Abstract
The permeability of thermally cracked granites is crucial information for understanding and modeling a number of processes in the earth’s crust, such as folding, geothermal activity, magmatic intrusions, and nuclear waste disposal. Factors, including the coefficient of thermal expansion, elastic modulus, grain size, and bonding stress, have a significant impact on thermal cracking and induced permeability. We performed thermal cracking experiments on granite with different grain sizes to determine the effect of grain size on permeability. The results indicated that permeability increased with temperature up to 700 °C for all samples. The ratio of permeability at the target temperature to that at room temperature is an exponential function of temperature. Coarse-grained granite has a higher increase in permeability than fine-grained granite. A mathematical model was presented to explain the effect of grain size on thermal cracking and induced permeability. In addition, the model can also quantitatively describe the influence of the linear thermal expansion coefficient and elastic modulus of minerals on thermal cracking.
Similar content being viewed by others
References
Chen Y, Wang CY (1980) Thermally induced acoustic emission in westerly granite. Geophys Res Lett 7(12):1089–1092. https://doi.org/10.1029/gl007i012p01089
Chen Y, Wu XD, Zhang FQ (1999) Experimental study on thermal cracking of rock. Chin Sci Bull 44(8):880–883. https://doi.org/10.1360/csb1999-44-8-880
Chen SW, Yang CH, Wang GB (2017) Evolution of thermal damage and permeability of Beishan granite. Appl Therm Eng 110:1533–1542. https://doi.org/10.1016/j.applthermaleng.2016.09.075
Cooper HW, Simmons G (1977) The effect of cracks on the thermal expansion of rocks. Earth Planet Sci Lett 36:404–412. https://doi.org/10.1016/0012-821x(77)90065-6
Darot M, Gueguen Y, Baratin ML (1992) Permeability of thermally cracked granite. Geophys Res Lett 19(9):869–872. https://doi.org/10.1029/92gl00579
Diane EM, David AL, James DB (1994) Reduction of permeability in granite at elevated temperatures. Science 265(5178):1558–1561. https://doi.org/10.1126/science.265.5178.1558
Engineering ToolBox (2003) Coefficients of Linear Thermal Expansion. https://www.engineeringtoolbox.com/linear-expansion-coefficients-d_95.html
Feng ZJ, Zhao YS, Zhang Y, Wan ZJ (2018) Real-time permeability evolution of thermally cracked granite at triaxial stresses. Appl Therm Eng 133:194–200. https://doi.org/10.1016/j.applthermaleng.2018.01.037
Fredrich JT, Wong TF (1986) Micromechanics of thermally induced cracking in three crustal rocks. J Geophys Res 91(B12):12743–12764. https://doi.org/10.1029/jb091ib12p12743
Ghassemi A (2012) A review of some rock mechanics issues in geothermal reservoir development. Geotech Geol Eng 30:647–664. https://doi.org/10.1007/s10706-012-9508-3
Griffiths L, Heap MJ, Baud P, Schmittbuhl J (2017) Quantification of microcrack characteristics and implications for stiffness and strength of granite. Int J Rock Mech Min Sci 100:138–150. https://doi.org/10.1016/j.ijrmms.2017.10.013
Guo LL, Zhang YB, Zhang YJ, Yu ZW, Zhang JN (2018) Experimental investigation of granite properties under different temperatures and pressures and numerical analysis of damage effect in enhanced geothermal system. Renew Energy 126:107–125. https://doi.org/10.1016/j.renene.2018.02.117
He LX, Yin Q, Jing HW (2018) Laboratory investigation of granite permeability after high-temperature exposure. Processes 6(4):36. https://doi.org/10.3390/pr6040036
Homand EF, Houpert R (1989) Thermally induced cracking in granites: characterization and analysis. Int J Rock Mech Min Sci Geomech Abstr 26(2):125–134. https://doi.org/10.1016/0148-9062(89)90001-6
Jin PH, Hu YQ, Shao JX, Zhao GK, Zhu XZ, Li C (2019) Influence of different thermal cycling treatments on the physical, mechanical and transport properties of granite. Geothermics 78:118–128. https://doi.org/10.1016/j.geothermics.2018.12.008
Jones C, Keaney G, Meredlth PG, Murrell SAF (1997) Acoustic emission and fluid permeability measurements on thermally cracked rocks. Phys Chem Earth Part A 22(1–2):13–17. https://doi.org/10.1016/S0079-1946(97)00071-2
Kamali AA, Ghazanfari E, Perdrial N, Bredice N (2018) Experimental study of fracture response in granite specimens subjected to hydrothermal conditions relevant for enhanced geothermal systems. Geothermics 72:205–224. https://doi.org/10.1016/j.geothermics.2017.11.014
Kohl T, Evansi KF, Hopkirk RJ, Rybach L (1995) Coupled hydraulic, thermal and mechanical considerations for the simulation of hot dry rock reservoirs. Geothermics 24:345–359. https://doi.org/10.1016/0375-6505(95)00013-G
