A universal elliptical disc (UED) model to represent natural rock fractures

Zheng, Jinhai; Guo, Jichao; Wang, Jiongchao; Sun, Honglei; Deng, Jiang; Lv, Qing

doi:10.1016/j.ijmst.2021.12.001

Cited by 36 publications

(6 citation statements)

References 37 publications

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“…Based on the distribution and the maximum and minimum values of spacing, trace length, and bridge length, the random numbers are automatically generated by the Monte Carlo method, as shown in Figure 3, and stored in the matrix u[p][q], where p and q satisfy Equation (17).…”

Section: Chain Splicing Algorithm For Dfn Modelingmentioning

confidence: 99%

“…However, the disc model is equal‐dimensional in all directions and cannot represent the anisotropic behavior of joints. Therefore, scholars have proposed the elliptical model based on the disc model that can reflect the anisotropic characteristics of joints 14–17 . Compared with the disc model, the elliptical model uses two parameters to reflect the trace length of joints in different directions and can achieve higher accuracy 6 .…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, scholars have proposed the elliptical model based on the disc model that can reflect the anisotropic characteristics of joints. [14][15][16][17] Compared with the disc model, the elliptical model uses two parameters to reflect the trace length of joints in different directions and can achieve higher accuracy. 6 However, the actual joint shape in nature is diverse, and the modeling results will be significantly different from the different joint models.…”

mentioning

confidence: 99%

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A precise modeling method of three‐dimensional discrete fracture network based on rectangular joint model

Kang,

Fu,

Sheng

et al. 2024

Num Anal Meth Geomechanics

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As the weak structure and main seepage channel of rock mass, the discrete fracture network (DFN) has a significant influence on the physical and mechanical properties of rock mass. In this paper, based on the rectangular joint model, two algorithms are proposed to realize the precise modeling of the DFN in any polyhedron. First, the equivalence of DFN modeling with the rectangular joint model and the elliptical joint model is theoretically deduced. On this basis, the chain splicing algorithm suitable for the rectangular joint model is proposed, which can generate the DFN model according to the actual distribution of joint spacing, trace, and bridge length. Aiming at the concave boundary in the model domain, the segmentation‐stitching operation is put forward, and the continuity of the joint when passing through the interface is ensured. Finally, the effectiveness of the above algorithm is verified by several simple cases, and the relationship between the size of the geometrical representative elementary volume (REV) and discontinuity parameters is discussed. The results show that when the mean values of the joint distribution parameters are the same, even if the distribution rules are different, the number of joints generated in the same spatial region is approximately equal. The size of the geometrical REV is independent of the spacing and bridge length and is approximately three to five times the mean of the trace. The relevant algorithms and conclusions in this paper can be used as the basis for subsequent rock mass stability analysis and seepage calculation.

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Section: Chain Splicing Algorithm For Dfn Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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A precise modeling method of three‐dimensional discrete fracture network based on rectangular joint model

Kang,

Fu,

Sheng

et al. 2024

Num Anal Meth Geomechanics

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“…The conventional Baecher disc model parameters encompass the centroid location, diameter, dip direction, dip angle, and discontinuity density. The UED model introduces three additional parameters: the major axis length, the ratio of the major to minor axis, and the rotation angle, endowing the UED model with enhanced versatility in capturing complex rock fracture geometries [3,4]. The forthcoming sections of this paper discuss the principles and procedural steps of the advocated approach.…”

Section: Universal Elliptical Disc (Ued) Modelmentioning

confidence: 99%

“…The task of depicting rock discontinuities via a 3D DFN has been extensively explored, with many studies utilizing the Baecher circular disc model [1] for its mathematical simplicity and computational efficiency. However, this model struggles to accurately simulate slender fractures or joints of complex shapes [2], impacting the precise evaluation of slope seepage and stability [3,4]. To overcome these shortcomings, alternative models have been proposed, such as the parallelogram-based model [5], the polygon-based model [6], and the rectangle-based model [7], each offering improved flexibility in representing the intricate shapes of rock fractures.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Jointed Rock Slopes Based on the Universal Elliptical Disc Model

Jiang,

Chen,

Huang

2024

IOP Conf. Ser.: Earth Environ. Sci.

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A discrete fracture network (DFN) represents the random distribution of fractures within rock masses in three dimensions and has been widely used in the stability analysis of jointed rock slopes. This study introduces a novel method for constructing three-dimensional DFN models to address the limitations of traditional circular or polygon-based models. This method employs the universal elliptical disc (UED) model, combined with the discrete element method (DEM) in 3DEC, for the probabilistic analysis of jointed rock slope stability. The paper begins with an explanation of the fundamental principles of the UED model, and continues to detail the procedures for creating a three-dimensional DFN using the UED model and for analyzing slope stability using the DEM. An open-pit mine rock slope in the USA serves as a case study to illustrate the application of the proposed method. This approach facilitates the integration of the UED model into 3DEC and offers a more realistic depiction of the three-dimensional DFN, which enhances both the accuracy and efficiency of stability analysis in jointed rock slopes.

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Semi‐automatic identification of discontinuity parameters in rock masses based on Unmanned Aerial Vehicle photography

Chen,

Hao,

Wang

et al. 2023

Geological Journal

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Efficient and accurate extraction of discontinuity geometric parameters is significant for evaluating the stability and seepage characteristics of a rock mass. Traditional means of rock discontinuity measurement are susceptible to the influence of terrain and have issues such as high operational workload and low efficiency. An approach was proposed to comprehensively and efficiently obtain the geometric parameter information of the discontinuity, using an Unmanned Aerial Vehicle (UAV), which consists of the following five procedures: (1) measurement of a rock slope with UAV, (2) creation of three‐dimensional (3D) point cloud model for the slope, (3) voxel filtering of point cloud data, (4) planar segmentation based on modified region growing (MRG) algorithm, and (5) acquisition of parameter set of the discontinuity (orientation, trace length, and spacing). A new code, FacetDetect, has been developed based on this method to identify discontinuity from a 3D point cloud. Meanwhile, the trace length and spacing are calculated by the code written in Python. A comparison with the three‐point method reveals that most errors are less than 3° for dip angles and dip directions. These deviations are reasonable and confirm the reliability of the method. Overall, this method is a valuable reference for automatic discontinuity interpretation and related fields.

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A universal elliptical disc (UED) model to represent natural rock fractures

Cited by 36 publications

References 37 publications

A precise modeling method of three‐dimensional discrete fracture network based on rectangular joint model

A precise modeling method of three‐dimensional discrete fracture network based on rectangular joint model

Stability Analysis of Jointed Rock Slopes Based on the Universal Elliptical Disc Model

Semi‐automatic identification of discontinuity parameters in rock masses based on Unmanned Aerial Vehicle photography

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