Document Type : Original Research Paper

Authors

1 School of Mining Engineering, College of Engineering, University of Tehran, Tehran, Iran

2 Shahid Bahonar University of Kerman, Kerman, Iran

3 School of Civil Engineering, The University of Queensland, Brisbane, Australia

4 School of Minerals and Energy Resources Engineering, UNSW Sydney, Sydney, Australia

Abstract

A proper understanding of the shear behaviour of rock joints and discontinuities is yet a remaining challenge in the rock engineering research works owing to the difficulties in quantitatively describing the joint surface roughness both at the field and the laboratory scales. Several instruments and techniques have been developed over the years for the surface characterisation of joints at the field- and laboratory-scale investigations, amongst which the application of the photogrammetry methods has obtained a growing popularity. This work evaluates the applicability of the photogrammetry techniques for the characterisation of joint surface topography and texture at micro-scales, which has been largely understudied in the literature. Three tensile joint surfaces are digitized using photogrammetry, and the results are compared with those obtained from laser scans with a high 3D accuracy. A comprehensive statistical analysis is then undertaken on the digitized point clouds in order to assess the performance of photogrammetry in surface characterisation. The results of this work show that the height differences between the resulting point clouds from the two adopted techniques (photogrammetry and 3D laser scanning) follow the normal distribution with the mean values close to zero. The statistical analyses illustrate that the measured joint surfaces using the photogrammetry techniques are in good agreement with the laser scanning data, confirming that photogrammetry is a capable method for characterising the joint surface roughness even at micro-scales. Interestingly, the results obtained further indicate that the accuracy and preciseness of the photogrammetry techniques are independent from the joint roughness coefficient but the camera and configuration parameters remarkably control the performance of the measurement.