Kumari WGP, Ranjith PG, Perera MSA, Shao S, Chen BK, Lashin A, Arifi NA, Rathnaweera TD (2017) Mechanical behaviour of Australian Strathbogie granite under in-situ stress and temperature conditions: an application to geothermal energy extraction. Geothermics 65:44–59. https://doi.org/10.1016/j.geothermics.2016.07.002
Liu S, Xu JY (2015) An experimental study on the physico-mechanical properties of two post-high-temperature rocks. Eng Geol 185:63–70. https://doi.org/10.1016/j.enggeo.2014.11.013
McNeil LE, Grimsditch M (1993) Elastic moduli of muscovite mica. J Phys Condens Mater 5(11):1681–1690. https://doi.org/10.1088/0953-8984/5/11/008
Menéndez B, David C, Darot M (1999) A study of the crack network in thermally and mechanically cracked granite samples using confocal scanning laser microscopy. Phys Chem Earth (A) 24(7):627–632. https://doi.org/10.1016/S1464-1895(99)00091-5
Menéndez B, David C, Nistal AM (2001) Confocal scanning laser microscopy applied to the study of pore and crack networks in rocks. Comput Geosci UK 27(9):1101–1109. https://doi.org/10.1016/S0098-3004(00)00151-5
Morrow C, Lockner D, Byerlee J (1981) Permeability of granite in a temperature gradient. J Geophys Res 86(B4):3002–3008. https://doi.org/10.1029/jb086ib04p03002
Precision Pressed Products (2020) Typical Properties of Muscovite & Phlogopite Mica. https://www.precisionmica.com/properties-of-mica/
Summers R, Winkler K, Byerlee J (1978) Permeability changes during the flow of water through westerly granite at temperatures of 100 ℃–400 ℃. J Geophys Res 83(B1):339–344. https://doi.org/10.1029/JB083iB01p00339
Sun Q, Lv C, Cao LW, Li WC, Geng JS, Zhang WQ (2016) Thermal properties of sandstone after treatment at high temperature. Int J Rock Mech Min Sci 85:60–66. https://doi.org/10.1016/j.ijrmms.2016.03.006
Villarraga CJ, Gasc-Barbier M, Vaunat J, Darrozes J (2018) The effect of thermal cycles on limestone mechanical degradation. Int J Rock Mech Min Sci 109:115–123. https://doi.org/10.1016/j.ijrmms.2018.06.017
Wang HF, Bonner BP, Carlson SR, Kowallis BJ, Heard HC (1989) Thermal stress cracking in granite. J Geophys Res 94(B2):1745–1758. https://doi.org/10.1029/JB094iB02p01745
Whitney DL, Broz M, Cook RF (2007) Hardness, toughness, and modulus of some common metamorphic minerals. Am Miner 92(2–3):281–288. https://doi.org/10.2138/am.2007.2212
Wong TF, Brace WF (1979) Thermal expansion of rocks: some measurements at high pressure. Tectonophysics 57(2–4):95–117. https://doi.org/10.1016/0040-1951(79)90143-4
Yang SQ, Ranjith PG, Jing HW, Tian WL, Ju Y (2017) An experimental investigation on thermal damage and failure mechanical behavior of granite after exposure to different high temperature treatments. Geothermics 65:180–197. https://doi.org/10.1016/j.geothermics.2016.09.008
Yin WT, Zhao YS, Feng ZJ (2019) Experimental research on the rupture characteristics of fractures subsequently filled by magma and hydrothermal fluid in hot dry rock. Renew Energy 139:71–79. https://doi.org/10.1016/j.renene.2019.02.074
Zhang WQ, Sun Q, Hao SQ, Geng JS, Lv C (2016) Experimental study on the variation of physical and mechanical properties of rock after high temperature treatment. Appl Therm Eng 98:1297–1304. https://doi.org/10.1016/j.applthermaleng.2016.01.010
Zhang F, Zhao JJ, Hu DW, Skoczylas F, Shao JF (2018) Laboratory investigation on physical and mechanical properties of granite after heating and water-cooling treatment. Rock Mech Rock Eng 51:677–694. https://doi.org/10.1007/s00603-017-1350-8
Zhao Y, Meng Q, Kang T, Zhang N, Xi BP (2008) Micro-CT experimental technology and meso-investigation on thermal fracturing characteristics of granite. Chin J Rock Mech Eng 27:28–34
Zhao YS, Feng ZJ, Zhao Y, Wan ZJ (2017) Experimental investigation on thermal cracking, permeability under HTHP and application for geothermal mining of HDR. Energy 132:305–314. https://doi.org/10.1016/j.energy.2017.05.093
Zhou H, Liu H, Hu D, Yang F, Lu J, Zhang F (2016) Anisotropies in mechanical behavior, thermal expansion and P-wave velocity of sandstone with bedding planes. Rock Mech Rock Eng 49(11):4497–4504. https://doi.org/10.1007/s00603-016-1016-y
Acknowledgements
We are grateful to Fei Gao for assistance with the experiments. This work was supported by the National Natural Science Foundation of China (Grant nos. U1810104, 11772213, 51574173) and the Program for the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi. The authors really appreciate the anonymous reviewers for the suggestions on improving the paper’s quality.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Feng, Zj., Zhao, Ys. & Liu, Dn. Permeability Evolution of Thermally Cracked Granite with Different Grain Sizes. Rock Mech Rock Eng 54, 1953–1967 (2021). https://doi.org/10.1007/s00603-020-02361-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-020-02361-3