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Coupled thermal–hydraulic–mechanical–chemical modeling for permeability evolution of rocks through fracture generation and subsequent sealing

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Abstract

The coupled THMC model, interface for pressure solution analysis under coupled conditions, IPSACC, that was proposed by the authors and can describe the long-term evolution in rock permeability due to mineral reactions (i.e., pressure solution and free-face dissolution/precipitation) within rock fractures, was upgraded in the present study by incorporating the processes of fracture initiation/propagation. The remarkable characteristic of the proposed model is its ability to simulate the generation of fractures and the mineral reactions within the generated fractures as well as the subsequent changes in permeability. The proposed model was applied to predictions of the long-term changes in the permeability of rock located near high-level radioactive waste within a geological repository. The predicted results revealed that fractures were generated near the disposal cavity and that the permeability of the damaged zone increased significantly more than that of the intact rock during the excavation, while the permeability in almost the entire damaged zone decreased by about one order of magnitude due to pressure solution at the contacting asperities within the rock fractures after setting virtual radioactive waste into the disposal cavity. Overall, it was clarified that the proposed model is capable of calculating the permeability evolution of rock through fracture generation and subsequent sealing due to mineral reactions at the actual field scale. Thus, the potential for using the proposed model to examine the long-term performance of natural barriers for delaying the transport of radionuclides has been shown.

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References

  1. Aoyagi, K., Ishii, E.: A method for estimating the highest potential hydraulic conductivity in the excavation damaged zone in mudstone. Rock Mech. Rock. Eng. 52, 385–401 (2019)

    Google Scholar 

  2. Zhang, C.-H.: The stress-strain-permeability behaviour of clay rock during damage and recompaction. J. Rock Mech. Geotech. Eng. 8, 16–26 (2016)

    Google Scholar 

  3. Tsang, C.-F., Jing, L., Stephansson, O., Kautsky, F.: The DECOVALEX III project: a summary of activities and lessons learned. Int. J. Rock Mech. Min. Sci. 42, 593–610 (2005)

    Google Scholar 

  4. Homand-Etienne, F., Sebaibi, A.: Study of microcracking of the Lac du Bonnet granite. Eurock-ISRM Int. Symp. 2, 1353–1362 (1996)

    Google Scholar 

  5. Souley, M., Homand, F., Peda, S., Hoxha, D.: Damaged-induced permeability changes in granite: a case example at the URL in Canada. Int. J. Rock Mech. Min. Sci. 38, 297–310 (2001)

    Google Scholar 

  6. Carlsson, S.R., Young, R.P.: Acoustic emission and ultrasonic velocity study of excavated-induced microcrack damage at the underground research laboratory. Int. J. Rock Mech. Min. Sci. 30, 901–907 (1993)

    Google Scholar 

  7. Kelsall, P.C., Case, J.B., Chabanne, C.R.: Evaluation of excavation induced changes in permeability. Int. J. Rock Mech. Min. Sci. 21, 121–135 (1984)

    Google Scholar 

  8. Bauer, C., Homand, F., Henry, J.P.: In situ low permeability pulse test measurements. Int. J. Rock Mech. Min. Sci. 32, 357–363 (1995)

    Google Scholar 

  9. Polak, A., Elsworth, D., Yasuhara, H., Grader, A., Halleck, P.: Permeability reduction of a natural fracture under net dissolution by hydrothermal fluids. Geophys. Res. Lett. 30(20), (2020, 2003). https://doi.org/10.1029/2003GL017575

  10. Polak, A., Elsworth, D., Yasuhara, H., Grader, A.S., Halleck, P.M.: Spontaneous switching of permeability changes in a limestone fracture with net dissolution. Water Resour. Res. 40, W03502 (2004). https://doi.org/10.1029/2003WR002717

    Article  Google Scholar 

  11. Yasuhara, H., Elsworth, D., Polak, A.: Evolution of permeability in a natural fracture: the significant role of pressure solution. J. Geophys. Res. 109, B03204 (2004). https://doi.org/10.1029/2003JB002663

    Article  Google Scholar 

  12. Yasuhara, H., Kinoshita, N., Ohfuji, H., Lee, D.S., Nakashima, S., Kishida, K.: Temporal alteration of fracture permeability in granite under hydrothermal conditions and its interpretation by coupled chemo-mechanical model. Appl. Geochem. 26, 2074–2088 (2011)

    Google Scholar 

  13. Yasuhara, H., Elsworth, D.: A numerical model simulating reactive transport and evolution of fracture permeability. Int. J. Numer. Anal. Methods Geomech. 30, 1039–1062 (2006)

    Google Scholar 

  14. Rutqvist, J., Wu, Y.-S., Tsang, C.-F., Bodvasson, G.: 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, 429–442 (2002)

