Abstract
The preliminary responses on stability assessment are very effective in discontinuous rock slope stabilisations, which geo-mechanical empirical classifications/approaches can be evaluated. Although there are several geomechanical classifications for rock mass characteristics, they still have some complexities and shortcomings. In this paper, correlations based on two flexible classification systems, namely slope mass rating (SMR) and Barton’s Qslope, has been discussed as a connection between failure (i.e., safety factor, reliability) and stability conditions (i.e., failure mechanism, support system) which were performed in 300 road/railway slope cases from 12 provinces in Iran. The empirical SMR-Qslope relationship has been used for sedimentary rocks defined lithologically as limestone, marlstone, sandstone, and claystone. The method was used to provide the empirical link to the primary design for discontinuous rock slopes. To this end, after field investigations and the necessary geo-engineering data gathered on the studied slopes. The information used to provide the SMR and Qslope retirements prepare SMR-Qslope relation for Iranian data. The artificial intelligence techniques including k-nearest neighbours, support vector machine, Gaussian process, decision tree, random forest, multilayer perception, and Naïve-Bayes classifiers have been used for detailed classifications. The accurate correlations provided have been implemented and revised in the Python programming language. According to the learning model results, SMR-Qslope equation for Iranian data has been developed as SMR = 6.699 ln (Qslope) + 58.99 / R2 = 0.62 with 0.95 (95%) accuracy. The evaluated results were verified and controlled by Jorda-Bordehore et al. (Stability assessment of rock slopes using empirical approaches: comparison between slope mass rating and Q-slope, 2018) and Maion (Proposta de correlação entre os índices SMR e Q-slope , 2019) empirical relationships as a basic table. By comparing these studies’ results, it can be stated that the present study has improved the accuracy of SMR-Qslope relationship.
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References
Aggarwal CC (2018) Neural networks and deep learning: a textbook. Springer, New York
Aghanabati A (2007) Geology of Iran. Geological Survey & Mineral Explorations of Iran press, Tehran (In Persian)
ASTM D5607 (2016) Standard test method for performing laboratory direct shear strength tests of rock specimens under constant normal force, ASTM International, West Conshohocken, PA, USA
ASTM D5731 (2016) Standard test method for determination of the point load strength index of rock and application to rock strength classifications, ASTM International, West Conshohocken, PA, USA
ASTM D7012 (2014) Standard test methods for compressive strength and elastic moduli of intact rock core specimens under varying states of stress and temperatures, ASTM International, West Conshohocken, PA, USA
Azarafza M, Akgün H, Asghari-Kaljahi E (2017a) Assessment of rock slope stability by slope mass rating (SMR): a case study for the gas flare site in Assalouyeh, South of Iran. Geomech Eng 13(4):571–584. http://dx.doi.org/https://doi.org/10.12989/gae.2017.13.4.571
Azarafza M, Akgün H, Asghari-Kaljahi E (2018) Stochastic geometry model of rock mass fracture network in tunnels. Q J Eng Geol Hydrogeol 51(3):379–386. https://doi.org/10.1144/qjegh2017-136
Azarafza M, Asghari-Kaljahi E (2016) Applied geotechnical engineering. Negarkhane Publication, Isfahan (In Persian)
Azarafza M, Asghari-Kaljahi E, Akgün H (2017b) Assessment of discontinuous rock slope stability with block theory and numerical modeling: a case study for the South Pars Gas Complex, Assalouyeh, Iran. Environ Earth Sci 76:397. https://doi.org/10.1007/s12665-017-6711-9
Azarafza M, Asghari-Kaljahi E, Akgün H (2017c) Numerical modeling of discontinuous rock slopes utilizing the 3DDGM (three-dimensional discontinuity geometrical modeling) method. Bull Eng Geol Environ 76:989–1007. https://doi.org/10.1007/s10064-016-0879-1
Azarafza M, Asghari-Kaljahi E, Moshrefy-Far MR (2014a) Numerical modeling and stability analysis of shallow foundations located near slopes (case study: phase 8 gas flare foundations of south pars gas complex). J Geotech Geol 10(2):92–99 (In Persian)
Azarafza M, Asghari-Kaljahi E, Moshrefy-Far MR (2015) Dynamic stability analysis of jointed rock slopes under earthquake condition (Case study: Gas Flare Site of phase 7 in South Pars Gas Complex–Assalouyeh). J Iran Assoc Eng Geol 8(1–2):67–78 (In Persian)
Azarafza M, Nanehkaran YA, Rajabion L, Akgün H, Rahnamarad J, Derakhshani R, Raoof A (2020a) Application of the modified Q-slope classification system for sedimentary rock slope stability assessment in Iran. Eng Geol 264:105349. https://doi.org/10.1016/j.enggeo.2019.105349
Azarafza M, Nikoobakht S, Asghari-Kaljahi E, Moshrefy-Far MR (2014a) Stability analysis of jointed rock slopes using block theory (case study: gas flare site in phase 7 of South Pars Gas Complex). In: Proceedings of 32nd National 1st international geoscience congress, Sari, Iran
Azarafza M, Nikoobakht S, Asghari-Kaljahi E, Moshrefy-Far MR (2014b) Geotechnical modeling of semi-continuance jointed rock slopes (case study: gas flare site in phase 6 of south pars gas complex). In: Proceedings of 32nd National 1st international geoscience congress, Sari, Iran
Azarafza M, Nikoobakht S, Rahnamarad J, Asasi F, Derakhshani R (2020b) An empirical method for Slope mass rating-Qslope correlation for Isfahan province, Iran. MethodsX https://doi.org/10.1016/j.mex.2020.101069.
