Accuracy Evaluation of Rock Mass Deformation Analysis under Various Jointing Configurations using Equivalent Continuum Concept

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Mazraehli Masoud; Salarirad Hossein; Fathipour Azar Hadi

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Journal: JOURNAL OF ANALYTICAL AND NUMERICAL METHODS IN MINING ENGINEERING Year:2019 | Volume:9 | Issue:19 Page(s): 17-35

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Title

Accuracy Evaluation of Rock Mass Deformation Analysis under Various Jointing Configurations using Equivalent Continuum Concept

Author(s)

Mazraehli Masoud | Salarirad Hossein | Fathipour Azar Hadi | Issue Writer Certificate

Keywords

Jointed rock mass

deformability

equivalent continuum media

discrete element method

Abstract

Summary: This work is aimed to investigate the effects of joints configuration in a rock mass on validity of the deformation values obtained using equivalent continuum approach. For this purpose, discrete element method is utilized to numerically model complicated joint configuration comparing to in-built assumptions of equivalent continuum equations. Then, deformation components obtained by equivalent continuum solutions were compared with the results of discrete element numerical analyses and in-situ tests to demonstrate the effect of geometric parameters. Finally, these results are provided to evaluate validity of equivalent continuum relations in deformation analysis of non-orthotropic rock masses, unlike their assumptions. Introduction: There are two different techniques to determine deformation behavior of Jointed rock masses: direct and indirect methods. Direct methods include laboratory tests on rock specimens and in situ tests on field rock masses. The overall characteristics of large-scale rocks are often not available through direct measurements due to lack of time and financial resources. Indirect methods consist of empirical correlations, analytical solutions and numerical modelling. Empirical methods are based on correlation between rock mass deformability and its classification indices such as rock quality designation (RQD), rock mass rating (RMR) and geological strength index (GSI). In spite of their simplicity, it is not possible to capture anisotropic and scale-dependent behavior of rock mass using empirical techniques. Analytical or closed-form methods consider rock mass as an equivalent continuum in which the deformation is the sum of deformation of the intact rock and deformation of the joint sets. These solutions are digest and simple, and only can be used to analyze deformation of regularly jointed rocks. Most of them are inapplicable when dealing with irregular joint systems which are more common in nature. On the other hand, numerical modelling is advantageous to study the effect of joint sets configuration on deformation behavior of a Jointed rock mass, and can be used to determine the accuracy of closed-form deformation analysis of irregularly Jointed rock masses. Methodology and Approaches: For analysis purposes, the applicability of equivalent continuum approaches in estimating deformation behavior of rock masses with three intersecting joint sets was studied. Two different cases were considered, namely, deviation of the intersection angle and dip direction of the second joint set. 3DEC software contains several different behavior models for intact rock in which one or more of them can be used depending on governing assumptions. According to analytical approaches, isotropic elastic and Coulomb slip models were assigned to intact rock and joints, respectively. Note that joints were prevented to deform plastically because the purpose was to study the elastic deformation of Jointed rock masses using both analytical and numerical analysis. Results and Conclusions: According to the obtained results, following conclusions can be reported for the conducted study: Axial analytical and numerical deformation values have a high sensitivity to intersection angle but there is no evidence to know how they change with this parameter. Further deviation of intersection angle results in increasing difference of numerical and analytical lateral deformation in the direction perpendicular to intersecting joint sets. Low discrepancies were recorded for lateral strains parallel to intersecting joint sets strike while changing intersection angle. Therefore, it can be concluded that the application of equivalent continuum method to estimate this component would be somehow accurate. The effect of dip angle of intersecting joint sets is not considered in the non-orthotropic equivalent continuum approach. However, results generally show a considerable effect of this parameter on the discrepancy of analytical and numerical values. Differences between analytical and numerical deformation results show that changing the dip direction does not significantly affect the results, but applicability of the corresponding equivalent continuum solution is questionable in some cases. Application of analytical equation for axial strain estimation is not recommended when dip angle of intersecting joint sets has a dominant contribution to deformation. In the case of dip direction deviation, lateral strain estimation parallel to joints strike through the corresponding analytical solution has an acceptable accuracy.

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APA: Copy

Mazraehli, Masoud, Salarirad, Hossein, & Fathipour Azar, Hadi. (2019). Accuracy Evaluation of Rock Mass Deformation Analysis under Various Jointing Configurations using Equivalent Continuum Concept. JOURNAL OF ANALYTICAL AND NUMERICAL METHODS IN MINING ENGINEERING, 9(19 ), 17-35. SID. https://sid.ir/paper/266106/en

Vancouver: Copy

Mazraehli Masoud, Salarirad Hossein, Fathipour Azar Hadi. Accuracy Evaluation of Rock Mass Deformation Analysis under Various Jointing Configurations using Equivalent Continuum Concept. JOURNAL OF ANALYTICAL AND NUMERICAL METHODS IN MINING ENGINEERING[Internet]. 2019;9(19 ):17-35. Available from: https://sid.ir/paper/266106/en

IEEE: Copy

Masoud Mazraehli, Hossein Salarirad, and Hadi Fathipour Azar, “Accuracy Evaluation of Rock Mass Deformation Analysis under Various Jointing Configurations using Equivalent Continuum Concept,” JOURNAL OF ANALYTICAL AND NUMERICAL METHODS IN MINING ENGINEERING, vol. 9, no. 19 , pp. 17–35, 2019, [Online]. Available: https://sid.ir/paper/266106/en

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