Stability of shallow karstic caverns in blocky rock masses

Hatzor, Yossef H.; Wainshtein, I.; Mazor, Dagan Bakun

doi:10.1016/j.ijrmms.2010.09.014

Cited by 54 publications

(13 citation statements)

References 24 publications

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“…With continuous modifications and improvements, twodimensional (2-D) DDA has been more efficient and suitable to cover practical engineering problems of rockfall, 4-7 landslide, [8][9][10][11][12][13][14][15][16] tunneling and mining, [17][18][19][20][21] cavern and underground opening, [22][23][24][25][26][27] masonry structure, [28][29][30] fracture propagation, 31,32 rock blasting [33][34][35] and many others. [36][37][38][39][40][41][42] However, the applications of 2-D DDA are inappropriate to many practical problems because the majority of discontinuities are not always perpendicular to the cross-section of the model.…”

Section: Introductionmentioning

confidence: 99%

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

Zou

Chen

Zheng

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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Section: Introductionmentioning

confidence: 99%

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

Zou

Chen

Zheng

et al. 2015

International Journal of Rock Mechanics and Mining Sciences

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“…This method has been applied to numerical simulations of many major projects in several fields . However, the DDA method has been proved to be time‐consuming for special cases, for example, computation of a notably large number of blocks , simulation of rock fracture and dynamic time‐history analysis of the blasting or seismic problem , which has greatly hindered the use of this method in the engineering simulations. Thus, improvement of the computational efficiency of the DDA method is critical and is the focus of this paper.…”

Section: Introductionmentioning

confidence: 99%

Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method

Sheng

Zhang

et al. 2015

Num Anal Meth Geomechanics

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Large-scale engineering computing using the discontinuous deformation analysis (DDA) method is timeconsuming, which hinders the application of the DDA method. The simulation result of a typical numerical example indicates that the linear equation solver is a key factor that affects the efficiency of the DDA method. In this paper, highly efficient algorithms for solving linear equations are investigated, and two modifications of the DDA programme are presented. The first modification is a linear equation solver with high efficiency. The block Jacobi (BJ) iterative method and the block conjugate gradient with Jacobi preprocessing (Jacobi-PCG) iterative method are introduced, and the key operations are detailed, including the matrix-vector product and the diagonal matrix inversion. Another modification consists of a parallel linear equation solver, which is separately constructed based on the multi-thread and CPU-GPU heterogeneous platforms with OpenMP and CUDA, respectively. The simulation results from several numerical examples using the modified DDA programme demonstrate that the Jacobi-PCG is a better iterative method for largescale engineering computing and that adoptive parallel strategies can greatly enhance computational efficiency. Figure 17. Parallel speedup factor of the discontinuous deformation analysis models with multi-thread and CPU-GPU platforms. 484X. FU ET AL.

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“…To account for the influence of jointing more directly, several investigators have used discontinuum analysis (i.e. the DEM or discontinuous deformation analysis (DDA) (Hatzor & Benary, 1998;Tsesarsky & Hatzor, 2006;Tsesarsky & Talesnick, 2007;Alejano et al, 2008;Bakun-Mazor et al, 2009;Barla et al, 2010;Hatzor et al, 2010) but, until now, these studies have been limited to simple contact models between rock joints. Talesnick et al (2007) measured the horizontal thrust and the vertical deflection of a voussoir beam subject to increasing levels of gravitational acceleration.…”

Section: Introductionmentioning

confidence: 99%

DEM modelling of a jointed rock beam with emphasis on interface properties

Boon¹,

Houlsby²,

Utili³

2015

Géotechnique Letters

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This paper compares analyses performed via the distinct element method (DEM), employing rigid blocks and compliant joints, with results using finite-difference software (FLAC) obtained previously by other researchers. The paper then examines the capability of the rigid-block DEM at modelling joints realistically, with emphasis on the moment transfer between blocks. The line of thrust from this analysis was found to fit well with the well-established uniform catenary curve and the parabola, which has been used extensively in the rock engineering literature. This is an important verification exercise that is still lacking in the literature, especially for the rigid-block DEM. Finally, a comparison is made between the DEM and experimental work carried out previously by other researchers. The previously reported laboratory data were reinterpreted to derive more accurate contact laws in both normal and shear directions. A strain hardening or continuously yielding model was adopted in the latter. The calibration approach is demonstrated. The numerical findings suggest that improved predictions of beam deflections can be obtained and the predicted horizontal thrusts are comparable to the results obtained by FLAC.

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Stability of shallow karstic caverns in blocky rock masses

Cited by 54 publications

References 24 publications

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

Detection of contacts between three-dimensional polyhedral blocks for discontinuous deformation analysis

Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method

DEM modelling of a jointed rock beam with emphasis on interface properties

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