Determination of Terrain-Specific Restitution Coefficients and Rockfall Hazard Assessment in the Chaku Bazar of Nepal
Keywords:
Block Analysis, , GeoRock 2D, Hazard, Rockfall , Restitution CoefficientAbstract
Many of Nepal's rapidly growing cities are located at the base of steep slopes, where rockfall hazards pose a significant threat. Rockfall issues have also been observed in Chaku Bazar, Sindhupalchowk, Bagmati Nepal, situated at km 102+000 along the Araniko Highway. The primary aims of this study were to determine the restitution coefficient of the material, stability analysis and to simulate rockfall at the steep slope in Chaku Bazar. The accuracy of rockfall simulations relies on the restitution coefficient. Initially, the normal and tangential restitution coefficients were calculated for 10 different rock boulders, varying in shape and composition using the Tracker Video analysis and modeling tool. The computed values for normal and tangential restitution coefficients were then used to simulate rockfall behavior using GeoRock 2D across four different sections, predicting rockfall trajectories and run-out distances. Geologically, the area is part of the Lakharpata Group of the Lesser Himalaya, characterized by calcareous rocks, primarily dolomite and schist. The normal restitution coefficient for vegetated rocky terrain was 0.25, while for solid rock it was 0.73. Likewise, the tangential restitution coefficient was 0.37 for grass-covered areas and 0.82 for rocky surfaces. The factor of safety of block for planar failure is 0.83, for wedge failure is 0.95 and for toppling failure is 1.35. After determining the restitution coefficients, the calculations revealed a maximum collision energy of 2576 kJ and a maximum bounce height of 4.6 meters.
References
Abebe B., Dramis F., Fubelli G., Umer M. and Asrat A. (2010). Landslides in the Ethiopian highlands and the Rift margins. Journal of African Earth Sciences, 56 (4-5), 131-138. https://doi.org/10.1016/j.jafrearsci.2009.06.006
Asteriou P., Saroglou H., Tsiambaos G. (2012). Geotechnical and kinematic parameters affecting the oefficients of restitution for rock fall analysis. Int J Rock Mech Min Sci 54:103–113. https://doi.org/10.1016/j.ijrmms.2012.05.029
Azzoni A. and De Freitas M.H. (1995). Experimentally gained parameters, decisive for rock fall analysis. Rock mechanics and rock engineering, 28 (2), 111-124. https://doi.org/10.1007/BF01020064
Brach R.M. (1991). Vehicle dynamics model for simulation on a microcomputer. International Journal of Vehicle Design, 12 (4), 404-419. https://doi.org/10.1504/IJVD.1991.061757
Brach R.M. (1997). An analytical assessment of the critical speed formula (No. 970957). SAE Technical Paper. https://doi.org/10.4271/970957
Bunce C.M., Cruden D.M. and Morgenstern N.R. (1997). Assessment of the hazard from rock fall on a highway. Canadian Geotechnical Journal, 34 (3), 344-356. http://dx.doi.org/10.1139/cgj-34-3-344
Bourrier F., Dorren L., Nicot F., Berger F. and Darve F. (2009). Toward objective rockfall trajectory simulation using a stochastic impact model. Geomorphology 110: 68–79. http://dx.doi.org/10.1016/j.geomorph.2009.03.017
Bourrier F., Berger F., Tardif P., Dorren L., Hungr O. (2012). Rockfall rebound: comparison of detailed field experiments and alternative modelling approaches. Earth Surf Proc Land 37 (6): 656–665. http://dx.doi.org/10.1002/esp.3202
Buzzi O., Giacomini A. and Spadari M. (2012). Laboratory investigation on high values of restitution coefficients. Rock mechanics and rock engineering, 45, 35-43. http://dx.doi.org/10.1007/s00603-011-0183-0
Chau K.T., Wong R.H.C. and Wu J.J. (2002). Coefficient of restitution and rotational motions of rockfall impacts. International Journal of Rock Mechanics and Mining Sciences, 39 (1), 69-77. https://doi.org/10.1016/S1365-1609(02)00016-3
Cruden D.M. and Varnes D.J. (1996). Landslide types and processes, transportation research board, us national academy of sciences, special report, 247: 36-75.
Dahal R.K. (2016). Initiatives for rockfall hazard mitigation in Nepal. Bulletin of Nepal Geological Society, 33, 51-56.
Dorren L.K. (2003). A review of rockfall mechanics and modelling approaches. Progress in Physical Geography, 27 (1), 69-87. http://dx.doi.org/10.1191/ 0309133303pp359ra
Evans S.G. and Hungr O. (1993). The assessment of rockfall hazard at the base of talus slopes. Canadian geotechnical journal, 30 (4), 620-636. https://doi.org/10.1139/t93-054
Giani G.P., Giacomini A., Migliazza M. and Segalini A., (2004). Experimental and theoretical studies to improve rock fall analysis and protection work design. Rock Mechanics and Rock Engineering, 37, 369-389. https://doi.org/10.1007/s00603-004-0027-2
Hoek E. and Bray J. D. (1981). Rock slope engineering. The Institution of Mining and Metallurgy, 402.
Khatiwada D. and Dahal R.K. (2020). Rockfall hazard in the Imja glacial Lake, eastern Nepal. Geoenvironmental Disasters, 7 (1), 29p. https://doi.org/10.1186/s40677-020-00165-9
Matsuoka N. and Sakai H. (1999). Rockfall activity from an alpine cliff during thawing periods. Geomorphology, 28 (3-4), 309-328. https://doi.org/10.1016/S0169-555X(98)00116-0
McCarroll D. and Pawellek F. (1998). Stable carbon isotope ratios of latewood cellulose in Pinus sylvestris from northern Finland: variability and signal-strength. The Holocene, 8 (6), 675-684. https://doi.org/10.1191/095968398675987498
Paronuzzi P. (2009). Rockfall-induced block propagation on a soil slope, northern Italy. Environmental geology, 58, 1451-1466. http://dx.doi.org/10.1007/s00254-008-1648-7
Pfeiffer T.J. and Bowen T.D. (1989). Computer simulation of rockfalls. Bulletin of the association of Engineering Geologists, 26 (1), 135-146. https://doi.org/10.2113/GSEEGEOSCI.XXVI.1.135
Sabatakakis N., Depountis N. and Vagenas N. (2015). Evaluation of rockfall restitution coefficients. In Engineering Geology for Society and Territory, Landslide Processes, Springer International Publishing, 2, 2023-2026. http://dx.doi.org/10.1007/978-3-319-09057-3_359
Spadari M., Giacomini A., Buzzi O., Fityus S. and Giani G.P. (2012). In situ rockfall testing in new south Wales, Australia. International Journal of Rock Mechanics and Mining Sciences, 49, 84-93. https://doi.org/ 10.1016/j.ijrmms.2011.11.013
Tiwari D., Kandel S. and Thapa P. B. (2022). Assessment of Soil Erosion in Bhanu Municipality of Tanahun District, Western Nepal, Bulletin of Nepal Geological Society, 39, 125-129.
Varnes D.J. (1978). Landslides-Analysis and Control. National Academy of Sciences, Transportation Board Special Report, 176, 11-33.
Vijayakumar S., Yacoub T. and Curran J. (2011). A study of rock shape and slope irregularity on rock fall impact distance. 45th US rock mechanics/ Geomechanics symposium, 2011. American Rock Mechanics Association.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Nepal Society of Engineering Geology (NSEG)

This work is licensed under a Creative Commons Attribution 4.0 International License.