Azarafza M, Yarahmadi-Bafghi AR, Asghari-Kaljahi E, Bahmannia GR, Moshrefy-Far MR (2013) Stability analysis of jointed rock slopes using key block method (Case study: gas flare site in 6, 7 and 8 phases of South Pars Gas Complex). J Geotch Geol 9(3):169–185 (In Persian)
Bagheri Shendi M, Azarafza M (2018) A case study for utilization of image processing in jointed network detection in open-pit mining. J Geotech Geol 14(2):197–202
Bar N, Barton N (2017) The Q-slope Method for Rock Slope Engineering. Rock Mech Rock Eng 50:3307–3322. https://doi.org/10.1007/s00603-017-1305-0
Barton N, Grimstad E (2014) Forty years with the Q-system in Norway and Abroad
Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6:189–236. https://doi.org/10.1007/BF01239496
Bieniawski ZT (1973) Engineering classification of jointed rock masses. Civil Engineer in South Africa, 15
Bieniawski ZT (1989) engineering rock mass classifications: a complete manual for engineers and geologists in mining, civil, and petroleum engineering. Wiley, New Jersey
Cecil OS (1975) Correlations of rock bolt-shotcrete support and rock quality parameters in Scandinavian tunnels. In: Proceedings of Swedish Geotech Ins, Sweden, Norway
Chen J, Li X, Zhu H, Rubin Y (2017) Geostatistical method for inferring RMR ahead of tunnel face excavation using dynamically exposed geological information. Eng Geol 228:214–223. https://doi.org/10.1016/j.enggeo.2017.08.004
Chen Z (1995) Recent developments in slope stability analysis. In: Proceedings of 8th ISRM congress, international society of rock mechanics and rock engineering, Tokyo, Japan
Cristianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other kernel-based learning methods. Cambridge University Press, Cambridge
Daftaribesheli A, Ataei M, Sereshki F (2011) Assessment of rock slope stability using the fuzzy slope mass rating (FSMR) system. Appl Soft Comput 11(8):4465–4473. https://doi.org/10.1016/j.asoc.2011.08.032
Deere DU, Deere DW (1988) The Rock Quality Designation (RQD) Index in Practice. In: Proceedings of international symposium rock class engineering purpose, ASTM International, PA. https://doi.org/10.1520/STP48465S
Deere DU, Deere DW (1989) Rock quality designation (RQD) after twenty years, DEERE (DON U) Consultant Gainesville FL
Deere DU, Hendron A, Patton F, Cording E (1966) Design of surface and near-surface construction in rock. In: Proceedings of 8th US symposium rock mechanics (USRMS), Minneapolis, Minnesota
Deere DU, Peck RB, Parker HW, Monsees JE, Schmidt B (1970) Design of tunnel support systems. Highway Research Record
Ghorbani M (2013) A summary of geology of Iran: the Economic Geology of Iran, Springer, Dordrecht, https://doi.org/10.1007/978-94-007-5625-02
Goel RK, Singh B (2011) Engineering rock mass classification: tunnelling, foundations and landslides, Elsevier, New York
Hack R, Price D, Rengers N (2003) A new approach to rock slope stability–a probability classification (SSPC). Bull Eng Geol Environ 62:167–184. https://doi.org/10.1007/s10064-002-0155-4
Hou C, Zhang T, Sun Z, Dias D, Li J (2019) Discretization technique for stability analysis of complex slopes. Geomech Eng 17(3):227–236. http://dx.doi.org/https://doi.org/10.12989/gae.2019.17.3.227
Huang YH (2014) Slope stability analysis by the limit equilibrium method. ASCE Publications, Virginia
Hudson JA, Harrison JP (1997) Engineering rock mechanics: an introduction to the principles. Elsevier Science, Amsterdam
Jorda-Bordehore L, Bar N, González MC, Gull AR, Jover RT (2018) Stability assessment of rock slopes using empirical approaches: comparison between slope mass rating and Q-slope. In: Proceedings of XIV international congress energy mineral resources, Seville, Spain
Kleinbrod U, Burjánek J, Fäha D (2019) Ambient vibration classification of unstable rock slopes: a systematic approach. Eng Geol 249:198–217. https://doi.org/10.1016/j.enggeo.2018.12.012
Latha GM, Garaga A (2010) Stability analysis of a rock slope in Himalayas. Geomech Eng 2(2):125–140. http://dx.doi.org/https://doi.org/10.12989/gae.2010.2.2.125
