Experimental and numerical modeling of deformation-cracking mechanics of 3D-printed rock samples with single fracture

Abstract

The analysis of mechanical response and deformation-cracking behavior contributes to the high-efficiency extraction of geo-energy and long-term safety of underground engineering structures. Compared to natural cores, the mechanical properties of 3D-printed samples made from quartz sand as raw material are relatively homogeneous, and can be used for quantitative studies on the influence of natural defects on the mechanical properties of rocks. In this work, 3D-printed samples with single fractures of different crack angles, lengths and widths were fabricated and used for uniaxial compression tests. Adopting the digital image correlation method, the stress-strain distribution during uniaxial compression tests were visualized, and the influence of prefabricated fracture characteristics (dip angle, length, and width) on the deformation-failure process were studied. An extended finite element method subroutine for ABAQUS® software was modeled and used for the uniaxial compression simulation, which was validated by experiments. Then, the influence of mechanical parameters (Young’s modulus, Poisson’s ratio, cohesion, and internal friction angle) on the deformation-cracking mechanics were simulated and studied. The results indicate that, compared to the intact sample, fractures reduce the sample strength. With the extension of fracture length and width, or the decline of fracture angle, both the peak strain and strength of the 3D-printed samples decrease. The splitting tensile failure, or shear failure, or both were determined for the 3D-printed samples with different fracture angles. For the same axial strain, the extension length of the new crack increases linearly with rising Young’s modulus and decreases linearly with increasing Poisson’s ratio. The initial strain of new cracks decreases linearly with increasing Young’s modulus, while little variations are found in samples with different Poisson’s ratio. For the same axial displacement load, the peak stress increases linearly with growing internal friction angle and cohesion.

Document Type: Original article

Cited as: Song, R., Tian, J., Wu, M., Liu, J. Experimental and numerical modeling of deformation-cracking mechanics of 3D-printed rock samples with single fracture. Advances in Geo-Energy Research, 2023, 8(2): 126-135. https://doi.org/10.46690/ager.2023.05.06

References

Abdelaziz, A., Ha, J., Li, M., et al. Understanding hydraulic fracture mechanisms: From the laboratory to numerical modelling. Advances in Geo-Energy Research, 2023, 7(1): 66-68.

Cruz, F., Roehl, D., do Amaral Vargas Jr, E. An XFEM element to model intersections between hydraulic and natural fractures in porous rocks. International Journal of Rock Mechanics and Mining Sciences, 2018, 112: 385-397.

Cruz, F., Roehl, D., do Amaral Vargas Jr, E. An XFEM implementation in Abaqus to model intersections between fractures in porous rocks. Computers and Geotechnics, 2019, 112: 135-146.

Edke, M. S., Chang, K. H. Shape sensitivity analysis for 2D mixed mode fractures using extended FEM (XFEM) and level set method (LSM)#. Mechanics Based Design of Structures and Machines, 2010, 38(3): 328-347.

Fereshtenejad, S., Song, J. J. Fundamental study on applicability of powder-based 3D printer for physical modeling in rock mechanics. Rock Mechanics and Rock Engineering, 2016, 49(6): 2065-2074.

Gao, Y. T., Wu, T. H., Zhou, Y. Application and prospective of 3D printing in rock mechanics: A review. International Journal of Minerals, Metallurgy and Materials, 2021, 28(1): 1-17.

Gell, E. M., Walley, S. M., Braithwaite, C. H. Review of the validity of the use of artificial specimens for characterizing the mechanical properties of rocks. Rock Mechanics and Rock Engineering, 2019, 52(9): 2949-2961.

Ghasemi, S., Khamehchiyan, M., Taheri, A., et al. Crack evolution in damage stress thresholds in different minerals of granite rock. Rock Mechanics and Rock Engineering, 2020, 53(3): 1163-1178.