Keywords

[1]. Patton, F.D. (1966). Multiple modes of shear failure in rock. Proc, 1st ISRM Congress. Lisbon, Portugal, 509-515.
[2]. Ladanyi, B. and Archambault, G. (1969). Simulation of shear behavior of a jointed rock mass. Proc,  The 11th US Rock Mechanics Symposium (USRMS). Berkeley, CA, 105-125.
[3]. Ladanyi, B. and Archambault, G. (1980). Direct and indirect determination of shear strength of rock mass.  Preprint number 80-25 AIME Annual Meeting. Las Vegas, Nevada1-16.
[4]. Barton, N. and Choubey, V. (1977). The shear strength of rock joints in theory and practice. Rock Mechanics, 10 (1-2), 1-54.
[5]. Grasselli, G. and Egger, P. (2003). Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters. International Journal of Rock Mechanics and Mining Sciences, 40 (1), 25-40.
[6]. Grasselli, G. (2006). Manuel rocha medal recipient-shear strength of rock joints based on quantified surface description. Rock Mechanics and Rock Engineering, 39 (4), 295-314.
[7]. Asadollahi, P. and Tonon, F. (2010). Constitutive model for rock fractures: Revisiting Barton's empirical model. Engineering Geology, 113 (1–4), 11-32.
[8]. Bahaaddini, M. (2017). Effect of Boundary Condition on the Shear Behaviour of Rock Joints in the Direct Shear Test. Rock Mechanics and Rock Engineering, 50 (5), 1141-1155.
[9]. Bahaaddini, M., Hagan, P., Mitra, R., and Hebblewhite, B.K. (2013). Numerical investigation of asperity degradation in the direct shear test of rock joints. Proc,  Eurock 2013 conference. Wroclaw, Poland.
[10]. Pirzada, M.A., Roshan, H., Sun, H., Oh, J., Andersen, M.S., Hedayat, A. et al. (2020). Effect of contact surface area on frictional behaviour of dry and saturated rock joints. Journal of Structural Geology, 135, 104044.
[11]. Pirzada, M.A., Bahaaddini, M., Moradian, O., and Roshan, H. (2021). Evolution of contact area and aperture during the shearing process of natural rock fractures. Engineering Geology, 291, 106236.
[12]. Xie, H., Wang, J.-A., and Xie, W.-H. (1997). Fractal effects of surface roughness on the mechanical behavior of rock joints. Chaos, Solitons and Fractals, 8 (2), 221-252.
[13]. Zhang, G., Karakus, M., Tang, H., Ge, Y., and Zhang, L. (2014). A new method estimating the 2D Joint Roughness Coefficient for discontinuity surfaces in rock masses. International Journal of Rock Mechanics and Mining Sciences, 72, 191-198.
[14]. Wang, C., Wang, L., and Karakus, M. (2019). A new spectral analysis method for determining the joint roughness coefficient of rock joints. International Journal of Rock Mechanics and Mining Sciences, 113, 72-82.
[15]. Weissbach, G. (1978). A new method for the determination of the roughness of rock joints in the laboratory. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 15 (3), 131-133.
[16]. Milne, D., Germain, P., and Potvin, Y. (1992). Measurement of rock mass properties for mine design. Proc,  ISRM Symposium on Rock Characterization-Eurock 92. London: A.A. Balkema, 245-250.
[17]. Maerz, N.H., Franklin, J.A., and Bennett, C.P. (1990). Joint roughness measurement using shadow profilometry. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 27 (5), 329-343.
[18]. Maerz, N.H. and Franklin, J.A. (1990). Roughness scale effects and fractal dimension. Proc,  First International Workshop on Scale Effects in Rock Masses. Leon, Norway: A.A. Balkema, 121-125.
[19]. Grasselli, G. (2001). Shear strength of rock joints based on quantified surface description, PhD Thesis, Ecole Polytechnique Fédérale de Lausanne, Switzerland.
[20]. Thomas, T.R. (1999) Rough Surfaces. London: Imperial College Press.
[21]. Feckers, E. and Rengers, N. (1971). Measurement of large scale roughness of rock planes by means of profilograph and geological compass. Proc,  International Symposium on Rock Mechanics. Nancy, France, 1-18.
[22]. Rasouli, V. and Harrison, J.P. (2004). A comparison of linear profiling and an in-plane method for the analysis of rock surface geometry. International Journal of Rock Mechanics and Mining Sciences, 41, Supplement 1 (0), 133-138.
[23]. Sturzenegger, M. and Stead, D. (2009). Close-range terrestrial digital photogrammetry and terrestrial laser scanning for discontinuity characterization on rock cuts. Engineering Geology, 106 (3–4), 163-182.
[24]. Gaich, A., Potsch, M., and Schubert, W. (2006). Basics and application of 3D imaging systems with conventional and high-resolution cameras. Proc, The 41st US Rock Mechanics Symposium. Alexandria, VA.
[25]. Poropat, G.V. (2006). Remote 3D mapping of rock mass structure. Proc,  The 41st US Rock Mechanics Symposium. Alexandria, VA.
[26]. Tonon, F. and Kottenstette, J.T. (2006). Laser and photogrammetric methods for rock face characterization. Proc, The 41st US Rock Mechanics Symposium. Alexandria, VA.
[27]. Birch, J.S. (2006). Using 3DM Analyst Mine Mapping Suite for rock face characterization. Proc,  The 41st US Rock Mechanics Symposium. Alexandria, VA.
[28]. Zhang, D., Zhang, Y., Cheng, T., Meng, Y., Fang, K., Garg, A. et al. (2017). Measurement of displacement for open pit to underground mining transition using digital photogrammetry. Measurement, 109, 187-199.
[29]. Firpo, G., Salvini, R., Francioni, M., and Ranjith, P.G. (2011). Use of digital terrestrial photogrammetry in rocky slope stability analysis by distinct elements numerical methods. International Journal of Rock Mechanics and Mining Sciences, 48 (7), 1045-1054.
[30]. Voyat, I., Roncella, R., Forlani, G., and Ferrero, A.M. (2006). Advanced techniques for geo structural surveys in modelling fractured rock masses: application to two Alpine sites. Proc, The 41st US Rock Mechanics Symposium. Alexandria, VA.