    Google Scholar 

  15. Suzuki, H., Nakama, S., Fujita, T., Imai, H., Sazarshi, M.: A long-term THMC assessment on the geochemical behavior of the bentonite buffer. J. Nucl Fuel Cycle Environ. 19, 39–50 (2012) (in Japanese)

  16. Nasir, O., Fall, M., Evgin, E.: A simulator for modeling of porosity and permeability changes in near field sedimentary host rocks for nuclear waste under climate changes influences. Tunn. Undergr. Space Technol. 42, 122–135 (2014)

    Google Scholar 

  17. Fall, M., Nasir, O., Nguyen, T.S.: A coupled hydro-mechanical model for simulation of gas migration in host sedimentary rocks for waste repositories. Eng. Geol. 176, 24–44 (2014)

    Google Scholar 

  18. Zhang, R., Yin, X., Winterfeld, P.H., Wu, Y.-S.: A fully coupled thermal-hydrological-chemical model for CO2 geological sequestration. J. Nat. Gas Sci. Eng. 28, 280–304 (2016)

    Google Scholar 

  19. Ogata, S., Yasuhara, H., Kinoshita, N., Cheon, D.S., Kishida, K.: Modeling of coupled thermal-hydraulic-mechanical-chemical process for predicting the evolution in permeability and reactive transport behavior within single rock fractures. Int. J. Rock Mech. Min. Sci. 107, 271–281 (2018)

  20. Wei, C.H., Zhu, W.C., Chen, S., Ranjith, P.G.: A coupled thermal-hydrological-mechanical damage model and its numerical simulations of damage evolution in APSE. Materials. 9, 841 (2016). https://doi.org/10.3390/ma9110841

    Article  Google Scholar 

  21. Li, L.C., Tang, C.A., Wang, S.Y., Yu, J.: A coupled thermo-hydrologic-mechanical damage model and associated application in a stability analysis on a rock pillar. Tunn. Undergr. Space Technol. 34, 38–53 (2013)

    Google Scholar 

  22. Wei, C.H., Zhu, W.C., Yu, Q.L., Xu, T., Jeon, S.: Numerical simulation of excavation damaged zone under coupled thermal-mechanical conditions with varying mechanical parameters. Int. J. Rock Mech. Min. Sci. 75, 169–181 (2015)

    Google Scholar 

  23. Xu, T., Zhou, G.L., Heap, J.-M., Zhu, W.C., Chen, C.F., Boud, P.: The influence of temperature on time-dependent deformation and failure in granite: a mesoscale modeling approach. Rock Mech. Rock. Eng. (2017). https://doi.org/10.1107/s00603-0.17-1228-9

  24. Poulet, T., Karrech, A., Lieb, R.K., Fisher, L., Schaubs, P.: Thermal-hydraulic-mechanical-chemical coupling with damage mechanics using ESCRIPTRT and ABAQUAS. Tectonophysics. 526–529, 124–132 (2012)

  25. Marschall, P., Giger, S., Vassiere, D.L.R., Shao, H., Leung, H., Nussbaum, C., Trick, T., Lanyon, B., Senger, R., Lisjak, A., Alcolea, A.: Hydro-mechanical evolution of the EDZ as transport path for radionuclides and gas: insights from the Mont Terri rock laboratory (Switzerland). Swiss J. Geosci. 110, 173–194 (2017)

    Google Scholar 

  26. Lang, P.S., Paluszny, A., Zimmerman, R.W.: Hydraulic sealing due to pressure solution contact zone growth in siliciclastic rock fractures. J. Geophys. Res. Solid Earth. 120, 4080–4101 (2015)

    Google Scholar 

  27. Taron, J., Elsworth, D., Min, K.B.: Numerical simulation of thermal-hydrologic-mechanical-chemical processes in deformable fractured porous media. Int. J. Rock Mech. Min. Sci. 46, 842–854 (2009)

    Google Scholar 

  28. Liu, W., Zhao, J., Nie, R., Zeng, Y., Xu, B., Sum, X.: A full coupled thermal-hydraulic-chemical model for heterogeneity rock damage and its application in predicting water inrush. Appl. Sci. 9, 2195 (2019). https://doi.org/10.3390/app9112195

  29. Fan, C., Luo, M., Li, S., Zhang, H., Yang, Z., Liu, Z.: A thermo-hydro-mechanical-chemical coupling model and its application in acid fracturing enhanced coalbed methane recovery simulation. Energies. 12, 626 (2019). https://doi.org/10.3390/en12040626

  30. Tang, C.A.: Numerical simulation on progressive failure leading to collapse and associated seismicity. Int. J. Rock Mech. Min. Sci. 34, 249–262 (1997)

    Google Scholar 

  31. Tang, C.A., Liu, H., Lee, K.K.P., Tsui, Y., Tham, L.G.: Numerical studies of the influence of microstructure on rock failure in uniaxial compression—part I: effect of heterogeneity. Int. J. Rock Mech. Min. Sci. 37, 555–569 (2000)

