Skip to main content
Log in

Study on the Mechanism of Rock Damage Under Microwave and Laser Irradiation Through Multiscale and Multiphysics Numerical Modelling

  • Original Paper
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

High-energy microwaves and lasers are applied to assist mechanical rock breaking due to their advantages in rapid thermal damage to hard rocks. However, the quantitative evaluation of rock damage under microwave and laser irradiation has always been a difficult problem. In this study, a multiscale and multiphysics numerical modelling approach is developed to quantitatively describe rock thermal damage under microwave and laser irradiation. By coupling the concept of the grain-based model (GBM), electromagnetic-thermal solution of COMSOL, and thermo-mechanical fracture simulation of the four-dimensional lattice spring model (4D-LSM), a fine-grained multiphysics numerical model is developed to quantitatively investigate rock damage during muffle furnace heating and microwave heating. Through a full comparison between the fine-grained numerical simulations and experimental results, we concluded that the rock thermal damage functions of these two heating methods are dominantly influenced by the meso-structure and mineral composition of the rock rather than the temperature gradient. Moreover, the limitation of temperature measurement is the most likely reason for the experimentally observed difference in rock thermal damage between muffle furnace heating and microwave heating. For a coarse-grained multiphysics numerical model for larger scale analysis, the influences of meso-structure and mineral composition on the rock thermal damage can be considered by introducing thermal damage functions. Our numerical study indicates that rock thermal damage functions obtained by using experimental data from muffle furnace heating can be used for microwave or laser irradiation, and a calibration method using a weight function with a single correction coefficient is developed to further address the difference in experimental conditions, the change in simulated scale, and the discreteness of used experimental data. Our coarse-grained multiphysics numerical model with thermal damage functions calibrated by data from a single experiment is verified to be able to quantitatively predict the experimentally observed microwave-induced and laser-induced rock damage. This study provides the possibility and methodology to reuse experimental data for rock thermal damage by muffle furnace heating in the analysis of rock damage under microwave and laser irradiation.

Highlights

  • Rock thermal damage during muffle furnace heating and microwave heating is quantitatively investigated by using a fine-grained multiphysics numerical model.

  • The limitation of temperature measurement is the most likely reason for the experimentally observed difference in rock thermal damage between muffle furnace heating and microwave heating.

  • A calibration method using a weight function with a single correction coefficient is developed to obtain thermal damage functions for microwave or laser irradiation from thermal damage functions for muffle furnace heating.

  • A coarse-grained multiphysics numerical model with thermal damage functions calibrated by data from a single experiment is verified to be able to quantitatively predict experimentally observed rock thermal damage under microwave and laser irradiation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

Data availability

The data that support the findings of this study are available on request from the corresponding author.

References

  • Bauer SJ, Johnson B (1979) Effects of slow uniform heating on the Westerly and charcoal granites. In: Proceedings of the 20th symposium on rock mechanics, Austin, TX. New York: ASCE; p. 7–18

  • Bergman MS (1980) Nuclear waste disposal. Subsurf Space 2:791–1005

    Google Scholar 

  • Cai YY, Luo CH, Yu J, Zhang LM (2015) Experimental study on mechanical properties of thermal-damage granite rock under triaxial unloading confining pressure. Chin J Geotech Eng 37(7):1173–1180

    Google Scholar 

  • Chen YL, Ni J, Shao W, Azzam R (2012) Experimental study on the influence of temperature on the mechanical properties of granite under uni-axial compression and fatigue loading. Int J Rock Mech Min Sci 56:62–66

    Google Scholar 

  • Chen T, Zheng X, Qiu X, Feng XT, Elsworth D, Cui G, Jia Z, Pan Z (2021a) Experimental study on the feasibility of microwave heating fracturing for enhanced shale gas recovery. J Nat Gas Sci Eng 94:104073

    Google Scholar 

  • Chen T, Xiong W, Cui G, Yu H, Elsworth D, Shi B, Feng X, Pan Z (2021b) An effective dual-medium approach to simulate microwave heating in strongly heterogeneous rocks. Geomech Geophys Geo-Energy Geo-Resour 7:1–22

    Google Scholar 

  • Cheng ST (2020) Study on the influence of heating method on thermal induced damage of granite. Beijing University of Technology. Professional Master Thesis.

