New Constants of Fracture Angle on Quartz Sandstone

- Supandi, Zufialdi Zakaria, Emi Sukiyah, Adjat Sudradjat

Abstract


Calculation of fracture angle based on the Mohr-Coulomb concept has been generalized to all lithologies, whereas each lithology has a heterogeneous characteristic that is not the same as one another. This research aims to determine constants that calculating the fracture angle based on the Mohr-Coulomb concept for quartz sandstone. The fracture angle based on the results of calculations using mathematical formulas and measurement results in the laboratory is compared. The empirical result for analysis was obtained from direct measurement under the uniaxial test with a single fracture and compared them based on mathematical calculation. Laboratory testing was applied to 50 mm-sized core samples of sandstone. The value of the fracture angle was obtained after taking uniaxial testing with fracture angle measurement against the plane directly. The determination of the friction angle was performed using an undrained-unconsolidated triaxial method. The determination of the correlation constants was conducted by plotting the scatter graph between the friction angle and fracture angle. The correlation shows that the fracture angle has a very strong relationship with rock characteristics. The constants based on the laboratory test are higher than that of the Mohr-Coulomb concept. The increasing constants depend on several factors: mineralogy, cohesion, internal friction angle, density, void ratio, and Poisson’s ratio. The constants of the fracture angle for the quartz sandstone should be changed from 45 to 53.705. This result may be proof that generalizing the formula of fracture angle to all lithologies may not be applied due to the differences of their characteristics in defining the fracture angle.

Keywords


friction angle; fracture angle; Mohr-Coulomb; uniaxial test; quartz sandstone.

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References


P. Wasantha, and P.G. Ranjith, “Deformation characteristic of bedded sandstone in the uniaxial compression” in Proceedings of Int. Conference on International Society for Rock Mechanics and Rock Engineering, China, 2013.

L. Griffiths, M.J. Heap, T. Xu, C.-f. Chen, and P. Baud, “The influence of pore geometry and orientation on the strength and stiffness of porous rock”, Journal of Structural Geology, vol. 96, pp. 149-160, 2017.

I. Janeček, and D.A. Mishra, “Deformational response of rocks to uniaxial, biaxial, and triaxial loading or unloading regimes”, Procedia Engineering, vol. 191, pp. 332-341, 2017.

S. Arora and B. Mishra, “Investigation of the failure mode of shale rocks in biaxial and triaxial compression tests”, International Journal of Rock Mechanics & Mining Sciences, vol.79, pp. 109-123, 2015.

P. Liolios, and G. Exadaktylos, “Comparison of a hyperbolic failure criterion with established failure criteria for cohesive-frictional materials”, International Journal of Rock Mechanics and Mining Sciences, vol. 63, pp. 12-26, 2013.

L.-H. Zhao, S. Zuo, L. Li, Y.-L. Lin, and Y.-B. Zhang, “System reliability analysis of plane slide rock slope using barton-bandis failure criterion”, International Journal of Rock Mechanics and Mining Sciences, vol. 88, pp. 1-11, 2016.

L. Zubillaga, A. Turon, J. Renart, J. Costa, P. and Linde, “An experimental study on matrix crack induced delamination in composite laminates”, Composite Structures, vol. 127, pp. 10-17, 2015.

S. Zhi, and D. Elsworth, , “The role of gas desorption on gas outbursts in underground mining of coal”, Journal of Geomech. Geophys. Geo-energ. Geo-resour, vol. 2, pp. 151-171, 2016.

Supandi, Zakaria Z., Sukiyah E. and Sudradjat A., The Correlation of Exposure Time and Claystone Properties at The Warukin Formation Indonesia, International Journal of GEOMATE, Vol.15, Issue 52, 2018, pp. 160-167.

Supandi, Zakaria Z., Sukiyah E. and Sudradjat A., The Influence of Kaolinite-Illite Toward Mechanical Properties of Claystone, Open Geosciences, Vo.11, Issue 1, 2019, pp.440-446.

Supandi, H.G. Hartono., Geomechanic Properties and Provenance Analysis of Quartz Sandstone From The Warukin Formation, International Journal of GEOMATE, Vol.18, Issue 66, 2020, pp. 140-149.

M.A. Ismael, H.F. Imam, and Y. El-Shayeb, “A simplified approach to directly consider intact rock anisotrophy in hoek-brown failure criterion”, Journal of Rock Mechanics and Geotechnical Engineering, vol. 6, pp. 486-492, 2014.

L. Chen, J.F. Shao, Q.Z. Zhu, and G. Duveau, “Induced anisotropic damage and plasticity ininitially anisotropic sedimentary rocks”, International Journal of Rock Mechanics & Mining Sciences, vol. 51, pp. 13-23, 2012.

D. Hu, H. Zhou, F. Zhang, J. Shao, and J. Zhang, “Modeling of inherent anisotropic behavior of partially saturated clayey rocks”, Computer and Geotechnics, vol. 48, pp. 29-40, 2013.

O. Saeidi, V. Rasouli, R.G.. Vaneghi, R. Gholami, and S.R. Torabi, “A modified failure criterion for transversely isotropic rock”, Geoscience Frontiers, vol. 5, pp. 215-225, 2013.

B. Bahrami, S. Mohsenpour, M.A. Miri, and R. Mirhaseli, “Quantitative comparison of fifteen rock failure criteria constrained by polyaxial test data”, Journal of Petroleum Sciences and Engineering, vol. 159, pp. 564-580, 2017.

J.P. Meyer, and J.F. Labuz, “Linier failure criteria with three principal stresses”, International Journal of Rock Mechanics and Mining Sciences, vol. 60, pp. 180-187, 2013.