    Google Scholar 

  32. Zhu, W.C., Tang, C.A.: Micromechanical model for simulating the fracture process of rock. Rock Mech. Rock. Eng. 37, 25–56 (2004)

    Google Scholar 

  33. Li, G., Tang, C.A.: A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock. Int. J. Rock Mech. Min. Sci. 74, 133–150 (2015)

    Google Scholar 

  34. Liu, H.Y., Roquete, M., Kou, S.Q., Lindqvist, P.A.: Characterization of rock heterogeneity and numerical verification. Eng. Geol. 72, 89–119 (2004)

    Google Scholar 

  35. Wang, S.Y., Sloan, S.W., Scheng, D.C., Yang, S.Q., Tang, C.A.: Numerical study of failure behavior of pre-cracked rock specimens under conventional triaxial compression. Int. J. Solids Struct. 51, 1132–1148 (2014)

    Google Scholar 

  36. Weibull, W.: A statistical distribution function of wade applicability. J. Appl. Mech. 18, 293–297 (1951)

    Google Scholar 

  37. Zhu, W.C., Weu, C., Li, S., Wei, J., Zhang, M.: Numerical modeling on destress blasting in coal seam for enhancing gas drainage. Int. J. Rock Mech. Min. Sci. 59, 179–190 (2013)

    Google Scholar 

  38. Zimmerman, R.W.: Thermal conductivity of fluid-saturated rocks. J. Pet. Sci. Eng. 3, 219–227 (1989)

    Google Scholar 

  39. Hashin, Z., Shtrikman, H.: A variational approach to theory of the effective magnetic permeability of multiphase materials. J. Appl. Phys. 33, 3125–3131 (1962)

    Google Scholar 

  40. Vosteen, H.D., Schellschmidt, R.: Influence of temperature on thermal conductivity, capacity and thermal diffusivity of different types of rock. Phys. Chem. Earth. 28, 499–509 (2003)

    Google Scholar 

  41. Revil, A.: Pervasive pressure-solution transfer: a poro-visco-plastic model. Geophys. Res. Lett. 26, 255–258 (1999)

    Google Scholar 

  42. Tada, R., Silver, T.: A new mechanism for pressure solution in porous quartzose sandstone. Geochem. Cosmochim. Acta. 51, 2295–2301 (1987)

    Google Scholar 

  43. Cocks, A., Ashby, M.: Intergranular fracture during power-law creep under multiaxial stresses. Metal Sci. 14, 395–402 (1980)

    Google Scholar 

  44. COMSOL2014:COMSOL MULTIPHYSICS. Version 5.0, Available from www.comsol.com (2004)

  45. Parkhurst, DL. and Appelo, CAJ.: Description of input and examples for PHREEQC Version 3—a computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations, Online version available from. http://wwwbrr.cr.usgs.gov/projects/GWC_coupled/phreeqc/phreeqc3-html/phreeq-c3.htm

  46. Azad, V., Li, C., Verba, C., ldeker, J.H., lsgor, O.B.: A COMSOL-GEMS interface for modeling coupled reactive-transport geochemical processes. Comput. Geosci. 92, 79–89 (2016)

    Google Scholar 

  47. Coussy, O.: Poromechanics. Wiley, England (2004)

    Google Scholar 

  48. Nardi, A., Idiart, A., Trincheo, P., Vries, L.M., Molinero, J.: Interface COMSOL-PHREEQC (iCP), an efficient framework for the solution of coupled multiphysics and geochemistry. Comput. Geosci. 69, 10–21 (2014)

    Google Scholar 

  49. Japan Nuclear Cycle Development Institute, 2000: Second progress report on research and development for the geological disposal of HLW in Japan, supporting report 2 repository design and engineering technology, H12: project to establish the scientific and technical basis for HLW disposal in Japan. JNC TN1410 2000-003, IV-139-IV-160 (2000) (in Japanese)

  50. JNC (Japan Nuclear Cycle Development Institute), 2005: Development and management of the technical knowledge base for the geological disposal of HLW, Summary of the H17 project reports, Vol. 1. Scientific research of deep underground. JNC TN1400 2005-014 (2005) (in Japanese)

  51. Matsumura, S., Sirato, N. and Taki, H.: Evaluation of stability of gallery of underground facility for Horobe Underground Research Laboratory Project. The 58th Japan Society of Civil Engineering Symposium (2003) (in Japanese)

  52. Aoyagi, K., Tsusaka, K., Tokiwa, T., Kondo, K., Inagaki, D. and Kato, H.: A study of the regional stress and the stress state in the galleries of the Horonobe Underground Research Laboratory. In: Proceedings of the 6th International Symposium on In-Situ Rock Stress. Sendai. Japan. 331–338 (2013)

