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Changes in surface roughness of sandstone after heating and cooling cycles

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Abstract

The surface roughness of rock directly affects its strength, deformation, and seepage characteristics. Understanding the change of rock surface roughness under the heating and cooling cycles is of great significance for evaluating the damage degree of rock and effectively predicting the instability of rock mass. In this paper, using grayish yellow sandstone as an example, we study the variation in the surface roughness of sandstone after different heating and cooling cycles by the arithmetical mean deviation of the profile (Ra) and the fractal dimension (D). The results show that the surface roughness of sandstone increases with the increase of temperature and cycles after heating and cooling; at above 500 °C, the thermal damage increased significantly due to the expansion and cracking of quartz particles, and the cycle causes the damage to accumulate, which further weakens the adhesion between particles, resulting in a significant increase in Ra and D value after 6 cycles; when the damage accumulates to a certain extent, some minerals fall off from the surface of sandstone, resulting in the decrease of Ra and D value. We also found that there is a correlation between Ra and the D value; that is, Ra increases exponentially with increases in the D value. The research results of this paper are of great significance to the rock mass engineering under the condition of heating and cooling cycles and can be used to monitor the stability of rock mass.

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References

  • Andrade PS, Saraiva AA (2008) Estimating the joint roughness coefficient of discontinuities found in metamorphic rocks. Bull Eng Geol Environ 67(3):425–434

    Article  Google Scholar 

  • Babanouri N, Karimi S, Sarafrazi, Soroor (2013) A hybrid particle swarm optimization and multi-layer perceptron algorithm for bivariate fractal analysis of rock fractures roughness. Int J Rock Mech Min Sci 60(60):66–74

    Article  Google Scholar 

  • Barla G (2016) Comprehensive study including testing, monitoring and thermo-hydro modelling for design and implementation of a geothermal system in Torino (Italy). Geomech Geophys Geo-Energy Geo-Resour 3:1–14

    Google Scholar 

  • Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10(1–2):1–54

    Article  Google Scholar 

  • Belem T, Homand-Etienne F, Souley M (1997) Fractal analysis of shear joint roughness. Int J Rock Mech Min Sci 34(3):395–398

    Article  Google Scholar 

  • Breede K, Dzebisashvili K, Liu X, Falcone G (2013) A systematic review of enhanced (or engineered) geothermal systems: past, present and future. Geotherm Energy Sci 1(1):4

    Article  Google Scholar 

  • Cao O, Luo L, Liu TY, Zhang K (2011) Analysis of the fractal and sample size effects of the rock joint surface roughness. Sci Technol Rev 29(24):57–61

    Google Scholar 

  • Cervenka J, Chandra Kishen JM, Saouma V (1998) Mixed mode fracture of cementitious bimaterial interfaces; part II: numerical simulation. Eng Fract Mech 60(1):95–107

    Article  Google Scholar 

  • Clarke KC (1986) Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method. Comput Geosci 12(5):713–722

    Article  Google Scholar 

  • Dong Z, Sun Q, Ranjith PG (2019) Surface properties of grayish-yellow sandstone after thermal shock. Environ Earth Sci 78(14):420

    Article  Google Scholar 

  • Du SG, Chen Y, Fan LB (1996) Mathematical expression of JRC modified straight-edge method. J Eng Geol 4(2):36–43

    Google Scholar 

  • Frédérique B, Lopez J (2000) Watershed lines and catchment basins: a new 3D-motif method. Int J Mach Tools Manuf 40(8):1171–1184

    Article  Google Scholar 

  • Ge YF, Tang HM, Wang LQ (2016) Anisotropy, scale and interval effects of natural rock discontinuity surface roughness. Chin J Geotech Eng 38(1):170–179

    Google Scholar 

  • Grasselli G, Egger P (2003) Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters. Int J Rock Mech Min 40(1):25–40

    Article  Google Scholar 

  • Hartlieb P, Toifl M, Kuchar F, Meisels R, Antretter T (2015) Thermo-physical properties of selected hard rocks and their relation to microwave-assisted comminution. Miner Eng 91:34–41

    Article  Google Scholar 

  • Heaney PJ (1994) Structure and chemistry of the low-pressure silica polymorphs. Rev Mineral Geochem 29(1):1–40

    Google Scholar 

  • Heard HC, Page L (1982) Elastic moduli, thermal expansion, and inferred permeability of two granites to 350 °C and 55 megapascals. J Geophys Res Solid Earth 87(B11):9340–9348

