Open-pit slope design using a DtN-FEM: Parameter space exploration

Durán, Mario; Godoy, E.; Catafau, Esteban Román; Toledo, Patricio

doi:10.1016/j.ijrmms.2021.104950

Cited by 3 publications

(4 citation statements)

References 20 publications

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“…Iron ore open pits have many problems as sociated with the development of the deposits and an increase in the depth of mining. The authors of [1] note that a steady decrease in the ore content in mineral deposits necessitates an increase in depth during openpit ore mining. Therefore, steeper angles of the quarry sides are designed, which increas es the risk of the slope instability and the development of slid ing processes.…”

Section: Introductionmentioning

confidence: 99%

“…The importance of accurately replicating the pit wall contour for further nu merical analysis encourages researchers to develop new ana lytical approaches to solving stability problems. In the work [1] mentioned above, the DirichletNeumann finite element method [10] is applied, where finite elements are used in com bination with the DtN mapping. The main advantage of this approach is that the DirichletNeumann map provides exact boundary conditions and solution continuity when crossing an artificial boundary.…”

Section: Introductionmentioning

confidence: 99%

“…An effective tool is mathematical, in particular, numerical modeling the stress strain state (SSS) of a rock mass. The most proven option for SSS analysis is the finite element method (FEM) [1,8,11], which provides considering all the features of the rock struc ture. Many authors note that real cases of slope collapse in quarries are associated precisely with unforeseen alteration in the rock mass structure.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical modeling the quarry wall stability under conditions of heavily jointed rocks

Aitkazinova¹,

Sdvyzhkova²,

Imansakipova³

et al. 2022

Nauk. visn. nat. hirn. univ.

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Purpose. To develop techniques for estimating the pit wall stability in terms of occurring of a zone of heavily jointed rock mass during ore mining at the Akzhal deposit (Kazakhstan), to work out measures to strengthen the rock opening and to verify the effectiveness of the developed measures. Methodology. The finite element analysis of the rock stress-strain state is implemented on the basis of the elastic-plastic model and the generalized Hoek-Brown failure criterion. The rock mass quality was assessed using the RMR and GSI rating classifications. This made it possible to simulate a zone of intense fracturing by changing the characteristics of the jointed surface. The shear strength reduction procedure was used to determine the safety factor for the quarry wall. Findings. The strain distributions in the rock mass forming the quarry wall have been obtained in terms of the Akzhal polymetallic ore deposit (Kazakhstan). The case of creating a zone of heavily jointed rocks in the area of a tectonic fault was considered. The safety factor of the quarry wall was determined under conditions of increased rock fracturing, as well as after carrying out measures to strengthen the rocks with a hardening solution. Originality. The effect of intense jointness on the pit wall stability is demonstrated. A method for the consistent evaluation of the quarry wall stability is proposed considering the change in the rock properties due to natural factors and artificial reinforcement. It is shown that a change in the joint surface quality due to the hardening injection reduces the shear strains in the sliding zone. Practical value. The pit wall stability was predicted considering the formation of a zone of intense fracturing under mining and geological conditions of the Akzhal deposit. The possibility of testing the effectiveness of rock strengthening measures based on mathematical modeling was shown.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mathematical modeling the quarry wall stability under conditions of heavily jointed rocks

Aitkazinova¹,

Sdvyzhkova²,

Imansakipova³

et al. 2022

Nauk. visn. nat. hirn. univ.

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“…A homogeneous, isotropic, and fully fractured rock-mass is mined with an open-pit having regular axisymmetric slope, fixed number of benches and overall slope height as well, whereas the overall-slope angle and bench-face angle are variable parameters. Regions of geomechanical stability/instability are thus determined in the parametric space by exploring Mohr-Coulomb failure criterion given the geometryinduced stress-field [3].…”

Section: Introductionmentioning

confidence: 99%

Open-pit slope design using a Dirichlet-to-Neumann Finite Element Method

Durán,

Godoy,

Toledo

Proceedings of the Eleventh International Conference on Engineering Computational Technology

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Given the sustained mineral-deposits ore-grade decrease, it becomes necessary to reach greater depths when extracting ore by open-pit mining. Steeper slope angles are thus likely to be required, leading to geomechanical instabilities. In order to determine excavation stability, mathematical modelling and numerical simulation are often used to compute the rock-mass stress-state, to which some stability criterion needs to be added. A problem with this approach is that the volume surrounding the excavation has no clear borders and in practice it might be regarded as an unbounded region. Then, it is necessary to use advanced methods capable of dealing efficiently with this difficulty. In this work, a Dirichlet-to-Neumann Finite Element Method (DtN-FEM) procedure is applied to calculate displacements and stresses in open-pit slopes under geostatic stress conditions. which was previously devised by the authors to numerically treat this kind of problems where the surrounding domain is semi-infinite. Its efficiency makes possible to simulate, in a short amount of time, multiple open-pit slope configurations. Therefore, the potentiality or this method for open-pit slope design is investigated. A regular open-pit slope geometry is assumed, parameterised by the overall-slope and bench-face angles. Multiple geometrically admissible slopes are explored, and their stability is assessed by using the computed stress-field and the Mohr-Coulomb failure criterion. Regions of stability and instability are thus explored in the parametric space, opening the way for a new and flexible designing tool for open-pit slopes and related problems.

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Sequential Dirichlet-to-Neumann coupling for the mixed-dimensional wave equation

Givoli,

Rabinovich

2024

Journal of Computational Physics

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Open-pit slope design using a DtN-FEM: Parameter space exploration

Cited by 3 publications

References 20 publications

Mathematical modeling the quarry wall stability under conditions of heavily jointed rocks

Mathematical modeling the quarry wall stability under conditions of heavily jointed rocks

Open-pit slope design using a Dirichlet-to-Neumann Finite Element Method

Sequential Dirichlet-to-Neumann coupling for the mixed-dimensional wave equation

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