500 Gilman Dr., La Jolla, CA 92093 (corresponding author). ORCID: https://orcid.org/0000-0002-7969-9525. Email: [email protected]
Marte Gutierrez, M.ASCE [email protected]
James R. Paden Chair and Distinguished Professor, Dept. of Civil and Environmental Engineering, Colorado School of Mines, 1012 14th St., Golden, CO 80401. Email: [email protected]

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