Haeri, H., Sarfarazi, V., Zhu, Z., et al. Simulation of crack initiation and propagation in three point bending test using PFC2D. Structural Engineering and Mechanics, 2018, 66(4): 453-463.

Haeri, H., Shahriar, K., Marji, M. F., et al. On the strength and crack propagation process of the pre-cracked rocklike specimens under uniaxial compression. Strength of Materials, 2014, 46(1): 140-152.

He, L., Xiao, H., Cui, Y., et al. Review of visualisation methods of studying the seepage mechanism in fractured rocks. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2021, 7(4): 1-25.

Hodder, K. J., Nychka, J. A., Chalaturnyk, R. J. Process limitations of 3D printing model rock. Progress in Additive Manufacturing, 2018, 3(3): 173-182.

Ishola, O., Alexander, A., Vilc´aez, J. Statistical and neural network analysis of the relationship between the stochastic nature of pore connectivity and flow properties of heterogeneous rocks. Journal of Natural Gas Science and Engineering, 2022, 105: 104719.

Jacobsson, L., Ivars, D. M., Kasani, H. A., et al. Experimental program on mechanical properties of large rock fractures. Paper Presented at IOP Conference Series: Earth and Environmental Science, Turin, Italy, 20-25 September, 2021.

Jiang, Q., Feng, X., Song, L., et al. Modeling rock specimens through 3D printing: Tentative experiments and prospects. Acta Mechanica Sinica, 2016, 32(1): 101-111.

Ju, Y., Xie, H., Zheng, Z., et al. Visualization of the complex structure and stress field inside rock by means of 3D printing technology. Chinese Science Bulletin, 2014, 59(36): 5354-5365.

Ju, M., Xing, H. Crack propagation in jointed rock and its effect on rock macrofracture resistance: Insights from discrete element analysis. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2022, 8(1): 1-22.

Kallesten, E., Andersen, P. O., Berawala, D. S., et al. Modeling of permeability and strain evolution in chemical creep compaction experiments with fractured and unfractured chalk cores conducted at reservoir conditions. SPE Journal, 2020, 25(5): 2710-2728.

Ke, C. C., Chen, C. S., Ku, C. Y., et al. Modeling crack propagation path of anisotropic rocks using boundary element method. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(9): 1227-1253.

Lan, H., Martin, C. D., Hu, B. Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading. Journal of Geophysical Research: Solid Earth, 2010, 115: B01202.

Lee, Y. K., Pietruszczak, S. Tensile failure criterion for transversely isotropic rocks. International Journal of Rock Mechanics and Mining Sciences, 2015, 79: 205-215.

Liang, W., Zhao, Y., Liu, J., et al. Advances in in-situ modified mining by fluidization and in unconventional geomechanics. Advances in Geo-Energy Research, 2021, 5(1): 1-4.

Mehraban, M. R., Bahrami, B., Ayatollahi, M. R., et al. A nonlocal XFEM-based methodology for modeling mixed-mode fracturing of anisotropic rocks. Rock Mechanics and Rock Engineering, 2023, 56(2): 895-909.

Nguyen, T. S. Thermo-Hydro-Mechanical-Chemical processes in geological disposal of radioactive waste - An example of regulatory research. Advances in Geo-Energy Research, 2018, 2(2): 173-189.

Pakzad, R., Wang, S., Sloan, S. W. Three-dimensional finite element simulation of fracture propagation in rock specimens with pre-existing fissure(s) under compression and their strength analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 2020, 44(10): 1472-1494.

Pardoen, B., Bésuelle, P., Dal Pont, S., et al. Accounting for small-scale heterogeneity and variability of clay rock in homogenised numerical micromechanical response and microcracking. Rock Mechanics and Rock Engineering, 2020, 53(6): 2727-2746.

Rashid, F., Hussein, D., Lorinczi, P., et al. The effect of fracturing on permeability in carbonate reservoir rocks. Marine and Petroleum Geology, 2023, 152: 106240.