  • Deyab SM, Rafezi H, Hassani F, Kermani M, Sasmito AP (2021) Experimental investigation on the effects of microwave irradiation on kimberlite and granite rocks. J Rock Mech Geotech Eng 13(2):267–274

    Google Scholar 

  • Du SJ, Liu H, Zhi HT, Chen HH (2004) Testing study on mechanical properties of post-high-temperature granite. Chin J Rock Mech Eng 23(14):2359–2364

    Google Scholar 

  • Erfan MR, Shahriar K, Sharifzadeh M, Ahmadi M, Torkamany MJ (2017) Moving perforation of rocks using long pulse Nd:YAG laser. Opt Lasers Eng 94:12–16

    Google Scholar 

  • Fan L, Li H, Xi Y (2022) Evaluation of the effects of three different cooling methods on the dynamic mechanical properties of thermal-treated sandstone. Bull Eng Geol Environ 81(4):154

    Google Scholar 

  • Gautam PK, Verma AK, Jha MK, Sharma P, Singh TN (2018) Effect of high temperature on physical and mechanical properties of Jalore granite. J Appl Geophys 159:460–474

    Google Scholar 

  • Gautam PK, Dwivedi R, Kumar A, Kumar A, Verma AK, Singh KH, Singh TN (2021) Damage characteristics of Jalore granitic rocks after thermal cycling effect for nuclear waste repository. Rock Mech Rock Eng 54(1):235–254

    ADS  Google Scholar 

  • Ge Z, Sun Q (2021) Acoustic emission characteristics of gabbro after microwave heating. Int J Rock Mech Min Sci 138:104616

    Google Scholar 

  • Hartlieb P, Leindl M, Kuchar F, Antretter T, Moser P (2012) Damage of basalt induced by microwave irradiation. Miner Eng 31:82–89

    CAS  Google Scholar 

  • Hartlieb P, Kuchar F, Moser P, Kargl H, Restner U (2018) Reaction of different rock types to low-power (3.2 kW) microwave irradiation in a multimode cavity. Miner Eng 118:37–51

    CAS  Google Scholar 

  • Heard HC (1980) Thermal expansion and inferred permeability of climax quartz monzonite to 300°C and 27.6 MPa. Int J Rock Mech Min Sci Geomech Abstr 17:289–296

    Google Scholar 

  • Homand-Etienne F, Houpert R (1989) Thermally induced microcracking in granites: characterization and analysis. Int J Rock Mech Min Sci Geomech Abstr 26(2):125–134

    Google Scholar 

  • Hu SH, Zhang G, Zhang M, Jiang XL, Chen YF (2016) Deformation characteristics tests and damage mechanics analysis of Beishan granite after thermal treatment. Rock Soil Mech 37(12):3427–3436

    Google Scholar 

  • Huang YH, Yang SQ, Tian WL, Zhao J, Ma D, Zhang CS (2017) Physical and mechanical behavior of granite containing pre-existing holes after high temperature treatment. Arch Civ Mech Eng 17(4):912–925

    Google Scholar 

  • Jamali S, Wittig V, Börner J, Bracke R, Ostendorf A (2019) Application of high powered Laser technology to alter hard rock properties towards lower strength materials for more efficient drilling, mining, and geothermal energy production. Geomech Energy Environ 20:100112

    Google Scholar 

  • Jin P, Hu Y, Shao J, Zhao G, Zhu X, Li C (2019) Influence of different thermal cycling treatments on the physical, mechanical and transport properties of granite. Geothermics 78:118–128

    ADS  Google Scholar 

  • Kumari WGP, Ranjith PG, Perera MSA, Chen BK, Abdulagatov IM (2017) Temperature-dependent mechanical behaviour of Australian strathbogie granite with different cooling treatments. Eng Geol 229:31–44

    Google Scholar 

  • Li EB, Wang YC, Chen L, Liu Y, Tan YH, Duan JL, Pu SK, Wang J (2018) Experimental study of mechanical properties of Beishan granite’s thermal damage. J China Univ Min Technol 47:735–741

    Google Scholar 

  • Li M, Han B, Zhang Q, Zhang S, He Q (2019) Investigation on rock breaking for sandstone with high power density laser beam. Optik 180:635–647

    CAS  ADS  Google Scholar 

  • Liu S, Xu J (2015) An experimental study on the physico-mechanical properties of two post-high-temperature rocks. Eng Geol 185:63–70

    Google Scholar 

  • Lu GM, Li YH, Hassani F, Zhang X (2017) The influence of microwave irradiation on thermal properties of main rock-forming minerals. Appl Therm Eng 112:1523–1532

    CAS  ADS  Google Scholar 

  • Lu GM, Feng XT, Li YH, Hassani F, Zhang X (2019) Experimental investigation on the effects of microwave treatment on basalt heating, mechanical strength, and fragmentation. Rock Mech Rock Eng 52(8):2535–2549

    ADS  Google Scholar 

  • COMSOL Multiphysics (2021) Reference Manual, Version 5.6. COMSOL, Inc. www.comsol.com.

