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 rockâ€, Journal of Structural Geology, vol. 96, pp. 149-160, 2017.

I. JaneÄek, and D.A. Mishra, “Deformational response of rocks to uniaxial, biaxial, and triaxial loading or unloading regimesâ€, 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 testsâ€, 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 materialsâ€, 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 criterionâ€, 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 laminatesâ€, 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 coalâ€, 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 criterionâ€, 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 rocksâ€, 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 rocksâ€, 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 rockâ€, 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 dataâ€, 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 stressesâ€, 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 soilsâ€, Environ Earth Sciences, vol. 74, pp. 3345-3356, 2015.

R. Rahimi, and R. Nygaard, “Comparison of rock failure criteria in predicting borehole shear failureâ€, 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 soilâ€, 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 sandstonesâ€, 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 compressionâ€, 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 soilsâ€, 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 sandsâ€, 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 soilsâ€, 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 soilsâ€, Journal Computer and Geotechnics, vol. 95, pp. 82-98, 2018.

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

J.A. Øverli, “A density-dependent failure criterion for concreteâ€, 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 rockâ€, 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 loadingâ€, 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 granitesâ€, 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 compressionâ€, 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 strengthâ€, 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 propagationâ€, 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 materialâ€. 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 methodâ€, Computers and Geotechnics, vol. 90, pp. 55-72, 2017.

A. Fahimifar, "Deformational characteristics of rocks containing a single discontinuityâ€, 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 studyâ€, 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 rockâ€, 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 testsâ€, 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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