Riazi, E., Yazdani, M., Afrazi, M. Numerical study of slip distribution at pre-existing crack in rock mass using extended finite element method (XFEM). Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2023, in press, https://doi.org/10.1007/s40996-023-01051-8.

Sharafisafa, M., Aliabadian, Z., Tahmasebinia, F., et al. A comparative study on the crack development in rock-like specimens containing unfilled and filled flaws. Engineering Fracture Mechanics, 2021, 241: 107405.

Sharafisafa, M., Shen, L., Xu, Q. Characterisation of mechanical behaviour of 3D printed rock-like material with digital image correlation. International Journal of Rock Mechanics and Mining Sciences, 2018, 112: 122-138.

Shi, L., Yu, T., Bui, T. Q. Numerical modelling of hydraulic fracturing in rock mass by XFEM. Soil Mechanics and Foundation Engineering, 2015, 52(2): 74-83.

Song, R., Liu, J. J., Yang, C., et al. Study on the multiphase heat and mass transfer mechanism in the dissociation of methane hydrate in reconstructed real-shape porous sediments. Energy, 2022, 254: 124421.

Song, R., Wang, Y., Ishutov, S., et al. A comprehensive experimental study on mechanical behavior, microstructure and transport properties of 3D-printed rock analogs. Rock Mechanics and Rock Engineering, 2020, 53(12): 5745-5765.

Song, R., Wang, Y., Sun, S., et al. Characterization and microfabrication of natural porous rocks: From micro-CT imaging and digital rock modelling to micro-3Dprinted rock analogs. Journal of Petroleum Science and Engineering, 2021, 205: 108827.

Sousa, L. M. The influence of the characteristics of quartz and mineral deterioration on the strength of granitic dimensional stones. Environmental Earth Sciences, 2013, 69(4): 1333-1346.

Wang, P., Liu, Y., Zhang, L., et al. Preliminary experimental study on uniaxial compressive properties of 3D printed fractured rock models. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(2): 364-373. (in Chinese)

Wang, H. Numerical modeling of non-planar hydraulic fracture propagation in brittle and ductile rocks using XFEM with cohesive zone method. Journal of Petroleum Science and Engineering, 2015, 135: 127-140.

Wu, Z., Ji, X., Liu, Q., et al. Study of microstructure effect on the nonlinear mechanical behavior and failure process of rock using an image-based-FDEM model. Computers and Geotechnics, 2020a, 121: 103480.

Wu, X., Wang, G., Li, G., et al. Research on shear behavior and crack evolution of symmetrical discontinuous rock joints based on FEM-CZM. Symmetry, 2020b, 12(8): 1314.

Xu, Y., Yao, W., Xia, K. Numerical study on tensile failures of heterogeneous rocks. Journal of Rock Mechanics and Geotechnical Engineering, 2020, 12(1): 50-58.

Yang, S. Strength Failure and Crack Evolution Behavior of Rock Materials Containing Pre-existing Fissures. Beijing, China, Science Press, 2015.

Yang, C., Liu, J. Petroleum rock mechanics: An area worthy of focus in geo-energy research. Advances in Geo-Energy Research, 2021, 5(4): 351-352.

Yao, Y. Linear elastic and cohesive fracture analysis to model hydraulic fracture in brittle and ductile rocks. Rock Mechanics and Rock Engineering, 2012, 45: 375-387.

Zakavi, B., Kotousov, A., Branco, R. Overview of three-dimensional linear-elastic fracture mechanics. International Journal of Fracture, 2022, 234(1): 5-20.

Zhou, T., Zhu, J. An experimental investigation of tensile fracturing behavior of natural and artificial rocks in static and dynamic Brazilian disc tests. Procedia Engineering, 2017, 191: 992-998.

Zhuang, X., Zhou, S. An experimental and numerical study on the influence of filling materials on double-crack propagation. Rock Mechanics and Rock Engineering, 2020, 53(12): 5571-5591.