Non-monotonic evolution and spatial reorganization mechanism of thermally induced micro-damage in sandstone
Abstract
This study employs transformative nanoscale-spatial methodology, which reveals the complete thermal damage evolution mechanism of sandstone from 25 to 700 ◦C, fundamentally challenging the conventional linear degradation paradigm. Spatial autocorrelation analysis is innovatively applied to atomic force microscopy data, establishing that thermal damage follows a non-monotonic pathway governed by spatial heterogeneity evolution rather than simple progressive weakening. Four critical temperature thresholds are identified: 200 ◦C marks the initiation of localized damage through expansion of weak zones with 61.4% stiffness reduction; 400 ◦C features unexpected transient hardening due to clay mineral dehydroxylation and pore restructuring, reaching the peak adhesion force; 500 ◦C represents not only increased damage but also the thermal decomposition of the 400 ◦C hardened structure, evidenced by maximum spatial heterogeneity and negative adhesion; and the 700 ◦C following quartz phase transition establishes a completely reconfigured structure with a novel "harder-in-lower-areas" pattern. Crucially, this research demonstrates that the spatial clustering of mechanical properties evolves from balanced high-low zones at 200 ◦C to a percolating low-stiffness network at 500 ◦C, establishing spatial reorganization as the governing principle of thermal damage. The findings provide a quantitative framework that can accurately predict rock behavior in geothermal systems and underground energy storage applications.
Document Type: Original article
Cited as: Yan, H., Zhou, T., Zhou, X., Liu, X., Tang, X. Non-monotonic evolution and spatial reorganization mechanism of thermally induced micro-damage in sandstone. Advances in Geo-Energy Research, 2025, 17(2): 135-148. https://doi.org/10.46690/ager.2025.08.05
Keywords:
Sandstone, thermal treatment, heterogeneity, atomic force microscopy, spatial autocorrelation analysisReferences
Alcock, T., Bullen, D., Benson, P. M., et al. Temperature-driven micro-fracturing in granite: The interplay between microstructure, mineralogy and tensile strength. Heliyon, 2023, 9(3): e13871.
Anderson, A., Rezaie, B. Geothermal technology: Trends and potential role in a sustainable future. Applied Energy, 2019, 248: 18-34.
Anselin, L. Local indicators of spatial association-lisa. Geographical Analysis, 1995, 27(2): 93-115.
Barrett, E. P., Joyner, L. G., Halenda, P. P. The determination of pore volume and area distributions in porous substances. I. Computations from nitrogen isotherms. Journal of the American Chemical Society, 1951, 73(1): 373-380.
Chen, X, Tang, X, Zhang, R, et al. Changes in shale microstructure and fluid flow under high temperature: Experimental analysis and fluid-structure interaction simulation. Petroleum Science, 2025, 22(4): 1699-1711.
Chen, Y., Yu, Q., Zhu, Q. Experimental investigation and micromechanics-based damage modeling of the stress relaxation mechanical properties in gray sandstone. Computers and Geotechnics, 2022, 149: 104829.
Cliff, A. D., Ord, J. K. Spatial Autocorrelation. London, UK, Pion, 1973.
David, C., Wong, T., Zhu, W., et al. Laboratory measurement of compaction-induced permeability change in porous rocks: Implications for the generation and maintenance of pore pressure excess in the crust. Pure and Applied Geophysics, 1994, 143(1): 425-456.
Derjaguin, B. V., Muller, V. M., Toporov, Y. P. Effect of contact deformations on the adhesion of particles. Journal of Colloid and Interface Science, 1975, 53(2): 314-326.
Dubinin, M. M., Radushkevich, L. V. Equation of the characteristic curve of activated charcoal. Proceedings of the Academy of Sciences of the USSR, Physical Chemistry Section, 1947, 55: 331-333.
Gao, M., Yang, M., Lu, Y., et al. Mechanical characterization of uniaxial compression associated with lamination angles in shale. Advances Geo-Energy Research 2024: 13(1): 56-68.
Gauss, C. F. Disquisitiones Generales Circa Superficies Curvas. Göttingen, Germany, Dieterich, 1828.
Gautam, P. K., Verma, A. K., Singh, T. N., et al. Experimental investigations on the thermal properties of jalore granitic rocks for nuclear waste repository. Thermochimica Acta, 2019, 681: 178381.
Giergiel, M., Zapotoczny, B., Czyzynska-Cichon, I., et al. AFM image analysis of porous structures by means of neural networks. Biomedical Signal Processing and Control, 2022, 71: 103097.
Glover, P., Baud, P., Darot, M., et al. α/β phase transition in quartz monitored using acoustic emissions. Geophysical Journal International, 1995, 120(3): 775-782.