Laubscher DH (1977) Geomechanics classification of jointed rock masses-mining applications. Trans Inst Min Metall 86:A1-8
Lauffer H (1958) Gebirgsklassi fizierung für den stollenbau. Geologie Und Bauwesen 74:46–51
Li X, Chen Z, Chen J, Zhu H (2019) Automatic characterization of rock mass discontinuities using 3D point clouds. Eng Geol 259:105131. https://doi.org/10.1016/j.enggeo.2019.05.008
Maion AV (2019) Proposta de correlação entre os índices SMR e Q-slope. MS thesis, Universidade de São Paulo, Brazil. (In Portuguese)
Nogole-Sadat MAA, Almasian M (1993) Tectonic Map of Iran - Scale 11000000. Geological Survey of Iran Press, Tehran (In Persian)
Pastor JL, Riquelme AJ, Tomás R, Cano M (2019) Clarification of the slope mass rating parameters assisted by SMRTool, an open-source software”. Bull Eng Geol Environ 78:6131–6142. https://doi.org/10.1007/s10064-019-01528-9
Raschka S, Mirjalili V (2017) Python machine learning: machine learning and deep learning with python, Scikit-learn, and TensorFlow, 2nd edn. Packt Publishing, Birmingham, England
Ritter W (1879) Die statik der tunnelgewölbe. Springer, Berlin
Robertson A (1988) Estimating weak rock strength. In: Proceedings of SME annual meeting, Phoenix, Arizona
Rogerson J (2019) Artificial neural networks: advanced principles. Willford Press, Waterloo
Rokach L, Maimon OZ (2014) Data mining eith decision trees: theory and applications. Wspc press, Palaio Faliro
Romana M, Serón JB, Montalar E (2003) SMR geomechanics classification: application, experience and validation. In: Proceedings of 10th ISRM Congress Sandton, South Africa
Romana M, Tomas R, Seron JB (2015) Slope Mass Rating (SMR) Geomechanics Classification: Thirty Years Review. In: Proceedings of 2015 ISRM Congress, Quebec, Canada
Shuk T (1994) Key elements and applications of the natural slope methodology (NSM) with some emphasis on slope stability aspects. In: Proceedings of 4th South American Congress Rock Mechanics, Berkeley CA, USA
Steele B, Chandler J, Reddy S (2016) Algorithms for data science. Springer, New York
Sullivan TD (2013) Global slope performance index. In: Proceedings of 2013 international symposium slope stability open pit min civil engineering, Queensland, Australia
Taheri A (2013) Design of rock slopes using SSR classification system. In: Proceedings of international conference ground improvement ground control, Wollongong, Australia
Terzaghi K (1946) Rock defects and loads on tunnel supports. Harvard University, Massachusetts
Tomás R, Cuenca A, Cano M, García-Barba J (2012) A graphical approach for slope mass rating (SMR). Eng Geol 124:67–76. https://doi.org/10.1016/j.enggeo.2011.10.004
Tomás R, Delgado JB, Serón J (2007) Modification of slope mass rating (SMR) by continuous functions. Int J Rock Mech Min Sci 44:1062–1069. https://doi.org/10.1016/j.ijrmms.2007.02.004
Wyllie DC, Mah C (2004) Rock slope engineering, 4th edn. Spon Press, Milton Park
Yang XL, Liu ZA (2018) Reliability analysis of three-dimensional rock slope. Geomech Eng 15(6):1183–1191. http://dx.doi.org/https://doi.org/10.12989/gae.2018.15.6.1183
Zhang L (2005) Engineering properties of rocks. Elsevier, New York
Zheng J, Zhao Y, Lü Q, Deng J, Pan X, Li Y (2016) A discussion on the adjustment parameters of the Slope Mass Rating (SMR) system for rock slopes. Eng Geol 206:42–49. https://doi.org/10.1016/j.enggeo.2016.03.007
Zhu JQ, Yang XL (2018) Probabilistic stability analysis of rock slopes with cracks. Geomech Eng 16(6):655–667. http://dx.doi.org/https://doi.org/10.12989/gae.2018.16.6.655
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Azarafza, M., Koçkar, M.K. & Zhu, HH. Correlations of SMR-Qslope Data in Stability Classification of Discontinuous Rock Slope: A Modified Relationship Considering the Iranian Data. Geotech Geol Eng 40, 1751–1764 (2022). https://doi.org/10.1007/s10706-021-01991-w
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DOI: https://doi.org/10.1007/s10706-021-01991-w