[31]. Tannant, D.D. (2015). Review of photogrammetry-based techniques for characterization and hazard assessment of rock faces International Journal of Geohazards and Environment, 1 (2), 76-87.
[32]. Haneberg, W. (2008). Using close range terrestrial digital photogrammetry for 3-D rock slope modeling and discontinuity mapping in the United States. Bulletin of Engineering Geology and the Environment, 67 (4), 457-469.
[33]. Kottenstette, J.T. (2005). Measurement of geologic features using close range terrestrial photogrammetry. Proc, The 40th US Symposium on Rock Mechanics. Anchorage, Alaska, USA.
[34]. Tonon, F. and Kottenstette, J.T. (2006). Summary paper on the Morrison field exercise. Proc, The 41st US Rock Mechanics Symposium. Alexandria, VA.
[35]. Gaich, A. and Pötsch, M. (2016). Gaich 2016 3D images for digital tunnel face documentation at TBM headings – Application at Koralmtunnel lot KAT2 Geomechanics and Tunnelling, 9 (3), 210-221.
[36]. Niedostatkiewicz, M., Lesniewska, D., and Tejchman, J. (2011). Experimental analysis of shear zone patterns in cohesionless for earth pressure problems using particle image velocimetry, Strain, 47: 218-231.
[37]. Khosravi, M.H., Pipatpongsa, T., and Takemura, J. (2013). Experimental analysis of earth pressure against rigid retaining walls under translation mode. Geotechnique, 63 (12), 1020-1028.
[38]. Ganiyu, A.A., Rashid, A.S.A., and Osman, M.H. (2016). Utilization of transparent synthetic soil surrogates in geotechnical physical models: A review. Journal of Rock Mechanics and Geotechnical Engineering, 8 (4), 568-576.
[39]. Khosravi, M.H., Pipatpongsa, T., Takahashi, A., and Takemura, J. (2011). Arch action over an excavated pit on a stable scarp investigated by physical model tests. Soils and Foundations, 51 (4), 723-735.
[40]. Khosravi, M., Tang, L., Pipatpongsa, T., Takemura, J., and Doncommul, P. (2012). Performance of counterweight balance on stability of undercut slope evaluated by physical modeling. International Journal of Geotechnical Engineering, 6 (2), 193-205.
[41]. Masoumi, H. (2013). Investigation into the mechanical behaviour of intact rock at different sizes PhD Thesis, UNSW Australia, Sydney.
[42]. Masoumi, H., Bahaaddini, M., Kim, G., and Hagan, P. (2014). Experimental investigation into the mechanical behavior of Gosford sandstone at different sizes. Proc, 48th US Rock Mechanics/Geomechanics Symposium: American Rock Mechanics Association.
[43]. Bahaaddini, M., Serati, M., Masoumi, H., and Rahimi, E. (2019). Numerical assessment of rupture mechanisms in Brazilian test of brittle materials. International Journal of Solids and Structures, 180-181, 1-12.
[44]. Lv, A., Masoumi, H., Walsh, S.D.C., and Roshan, H. (2019). Elastic-softening-plasticity around a borehole: an analytical and experimental study. Rock Mechanics and Rock Engineering, 52 (4), 1149-1164.
[45]. Myers, N.O. (1962). Characterization of surface roughness. Wear, 5 (3), 182-189.
[46]. Tse, R. and Cruden, D.M. (1979). Estimating joint roughness coefficients. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 16 (5), 303-307.
[47]. ADAM Technology. (2010) 3DM analyst mine mapping suite manual. Perth, Australia
[48]. Bahaaddini, M. and Hosseinpour Moghadam, E. (2019). Evaluation of empirical approaches in estimating the deformation modulus of rock masses, Bulletin of Engineering Geology and the Environment, 78 (5), 3493-3507.
[49]. Bland, J.M. and Altman, D.G. (1995). Comparing methods of measurement: why plotting difference against standard method is misleading. Lancet (London, England), 346 (8982), 1085-1087.
[50]. Bland, J.M. and Altman, D.G. (1986). Statistical methods for assessing agreement between two methods of clinical measurement. Lancet (London, England), 1 (8476), 307-310.
[51]. Bland, J.M. and Altman, D.G. (1999). Measuring agreement in method comparison studies. Statistical methods in medical research, 8 (2), 135-160.
[52]. Montenij, L.J., Buhre, W.F., Jansen, J.R., Kruitwagen, C.L., and de Waal, E.E. (2016). Methodology of method comparison studies evaluating the validity of cardiac output monitors: a stepwise approach and checklist. British Journal of Anaesthesia, 116 (6), 750-758.
[53]. Kim, D.H., Poropat, G., Gratchev, I., and Balasubramaniam, A. (2016). Assessment of the accuracy of close distance photogrammetric JRC data. Rock Mechanics and Rock Engineering, 49 (11), 4285-4301.
[54]. El-Hakim, S.F., Beraldin, J.A., and Blais, F. (1995) Comparative evaluation of the performance of passive and active 3D vision systems, Proc. SPIE 2646, Digital Photogrammetry and Remote Sensing.
[55]. Bahaaddini, M., Hagan, P.C., Mitra, R., and Khosravi, M.H. (2016). Experimental and numerical study of asperity degradation in the direct shear test. Engineering Geology, 204, 41-52.
[56]. Bahaaddini, M., Hagan, P.C., Mitra, R., and Hebblewhite, B.K. (2015). Parametric study of smooth joint parameters on the shear behaviour of rock joints. Rock Mechanics and Rock Engineering, 48 (3), 923-940.
[57]. Asadi, M., Rasouli, V., and Barla, G. (2012). A bonded particle model simulation of shear strength and asperity degradation for rough rock fractures. Rock Mechanics and Rock Engineering, 45 (5), 649-675.
[58]. Bahaaddini, M., Sharrock, G., Hebblewhite, B., and Mitra, R. (2012). Direct shear tests to model the shear behaviour of rock joints by PFC2D. 46th US Rock Mechanics/Geomechanics Symposium. Chicago, IL, USA: American Rock Mechanics Association.
[59]. Bahaaddini, M. (2014). Numerical study of the mechanical behaviour of rock joints and non-persistent jointed rock masses, PhD Thesis, UNSW Australia, Sydney, Australia.