Gómez-Heras, M., Smith, B. J., Fort, R. Surface temperature differences between minerals in crystalline rocks: Implications for granular disaggregation of granites through thermal fatigue. Geomorphology, 2006, 78(3-4): 236-249.
Guggenheim, S., Martin, R. T. Definition of clay and clay mineral: Joint report of the AIPEA nomenclature and CMS nomenclature committees. Clays and Clay Minerals, 1995, 43(2): 255-256.
Guo, P., Bu, M., Zhang, P., et al. Mechanical properties and crack propagation behavior of granite after high temperature treatment based on a thermo-mechanical grain-based model. Rock Mechanics and Rock Engineering, 2023, 56(9): 6411-6435.
Hall, K. The role of thermal stress fatigue in the breakdown of rock in cold regions. Geomorphology, 1999, 31(1-4): 47-63.
Haralick, R. M., Sternberg, S. R., Zhuang, X. Image analysis using mathematical morphology. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1987, PAMI9(4): 532-550.
He, F., Li, G., Kan, J., et al. Research progress on multi-scale damage of rock. Coal Science and Technology, 2024, 52(10): 33-53. (in Chinese)
Hirono, T., Lin, W., Nakashima, S. Pore space visualization of rocks using an atomic force microscope. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(2): 317-320.
Kranz, R. L. Microcracks in rocks: A review. Tectonophysics, 1983, 100(1-3): 449-480.
Li, Y., Yang, J., Pan, Z., et al. Nanoscale pore structure and mechanical property analysis of coal: An insight combining AFM and SEM images. Fuel, 2019, 260: 116352.
Mahanta, B., Vishal, V., Ranjith, P., et al. An insight into pore-network models of high-temperature heat-treated sandstones using computed tomography. Journal of Natural Gas Science and Engineering, 2020, 77: 103227.
Mo, C., Zhao, J., Zhang, D. Real-time measurement of mechanical behavior of granite during heating-cooling cycle: A mineralogical perspective. Rock Mechanics and Rock Engineering, 2022, 55(7): 4403-4422.
Moran, P. A. P. Notes on continuous stochastic phenomena. Biometrika, 1950, 37(1-2): 17-23.
Paruchuri, A., Wang, Y., Gu, X., et al. Machine learning for analyzing atomic force microscopy (AFM) images generated from polymer blends. Digital Discovery, 2024, 3(12): 2533-2550.
Rodriguez-Navarro, C., Ruiz-Agudo, E., Luque, A., et al. Thermal decomposition of calcite: Mechanisms of formation and textural evolution of CaO nanocrystals. American Mineralogist, 2009, 94(4): 578-593.
Shen, M., Zhao, Y., Bi, J., et al. Micro-damage evolution and macro-mechanical property of preloaded sandstone subjected to high-temperature treatment based on NMR technique. Construction and Building Materials, 2023, 369: 130638.
Tian, X., Song, D., He, X., et al. A systematic review on the applications of atomic force microscopy for coal and rock characterization. Measurement, 2024, 232: 114722.
Vigroux, M., Eslami, J., Beaucour, A. L., et al. High temperature behaviour of various natural building stones. Construction and Building Materials, 2021, 272: 121629.
Wang, K., Du, G., Wang, G., et al. Using atomic force microscopy to study the morphological characteristics of clay minerals in dense sandstone reservoirs. Rock and Mineral Analysis, 2025, 44(2): 245-253. (in Chinese)
Wong, L. N. Y., Zhang, Y., Wu, Z. Rock strengthening or weakening upon heating in the mild temperature range? Engineering Geology, 2020, 272: 105619.
Wu, C., Zhu, H., Ju, Y., et al. CO₂ phase fluctuation-induced topological damage enhances shale strength. International Journal of Rock Mechanics and Mining Sciences, 2025, 194: 1365-1609.
Xie, H., Li, X. Microstructure and nanomechanical characterization of tectonic coal based on SEM, AFM, XRD and DSI. Surfaces and Interfaces, 2024, 46: 104158.
Zhang, W., Sun, Q., Hao, S., et al. Experimental study on the variation of physical and mechanical properties of rock after high temperature treatment. Applied Thermal Engineering, 2016, 98: 1297-1304.
Zhou, T., Yan, H., Zhou, X., et al. Temperature’s impact on high-overmature shale’s mechanical properties: Atomic force microscopy study. SPE Journal, 2025, 30(3): 10901104.
Zhu, H., Lu, Y., Pan, Y., et al. Nanoscale mineralogy and organic structure characterization of shales: Insights via afm-ir spectroscopy. Advances in Geo-Energy Research, 2024, 13(3): 231-236.
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