Analysis of pyramidal block slide induced by seismic excitation

Abstract Rock blocks in a slope may slide due to seismic shaking. Whether the rock blocks will slide and what type of movement it will be depends on their geometric configuration, the degree and direction of shaking and interface friction. A situation where a block is enclosed by more than one joint or free surface perplexes the determination of the types of movement and the process of sliding during earthquake shaking. Based on the existing intersection set method, which determines the type of movement under static conditions for pyramidal blocks, this study extends the method to analyze the dynamic movement of a block. A scheme determining the possible types of movement and calculating the amount of movements due to seismic shaking of pyramidal blocks is proposed. Demonstration cases, showing sliding history of a block and checking whether installed rock bolts would fail after a particular earthquake, are presented. The results of case studies reveal that the conventional pseudo‐static analysis may yield a conservative engineering design. The limitation of the proposed method is also noted by predicting and comparing the rotating of a block using the proposed method and Discontinuous Deformation Analysis.

[1]  K. W. John Graphical Stability Analysis of Slopes in Jointed Rock , 1968 .

[2]  Qinghui Jiang,et al.  Validation of block theory and three-dimensional discontinuous deformation analysis as wedge stability analysis methods , 2003 .

[3]  W. Yoon,et al.  Kinematic analysis for sliding failure of multi-faced rock slopes , 2002 .

[4]  Jonathan D. Bray,et al.  Modeling of Particulate Media Using Discontinuous Deformation Analysis , 1995 .

[5]  P. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART II. MECHANICAL CALCULATIONS FOR MOTION AND INTERACTION OF A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[6]  Lin Gao,et al.  Static and dynamic stability analysis using 3D-DDA with incision body scheme , 2006 .

[7]  T. Crespellani,et al.  Earthquake destructiveness potential factor and slope stability , 1998 .

[8]  Richard J. Bathurst,et al.  Deterministic sliding block methods for estimating seismic displacements of earth structures , 1996 .

[9]  C. H. Juang,et al.  Vertex‐to‐face contact searching algorithm for three‐dimensional frictionless contact problems , 2005 .

[10]  Arley G Franklin,et al.  Earthquake Resistance of Earth and Rock-Fill Dams. Report 5. Permanent Displacements of Earth Embankments by Newmark Sliding Block Analysis. , 1977 .

[11]  Terry E. Tullis,et al.  The roles of time and displacement in the evolution effect in rock friction , 1994 .

[12]  홍성완,et al.  Developments in Geotechnical Engineering , 1995 .

[13]  Toshinori Kawabata,et al.  Seismic analysis of sliding wedge: extended Francais–Culmann's analysis , 1999 .

[14]  N. Newmark Effects of Earthquakes on Dams and Embankments , 1965 .

[15]  M. R. Yeung,et al.  A model of edge-to-edge contact for three-dimensional discontinuous deformation analysis , 2007 .

[16]  N. N. Ambraseys,et al.  Earthquake‐induced ground displacements , 1988 .

[17]  R. Goodman Block theory and its application , 1995 .

[18]  Richard E. Goodman,et al.  Block theory and its application to rock engineering , 1985 .

[19]  P. Warburton Vector stability analysis of an arbitrary polyhedral rock block with any number of free faces , 1981 .

[20]  R. Romeo Seismically induced landslide displacements: a predictive model , 2000 .

[21]  Hoe I. Ling,et al.  Rock sliding induced by seismic force , 1997 .

[22]  Pierre Londe,et al.  Stability of Rock Slopes, A Three-Dimensional Study , 1969 .

[23]  Richard E. Goodman,et al.  Generalization of two‐dimensional discontinuous deformation analysis for forward modelling , 1989 .

[24]  P. A. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART I. A SCHEME TO DETECT AND REPRESENT CONTACTS IN A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[25]  Bernard Amadei,et al.  Extensions of discontinuous deformation analysis for jointed rock masses , 1996 .

[26]  S. K. Sarma Seismic stability of earth dams and embankments , 1975 .

[27]  F. Jeng,et al.  Analysis of the kinematic stability of pyramidal blocks , 2004 .

[28]  Tien-Chien Chen,et al.  Pseudostatic analysis of Tsao-Ling rockslide caused by Chi-Chi earthquake , 2004 .

[29]  Radoslaw L. Michalowski,et al.  DISPLACEMENT CHARTS FOR SLOPES SUBJECTED TO SEISMIC LOADS , 1999 .

[30]  Ömer Aydan,et al.  Dynamic and Static Stability Assessment of Rock Slopes Against Wedge Failures , 2000 .

[31]  J. Gu Frictional resistance to accelerating slip , 1984 .

[32]  M. K. Yegian,et al.  Earthquake‐Induced Permanent Deformations: Probabilistic Approach , 1991 .

[33]  A. G. Rafek,et al.  Stability Analysis Of Rock Slopes Using Block Theory , 2010 .

[34]  E. Hoek,et al.  The stability of a rock slope containing a wedge resting on two intersecting discontinuities , 1973, Quarterly Journal of Engineering Geology.

[35]  Wai-Fah Chen,et al.  Limit analysis in soil mechanics , 1990 .