C. Zhang, X. Chen, W. Fan, and J. Zhao, “A new unified failure criterion for unsaturated soils”, Environ Earth Sciences, vol. 74, pp. 3345-3356, 2015.

R. Rahimi, and R. Nygaard, “Comparison of rock failure criteria in predicting borehole shear failure”, International Journal of Rock Mechanics and Mining Sciences, vol. 79, pp. 29-40, 2015.

Y. Yugui, G. Feng, C. Hongmei, and H. Peng, “Energy dissipation and failure criterion of artificial frozen soil”, Journal Cold Regions Science and Technology, vol.129, pp.137-144, 2016.

X. Ma, J.W. Rudnicki, and B.C. Haimson, “The application of matsuoa-nakai-lade-duncan failure criterion to two porous sandstones”, International Journal of Rock Mechanics and Mining Sciences, vol. 92, pp. 9-18, 2017.

W. Chen, H. Konietzky, X. Tan, and T. Fruhwirt, “Pre-failure damage analysis for brittle rock under triaxial compression”, Journal Computer and Geotechnics, vol. 74, pp. 45-55, 2016.

D.J. Robert, “A modified mohr-coulomb model to simulate the behaviour of pipelines in unsaturated soils”, Journal Computer and Geotechnics, vol. 91, pp. 146-160, 2017.

S.I. Woo, H. Seo, and J. Kim, “Critical-state-based mohr-coulomb plasticity model for sands”, Computers and Geotechnics, vol.92, pp. 179-185, 2017.

Y. Tian, and Y.-P. Yao, “A simple method to describe three-dimensional anisotropic failure of soils”, Journal Computer and Geotechnics, vol.92, pp. 210-219, 2017.

A. Zhou, S. Wu, J. Li, and D. Sheng, “Including degree of capillary saturation into constitutive modelling of unsaturated soils”, Journal Computer and Geotechnics, vol. 95, pp. 82-98, 2018.

Y. Zhu, “A micromechanics-based damage constitutive model of porous rocks”, International Journal of Rock Mechanics and Mining Sciences, vol. 91, pp. 1-6, 2017.

J.A. Øverli, “A density-dependent failure criterion for concrete”, Construction and Building Materials, vol. 124, pp. 566-574, 2016.

T. Kazerani, “Effect of micro mechanical parameters of micro structure on compressive and tensile failure process of rock”, International Journal of Rock Mechanics & Mining Sciences, vol. 64, pp. 44–55, 2013.

X.Z. Li, Z.S. Shao, and L.F. Fan, “A micro-macro method for predicting the shear strength of brittle rock under compressive loading”, Journal Mechanics Research Communications, vol.75, pp. 13-19, 2016.

H. Hofmann, T. Babadagli, J.S. Yoon, A. Zang, and G.. Zimmermann, “A grain based modeling study of mineralogical factors affecting strength, elastic behavior and micro fracture development during compression tests in granites”, Engineering Fracture Mechanics, vol. 147, pp. 261-275, 2015.

S.-Q. Yang, “Experimental study on deformation, peak strength and crack damage behavior of hollow sandstone under conventional triaxial compression”, Engineering Geology, vol. 213, pp. 11-24, 2016.

A. Bubeck, R. Walker, D. Healy, M. Dobbs, and D. Holwell, “Pore geometry as a control on rock strength”, Earth and Planetary Science Letters, vol. 457, pp. 38-48, 2017.

H. Li, and L.N.Y. Wong, “Influence of flaw inclination angle and loading condition on crack initiation and propagation”, International Journal of Solids and Structures, vol. 49, pp. 2482-2499, 2012.

J. Jin, P. Cao, Y. Chen, C. Pu, D. Maod, and X. Fan, “Influence of single flaw on the failure process and energy mechanics of rock-like material”. Computers and Geotechnics, vol. 86, pp. 150-162, 2017.

Y. Gui, Z. Zhao, C. Zhang, and S. Ma, “Numerical investigation of the opening effect on the mechanical behaviours in rocks under uniaxial loading using hybrid continuum-discrete element method”, Computers and Geotechnics, vol. 90, pp. 55-72, 2017.

A. Fahimifar, "Deformational characteristics of rocks containing a single discontinuity”, International Journal of Engineering Transaction B: Applications, vol. 15 (3), pp. 241-248, 2002.

H. Javdanian, "The effect of geopolymerization on the unconfined compressive strength of stabilized fine-grained soils", International Journal of Engineering Transactions B: Applications, vol. 30(11), pp. 1673-1680, 2017.

M. Shariati, N.H.R. Sulong, A. Shariati, and A.B.H. Kueh, “Comparative performance of channel and angle shear connectors in high strength concrete composites: an experimental study”, Construction and Building Materials, vol. 120, pp. 382-392, 2016.

M.J. Ikari, A.R. Niemeijer, and C. Marone, “Experimental investigation of incipient shear failure in foliated rock”, Journal of Structural Geology, vol. 77, pp. 82-91, 2015.

H. Xie, J. Pei, J. Zuo, and R. Zhang, “Investigation of mechanical properties of fractured marbles by uniaxial compression tests”, Journal of Rock Mechanics and Geotechnical Engineering, vol. 3(4), pp. 302-313, 2011.

E. Hoek, C. Carranza-Torres, and B. Corkum, “Hoek-Brown failure criterion – 2002 edition” in Proc. NARMS-TAC Conference, Toronto, 2002.




DOI: http://dx.doi.org/10.18517/ijaseit.10.4.8272

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