A new rock slicing method based on linear programming

Boon, Chia Weng; Houlsby, G. T.; Utili, Stefano

doi:10.1016/j.compgeo.2014.11.007

Cited by 30 publications

(27 citation statements)

References 40 publications

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“…The linear programming optimization approach introduced by Boon et al greatly simplifies how block cutting is implemented and how each block is represented in terms of data structure. We give only a brief overview of this rock cutting algorithm since the details are presented in [9].…”

Section: Block Cutting Algorithmmentioning

confidence: 99%

“…Additionally, we take advantage of two major optimizations to the block cutting process that are presented in [9]. The first optimization draws on an idea common to contact detection in particle methods (for example, see [12]): the complex geometry of the polyhedral blocks is enclosed in a simpler shape, in this case a bounding sphere.…”

Section: Block Cutting Algorithmmentioning

confidence: 99%

“…The block cutting algorithm uses a sequential subdivision approach based on linear programming optimization introduced by Boon et al [9]. Each discontinuity is introduced individually and checked for intersection.…”

Section: Block Cutting Algorithmmentioning

confidence: 99%

“…These techniques are able to deal with complex geometry, but require a significant amount of ''bookkeeping" when implemented. Recently, Boon et al [9] presented a block cutting algorithm that is based entirely on linear programming. Instead of explicitly calculating the vertices where the discontinuities intersect, the problem is cast as a linear programming optimization.…”

Section: Introductionmentioning

confidence: 99%

“…The application runs on Apache Spark which enables it to run locally, on a compute cluster or the Cloud. The block generation is based on a subdivision and linear programming optimization as introduced by Boon et al (2015). SparkRocks automatically maintains load balance among parallel processes and can be scaled up on the Cloud without having to make any changes to the underlying implementation, enabling it to generate real-world scale block systems containing millions of blocks in minutes.…”

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confidence: 99%

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Parallel and scalable block system generation

Gardner

Kolb

Sitar

2017

Computers and Geotechnics

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a b s t r a c tGenerating a realistic representation of a fractured rock mass is a first step in many different analyses. Field observations need to be translated into a 3-D model that will serve as the input for these analyses. The block systems can contain hundreds of thousands to millions of blocks of varying sizes and shapes; generating these large models is very computationally expensive and requires significant computing resources.By taking advantage of the advances made in big data analytics and Cloud Computing, we have a developed an open-source program-SparkRocks-that generates block systems in parallel. The application runs on Apache Spark which enables it to run locally, on a compute cluster or the Cloud. The block generation is based on a subdivision and linear programming optimization as introduced by Boon et al. (2015). SparkRocks automatically maintains load balance among parallel processes and can be scaled up on the Cloud without having to make any changes to the underlying implementation, enabling it to generate real-world scale block systems containing millions of blocks in minutes.

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Section: Block Cutting Algorithmmentioning

confidence: 99%

Section: Block Cutting Algorithmmentioning

confidence: 99%

Section: Block Cutting Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Parallel and scalable block system generation

Gardner

Kolb

Sitar

2017

Computers and Geotechnics

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Investigation of rock fragmentation during rockfalls and rock avalanches via 3‐D discrete element analyses

et al. 2017

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This paper investigates the characteristics of dynamic rock fragmentation and its influence on the postfailure fragment trajectory. A series of numerical simulations by discrete element method (DEM) were performed for a simple rock block and slope geometry, where a particle agglomerate of prismatic shape is released along a sliding plane and subsequently collides onto a flat horizontal plane at a sharp kink point. The rock block is modeled as an assembly of bonded spherical particles with fragmentation arising from bond breakages. Bond strength and stiffness were calibrated against available experimental data. We analyzed how dynamic fragmentation occurs at impact, together with the generated fragment size distributions and consequently their runout for different slope topographies. It emerges that after impact, the vertical momentum of the granular system decreases sharply to nil, while the horizontal momentum increases suddenly and then decreases. The sudden boost of horizontal momentum can effectively facilitate the transport of fragments along the bottom floor. The rock fragmentation intensity is associated with the input energy and increases quickly with the slope angle. Gentle slopes normally lead to long spreading distance and large fragments, while steep slopes lead to high momentum boosts and impact forces, with efficient rock fragmentation and fine deposits. The fragment size decreases, while the fracture stress and fragment number both increase with the impact loading strain rate, supporting the experimental observations. The fragment size distributions can be well fitted by the Weibull's distribution function.

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Dynamic Fragmentation of Jointed Rock Blocks During Rockslide‐Avalanches: Insights From Discrete Element Analyses

et al. 2018

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The dynamic fragmentation of jointed rock blocks during rockslide avalanches has been investigated by discrete element method simulations for a multiple arrangement of a rock block sliding over a simple slope geometry. The rock blocks are released along an inclined sliding plane and subsequently collide onto a flat horizontal plane at a sharp kink point. The contact force chains generated by the impact appear initially at the bottom frontal corner of the rock block and then propagate radially upward to the top rear part of the block. The jointed rock blocks exhibit evident contact force concentration and discontinuity of force wave propagation near the joint, associating with high energy dissipation of granular dynamics. The corresponding force wave propagation velocity can be less than 200 m/s, which is much smaller than that of an intact rock (1,316 m/s). The concentration of contact forces at the bottom leads to high rock fragmentation intensity and momentum boosts, facilitating the spreading of many fine fragments to the distal ends. However, the upper rock block exhibits very low rock fragmentation intensity but high energy dissipation due to intensive friction and damping, resulting in the deposition of large fragments near the slope toe. The size and shape of large fragments are closely related to the orientation and distribution of the block joints. The cumulative fragment size distribution can be well fitted by the Weibull's distribution function, with very gentle and steep curvatures at the fine and coarse size ranges, respectively. The numerical results of fragment size distribution can match well some experimental and field observations.

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A new rock slicing method based on linear programming

Cited by 30 publications

References 40 publications

Parallel and scalable block system generation

Parallel and scalable block system generation

Investigation of rock fragmentation during rockfalls and rock avalanches via 3‐D discrete element analyses

Dynamic Fragmentation of Jointed Rock Blocks During Rockslide‐Avalanches: Insights From Discrete Element Analyses

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