  • Nagaraja Rao GM, Murthy CRL (2001) Dual role of microcracks: toughening and degradation. Can Geotech J 38(2):427–440

    Google Scholar 

  • Omran M, Fabritius T, Mattila R (2015) Thermally assisted liberation of high phosphorus oolitic iron ore: a comparison between microwave and conventional furnaces. Powder Technol 269:7–14

    CAS  Google Scholar 

  • Peinsitt T, Kuchar F, Hartlieb P, Moser P, Kargl H, Restner U, Sifferlinger NA (2010) Microwave heating of dry and water saturated basalt, granite and sandstone. Int J Min Miner Eng 2(1):18–29

    Google Scholar 

  • Qiu YP, Lin ZY (2006) Testing study on damage of granite samples after high temperature. Rock Soil Mech 27(6):1005–1010

    Google Scholar 

  • Rui F, Zhao GF (2021) Experimental and numerical investigation of laser-induced rock damage and the implications for laser-assisted rock cutting. Int J Rock Mech Min Sci 139:104653

    Google Scholar 

  • Rui F, Zhao GF (2022) Development of the four-dimensional lattice spring model for thermo-mechanical fracturing and large deformation of solids. Eng Anal Bound Elem 138:390–406

    MathSciNet  Google Scholar 

  • Shao S, Ranjith PG, Wasantha PLP, Chen BK (2015) Experimental and numerical studies on the mechanical behaviour of Australian Strathbogie granite at high temperatures: an application to geothermal energy. Geothermics 54:96–108

    ADS  Google Scholar 

  • Shi X, Duan Y, Han B, Zhao J (2020) Enhanced rock breakage by pulsed laser induced cavitation bubbles: preliminary experimental observations and conclusions. Geomech Geophys Geo-Energy Geo-Resour 6(1):25

    Google Scholar 

  • Sunnetci MO, Ersoy H (2023) A new perspective based on overcoming sample heterogeneity for the estimation of thermal damage inflicted on volcanic rocks using non-destructive tests. Rock Mech Rock Eng 56(1):35–56

    ADS  Google Scholar 

  • Tullis J, Yund RA (1977) Experimental deformation of dry Westerly granite. J Geophys Res 82:5705–5718

    ADS  Google Scholar 

  • Wang F, Konietzky H (2022) Thermal cracking in granite during a heating–cooling cycle up to 1000 °c: laboratory testing and real-time simulation. Rock Mech Rock Eng 55(3):1411–1428

    ADS  Google Scholar 

  • Wang Y, Jiang J, Darkwa J, Xu Z, Zheng X, Zhou G (2020) Experimental study of thermal fracturing of hot dry rock irradiated by moving laser beam: temperature, efficiency and porosity. Renew Energy 160:803–816

    Google Scholar 

  • Wu Q, Weng L, Zhao Y, Guo B, Luo T (2019) On the tensile mechanical characteristics of fine-grained granite after heating/cooling treatments with different cooling rates. Eng Geol 253:94–110

    Google Scholar 

  • Xu XL, Karakus M (2018) A coupled thermo-mechanical damage model for granite. Int J Rock Mech Min Sci 103:195–204

    Google Scholar 

  • Xu XL, Zhang ZZ (2018) Acoustic emission and damage characteristics of granite subjected to high temperature. Adv Mater Sci Eng 2018:8149870

    Google Scholar 

  • Xu XL, Gao F, Zhang ZZ, Chen L (2015) Experimental study of the effect of loading rates on mechanical properties of granite at real-time high temperature. Rock Soil Mech 36(8):2184–2192

    Google Scholar 

  • Yan ZG, Zhu HH, Deng T, Zeng LJ, Yao J, Qiang J (2006) Experimental study on longitudinal wave characteristics of tuff, granite and breccia after high temperature. Chin J Geotech Eng 28(11):2010–2014

    Google Scholar 

  • Yan F, Gu Y, Wang Y, Wang C, Hu X, Peng H, Yao Z, Wang Z, Shen Y (2013) Study on the interaction mechanism between laser and rock during perforation. Opt Laser Technol 54:303–308

    CAS  ADS  Google Scholar 

  • 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

    ADS  Google Scholar 

  • Yin T, Li X, Cao W, Xia K (2015) Effects of thermal treatment on tensile strength of Laurentian granite using Brazilian test. Rock Mech Rock Eng 48(6):2213–2223

    ADS  Google Scholar 

  • Yin TB, Shu RH, Li XB, Wang P, Liu XL (2016) Comparison of mechanical properties in high temperature and thermal treatment granite. Trans Nonferrous Met Soc China 26(7):1926–1937

    Google Scholar 

  • Yin T, Bai L, Li X, Li X, Zhang S (2018) Effect of thermal treatment on the mode I fracture toughness of granite under dynamic and static coupling load. Eng Fract Mech 199:143–158