    Article  Google Scholar 

  • Hetherington J, Thambimuthu K (2003) In-situ gasification, enhanced methane recovery and CO2 storage in deep coal seams. Greenh Gas Control Technol-6th Int Conference. Pergamon 1:709–716

  • Kulatilake PHSW, Fellow AJU, Panda BB, Nghiem N (1999) Development of new peak shear strength criterion for anisotropic rock joints. Int J Rock Mech Min Sci 125(9):1010–1017

    Google Scholar 

  • Lee YH, Carr JR, Barr DJ, Haas CJ (1990) The fractal dimension as a measure of the roughness of rock discontinuity profiles. Int J Rock Mech Min Sci Geomech Abstr 27(6):453–464

    Article  Google Scholar 

  • Moss GW (1999) Mathematical models of the alpha-beta phase transition of quartz. Dissertation. Virginia Polytech, I state U, Blacksburg, Virginia, USA

  • Nasseri MHB, Tatone BSA, Grasselli G, Young RP (2009) Fracture toughness and fracture roughness interrelationship in thermally treated westerly granite. Pure Appl Geophys 166(5–7):801–822

    Article  Google Scholar 

  • Navrotsky A (1994) Thermochemistry of crystalline and amorphous silica. Rev Mineral Geochem 29(1):309–329

    Google Scholar 

  • Nowicki B (1985) Multiparameter representation of surface roughness. Wear 102(3):161–176

    Article  Google Scholar 

  • Ohno I (1995) Temperature variation of elastic constants of quartz across the α-β transition. Earth Planets Space 43(2):157–169

    Google Scholar 

  • Somerton WH, Boozer GD (1960) Thermal characteristics of porous rocks at elevated temperatures. J Pet Technol 12(06):418–422

    Article  Google Scholar 

  • Takarli M, Prince W, Siddique R (2008) Damage in granite under heating/cooling cycles and water freeze–thaw condition. Int J Rock Mech Min Sci 45(7):1164–1175

    Article  Google Scholar 

  • Takeda M, Zhang M, Watanabe Y, Taneko N (2009) Applicability of analytical models to single-well permeability tests in deep and hydraulically tight geological formations. J Hydrol Eng 14(11):1200–1207

    Article  Google Scholar 

  • Tatone BSA, Grasselli G (2013) An investigation of discontinuity roughness scale dependency using high-resolution surface measurements. Rock Mech Rock Eng 46(4):657–681

    Article  Google Scholar 

  • Tester JW, Anderson BJ, Batchelor AS, Blackwell DD, DiPippo R, Drake EM, Garnish J, Livesay B, Moore MC, Nichols K (2007) impact of enhanced geothermal systems on US energy supply in the twenty-first century. Philos Trans R Soc Lond A 365(1853):1057–1094

    Article  Google Scholar 

  • Wang JN, Xie P (1997) Fractal evolution of surface roughness and mechanical behavior of rock joints under shearing. China J Geotech Eng 19(4):2–9

    Google Scholar 

  • Xia CC (1996) A study on the surface morphological feathers of rock structural faces. J Eng Geol 4(3):71–78

    Google Scholar 

  • Xie HP, Wang JA, Xie WH (1997) Fractal effects of surface roughness on the mechanical behavior of rock joints. Chaos, Solitons Fractals 8(2):221–252

    Article  Google Scholar 

  • Yi C, Zhang L, Chen ZH, Xie P (2007) A novel description of roughness surface with a modified fractal index Rd. J China Univ Min Technol 36(1):75–80

    Google Scholar 

  • Zarichyak YP, Ramazanova AE, Emirov SN (2013) Contribution of thermal radiation in measurements of thermal conductivity of sandstone. Phys Solid State 55(12):2436–2441

    Article  Google Scholar 

  • Zhou HW, Xie P, Kwasniewski MA (2000) Fractal dimension of rough surface estimated by the cubic covering method. J Tribol 20(6):455–459

    Google Scholar 

  • Zhu D, Jing H, Yin Q, Han G (2018) Experimental study on the damage of granite by acoustic emission after cyclic heating and cooling with circulating water. Processes 6(10):1–20

    Google Scholar 

Download references

Funding

This research was supported by the National Natural Science Foundation of China (Grant No. 41672279, 41972288).

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Correspondence to Zhenlong Ge.

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Responsible Editor: Zeynal Abiddin Erguler

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Ge, Z., Sun, Q. & Zhang, N. Changes in surface roughness of sandstone after heating and cooling cycles. Arab J Geosci 13, 315 (2020). https://doi.org/10.1007/s12517-020-05295-w

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  • DOI: https://doi.org/10.1007/s12517-020-05295-w

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