Energy Catastrophe of Jointed Rock Slope Considering Spatiotemporal Variability of Strength
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ORIGINAL PAPER
Energy Catastrophe of Jointed Rock Slope Considering Spatiotemporal Variability of Strength Yuan Chang . Laishan Chang . Fuqiang Ren
Received: 14 September 2020 / Accepted: 16 November 2020 Ó Springer Nature Switzerland AG 2020
Abstract The spatiotemporal variability of rock mass strength for jointed rock mass is crucial for the stability of open-pit mine slopes. The Dagushan Openpit Iron Mine was taken as the background to systematically study the unloading damage and energy evolution of high slope jointed rock mass. Through a field survey of mixed rock slope and fuzzy C-means clustering optimization analysis, the random distribution parameters of two dominant joint sets of rock mass were determined, and a three-dimensional joint network of rock mass was reconstructed. Additionally, a numerical analysis method is proposed for the energy evolution of jointed rock mass considering the spatiotemporal variation of strength, and the variation trends of gravity potential energy, elastic strain energy, and dissipation energy of jointed rock slope were analyzed. Moreover, based on the cusp catastrophe theory, an energy criterion was established for jointed rock mass slope instability. Furthermore, the
Y. Chang F. Ren (&) School of Civil Engineering, University of Science and Technology Liaoning, Anshan 114051, China e-mail: [email protected] L. Chang School of Mining Engineering, University of Science and Technology Liaoning, Anshan 114051, China F. Ren State Key Laboratory for Geomechanics and Deep Underground Engineering, Beijing 100083, China
energy evolution mechanism of deformation and failure of jointed rock slope under mining was elucidated. The slope safety factor obtained from the energy cusp catastrophe dissipation energy cusp catastrophe is the same as that obtained from the limit equilibrium Janbu method. Keywords Jointed rock slope Spatiotemporal variation strength Energy cusp catastrophe Janbu method List of Symbols r1, r2,r3 Maximum, intermediate and minimal principal stress rci Uniaxial compression strength of the intact rock r1f Rock mass strength m, s, a Material constants of the rock mass mi m Value of the intact rock D Disturbance coefficient GSI Geological strength index d0, d Initial damage and damage variable X Damage tensor V Volume of rock mass N Number of joints a k, n k Area and normal vector of the kth joint l Interval of the fracture surface Hc Fuzzy entropy index Fc Classification coefficient
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Geotech Geol Eng
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Fuzzy hypervolume Average partition density Diameter of the joint disc Chord length of the joint disc Cohesion and internal friction angle of joint Total input energy, elastic strain energy and dissipation energy Elastic strain in the principal stress direction Elastic modulus and Poisson ratio Elastic modulus of the jointed rock mass Increment of gravitational potential energy, elastic strain energy, kinetic energy, and di
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