Analytical Models for Estimation of Slope Stability in Homogeneous Intact and Jointed Rock Masses with a Single Joint
Publication: International Journal of Geomechanics
Volume 17, Issue 10
Abstract
In the present paper two analytical models are proposed for the estimation of slope stability in homogeneous intact and jointed rock masses with strain-softening behavior and a single joint, as nonlinear functions of basic slope parameters (slope height H and angle β), and physicomechanical properties of rock mass (unit weight γ, peak cohesion c, peak friction angle φ, joint inclination α, joint cohesion cjoint, and joint friction angle φjoint). Research was performed using the Box-Behnken design, for which the input data were provided by stability analyses of different slopes using the shear strength reduction method. For intact rock masses, the safety factor is given as a function of H and β, γ, c, and φ, whereas cjoint, φjoint, and α, along with H and β, were also included for jointed rock masses with a single joint. Developed models provide reliable estimation of slope stability with high statistical accuracy and a small value of the predicted residual error sum of squares (PRESS) statistics. Robustness of developed models is verified against experimental modeling errors using a Monte Carlo simulation. Real-world application of the derived model for jointed rock mass is tested for a characteristic case from engineering practice.
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Acknowledgments
This research was partly supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (Contract No. 176016).
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Published In
International Journal of Geomechanics
Volume 17 • Issue 10 • October 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Sep 27, 2016
Accepted: May 10, 2017
Published online: Aug 2, 2017
Published in print: Oct 1, 2017
Discussion open until: Jan 2, 2018
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