    Google Scholar 

  • Zeng J, Hu Q, Chen Y, Shu X, Chen S, He L, Tang H, Lu X (2019) Experimental investigation on structural evolution of granite at high temperature induced by microwave irradiation. Mineral Petrol 113(6):745–754

    CAS  ADS  Google Scholar 

  • Zhang J, Chen X, Kang H (2017) Experimental investigation of mechanical properties and energy features of granite after heat treatment under different loading paths. Teh Vjesn 24(6):1841–1851

    Google Scholar 

  • Zhang Y, Zhao GF, Li Q (2020) Acoustic emission uncovers thermal damage evolution of rock. Int J Rock Mech Min Sci 132:104388

    Google Scholar 

  • Zhang Y, Zhao GF, Wei X, Li H (2021a) A multifrequency ultrasonic approach to extracting static modulus and damage characteristics of rock. Int J Rock Mech Min Sci 148:104925

    Google Scholar 

  • Zhang Y, Wu B, Zhao G (2021b) Study on thermal damage evolution of rock based on acoustic emission. J Cent South Univ 52(8):2945–2958

    Google Scholar 

  • Zhang Y, Sun Q, Ge Z, Rui F, Li J (2022) Combined effects of microwave irradiation and water cooling on the deformation and failure behaviours of CSTBD granite. Eng Fract Mech 275:108848

    Google Scholar 

  • Zhao GF (2017) Developing a four-dimensional lattice spring model for mechanical responses of solids. Comput Meth Appl Mech Eng 315:881–895

    MathSciNet  Google Scholar 

  • Zhao GF, Deng ZQ, Zhang B (2019) Multibody failure criterion for the four-dimensional lattice spring model. Int J Rock Mech Min Sci 123:104126

    Google Scholar 

  • Zhao F, Shi Z, Sun Q (2021) Fracture mechanics behavior of jointed granite exposed to high temperatures. Rock Mech Rock Eng 54(5):2183–2196

    ADS  Google Scholar 

  • Zhao XB, Zhao QH, Gong QM, He JL (2022) Preliminary study on the weakening effect of microwave irradiation on Singapore Bukit Timah granite and its influence on mechanical excavation performance. Geomech Geophys Geo-Energy Geo-Resour 8(4):110

    Google Scholar 

  • Zheng YL, Zhang QB, Zhao J (2017) Effect of microwave treatment on thermal and ultrasonic properties of gabbro. Appl Therm Eng 127:359–369

    ADS  Google Scholar 

  • Zheng YL, Zhao XB, Zhao QH, Li JC, Zhang QB (2020) Dielectric properties of hard rock minerals and implications for microwave-assisted rock fracturing. Geomech Geophys Geo-Energy Geo-Resour 6(1):22

    Google Scholar 

  • Zheng YL, Ma ZJ, Yang SQ, Zhao XB, He L, Li JC (2021) A microwave fracturability index (MFI) of hard igneous rocks. Int J Rock Mech Min Sci 138:104566

    Google Scholar 

  • Zhi LP, Xu JY, Liu ZQ, Liu S, Chen TF (2012) Research on ultrasonic characteristics and Brazilian splitting-tensile test of granite under post-high temperature. Rock Soil Mech 33(s1):61–66

    Google Scholar 

  • Zhu Z, Kempka T, Ranjith PG, Tian H, Jiang G, Dou B, Mei G (2021) Changes in thermomechanical properties due to air and water cooling of hot dry granite rocks under unconfined compression. Renew Energy 170:562–573

    Google Scholar 

Download references

Acknowledgements

This research is funded by the National Natural Science Foundation of China (Grant No. 51979187).

Author information

Authors and Affiliations

Authors

Contributions

Fuxin Rui: methodology, numerical modelling, validation, formal analysis, data processing, visualization, writing-original draft, writing-review and editing. Gao-Feng Zhao: supervision, project administration, funding acquisition, software, methodology, writing-review and editing. Yuliang Zhang: numerical modelling, code, writing-review and editing. Lifeng Fan: experimental data, supervision, writing-review and editing. Xiaobao Zhao: experimental data, supervision, writing-review and editing.

Corresponding author

Correspondence to Gao-Feng Zhao.

Ethics declarations

Conflict of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rui, F., Zhao, GF., Zhang, Y. et al. Study on the Mechanism of Rock Damage Under Microwave and Laser Irradiation Through Multiscale and Multiphysics Numerical Modelling. Rock Mech Rock Eng 57, 1079–1102 (2024). https://doi.org/10.1007/s00603-023-03608-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-023-03608-5

Keywords

Navigation