  53. Tachi, Y., Yothuji, K., Seida, Y., Yui, M.: Diffusion and sorption of Cs+, I− and HTO in samples of the argillaceous Wakkanai formation from the Horonobe URL, Japan: clay-based modeling approach. Geochim. Cosmochim. Acta. 75, 6742–6759 (2011)

    Google Scholar 

  54. Tester, J.W., Worley, W.G., Robinson, B.A., Grigsby, C.O., Feerer, J.L.: Correlating quartz dissolution kinetics in pure water from 25 to 625°C. Geochim. Cosmochim. Acta. 58, 2407–2420 (1994)

    Google Scholar 

  55. Helgeson, H.C., Murphy, W.M., Aagaard, P.: Thermodynamic and kinetic constraints on reaction rates among minerals and aqueous solutions. II. Rate constants, effective surface area, and the hydrolysis of feldspar. Geochim. Cosmochim. Acta. 48, 2405–2432 (1984)

    Google Scholar 

  56. Chou, L., Wollast, R.: Study of weathering of albite at room temperature and pressure with a fluidized bed reactor. Geochem. Cosmochim. Acta. 48, 2205–2217 (1984)

    Google Scholar 

  57. Hellman, R.: The albite-water system: part I. The kinetics of dissolution as a function of pH at 100, 200, and 300C. Geochim. Cosmochim. Acta. 58, 595–611 (1994)

    Google Scholar 

  58. Oelkers, E.H., Schott, J.: Experimental study of anorthite dissolution and the relative mechanism of feldspar hydrolysis. Geochim. Cosmochim. Acta. 59, 5039–5053 (1995)

    Google Scholar 

  59. Palandri, JL. and Kharaka, YK.: A compilation of rate parameters of mineral-water interaction kinetics for application to geochemical modelling. US Geological Survey open file report. 2004–1068 (2204)

  60. Miyakawa, K., Mezawa, T., Mochizuki, A. and Sasamoto, H.: Data of ground chemistry obtained in the Horonobe Underground Research Laboratory Project (Fy2014-2016). JAEA-Data/Code (2017) (in Japanese)

  61. Ota, K., Abe, H., Yamaguchi, T., Kunimaru, T., Ishi, E., Kurilami, H., Tomura, G., Shibano, K., Hma, K., Matsui H., Niizato, T., Tkahashi, K., Niunoya, S, Ohara, H., Asamori, K., Morioka, H., Shigeta, N. and Fushima, T.: Horonobe Underground Research Laboratory Project Synthesis of Phase I Investigations 2001–2005. JAEA-Research. 2007-044 (2007) (in Japanese)

  62. Yamamoto, T., Masui, H., Horiuchi, Y. and Tominaga, E.: Thermal properties on soft sedimentary rock of Horonobe Underground Research Program. The 14th Rock Mechanics Symposium in JAPAN (2005) (in Japanese)

  63. Miyazawa, D., Sanada, H., Kiyama, T., Sugita, Y., Ishijima, Y.: Proelastic coefficients for siliceous rocks distributed in the Horonobe area, Hokkaido, Japan. J. MMIJ. 127, 132–138 (2011) (in Japanese)

  64. Wang, J., Elsworth, D., Wu, Y., Liu, J., Zhu, W., Liu, Y.: The influence of fracturing processes: a comparison between water, oil and SC-CO2. Rock Mech. Rock. Eng. (2017). https://doi.org/10.1007/s00603-017-1326-8

  65. Anbeek, C.: Surface roughness of mineral sand implications for dissolution studies. Geochim. Cosmochim. Acta. 56, 1461–1469 (1992)

    Google Scholar 

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Acknowledgments

The authors would like to thank all of the anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions. The data used in this work are available from the authors upon request.

Funding

This work was supported by JSPS KAKENHI, subject nos. 18J12549 and 19H02237, and by the research grants funded by the Kajima Foundation and the Casio Science Promotion Foundation, Japan. Their support is gratefully acknowledged.

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Authors and Affiliations

  1. Osaka University, Suita, 565-0871, Japan

    Sho Ogata

  2. Ehime University, Matsuyama, 790-8577, Japan

    Hideaki Yasuhara & Naoki Kinoshita

  3. Kyoto University, Kyoto, 615-8530, Japan

    Kiyoshi Kishida

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  1. Sho Ogata
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  2. Hideaki Yasuhara
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Correspondence to Sho Ogata.

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Ogata, S., Yasuhara, H., Kinoshita, N. et al. Coupled thermal–hydraulic–mechanical–chemical modeling for permeability evolution of rocks through fracture generation and subsequent sealing. Comput Geosci 24, 1845–1864 (2020). https://doi.org/10.1007/s10596-020-09948-3

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