Numerical Implementation of Anisotropic Continuum Model for Rock Masses

Samadhiya, N. K.; Viladkar, M.N.; Al-Obaydi, Moataz A.

doi:10.1061/(asce)1532-3641(2008)8:2(157)

Cited by 8 publications

(4 citation statements)

References 13 publications

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“…The axisymmetric plane stable seepage differential equation is obtained by combining formulas ( 9) and (10) and expressed in the cylindrical coordinate system:…”

Section: Seepage Field Calculationmentioning

confidence: 99%

“…On the stress and displacement of tunnel surrounding rock, some scholars mainly use elastic-plastic constitutive to analyze such problems. The main research methods include theoretical analysis method [6][7][8][9][10][11][12][13][14][15] and numerical simulation method [16][17][18][19][20]. In terms of theoretical analytical method, Liu et al [6] substituted the Hoek-Brown criterion into the equilibrium differential equation considering the influence of seepage volume force to solve it.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Surrounding Rock Pressure of Deep Buried Tunnel considering the Influence of Seepage

Yao

Xiao

et al. 2022

Geofluids

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This paper takes the surrounding rock of deep tunnel as the research object and considers the action mechanism under the influence of seepage. Based on the Mohr-Coulomb criterion, the stress mechanism of surrounding rock of deep buried tunnel is analyzed by a convergence constraint method. Based on the elastic-plastic solution, the nonlinear elastic-plastic solution of the interaction between surrounding rock and lining structure considering the effect of seepage force is proposed, and the radius of surrounding rock plastic zone is obtained. The relationship between surrounding rock stress and displacement, radial deformation of lining, and support reaction force was observed. At the same time, considering the effects of seepage, strain softening, and intermediate principal stress, the surrounding rock is divided into a plastic residual zone, plastic softening zone, and elastic zone, and the stress distribution expressions of the plastic zone and each zone of surrounding rock of circular tunnel are derived. The results show that with the change of nonuniform permeability coefficient, the seepage shows anisotropy in different directions, and the closer to the horizontal or vertical direction, the more obvious the influence of nonuniform permeability coefficient on pore water pressure distribution. Seepage and material softening have different effects on the distribution of surrounding rock stress field and the size of plastic zone. Material softening is more unfavorable to the stability of surrounding rock than seepage. The intermediate principal stress coefficient has a significant impact on the tangential stress and plastic zone of surrounding rock. When the intermediate principal stress effect is not considered, the calculation results are relatively conservative and cannot give full play to the strength of surrounding rock effectively. The research conclusion can provide a theoretical reference for studying the stability of surrounding rock in tunnel excavation under water-bearing rock.

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“…The axisymmetric plane stable seepage differential equation is obtained by combining formulas ( 9) and (10) and expressed in the cylindrical coordinate system:…”

Section: Seepage Field Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Surrounding Rock Pressure of Deep Buried Tunnel considering the Influence of Seepage

Yao

Xiao

et al. 2022

Geofluids

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“…Geomaterials are heterogeneous, and their thermal properties tend to be anisotropic, both of which vary with scale (Samadhiya et al 2008;Li et al 2020;Rodriguez-Dono et al 2023). The anisotropic behaviour of geomaterials can be attributed to various factors, such as depositional processes and the existence of pores and/or cracks (Mitchell and Soga 2005;Zhang et al 2022;Li et al 2023c), and heterogeneity is the primary source of anisotropy (Lake 1988;Nie et al 2023).…”

Section: Introductionmentioning

confidence: 99%

Scale dependency of anisotropic thermal conductivity of heterogeneous geomaterials

Li,

Chen,

Chen

2024

Bull Eng Geol Environ

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The precise determination of subsurface thermal properties is critical for ground-source heating systems. The geomaterials are inherently heterogeneous, and their thermal conductivity measured in laboratory and field tests often exhibits anisotropic behaviours. However, the accurate measurement of thermal responses in geomaterials presents a challenging task due to the anisotropy’s variation with the observed scale. Hence, a numerical method is developed in this work and illustrated by taking a typical anisotropic structure of geomaterials with the porosity of 0.5 as an example. The differences in data from laboratory measurements and field tests are discussed to explore the scale effect on anisotropic thermal properties. A series of simulation tests are conducted on specimens with varying dimensions using the finite element method. Results indicate that the thermal properties show a substantial sensitivity to the observation scale, the variation of which decreases with the sample dimensions. By comparing in situ data and laboratory results, the values of average thermal conductivity and corresponding anisotropy ratio are lower than those at small scales, indicating that careful consideration should be given to the thermal properties to account for heterogeneity and anisotropy. In addition, four upscaling schemes based on the averaging method are discussed. This study sheds light on the gap between the laboratory results and the field’s inherent properties and provides guidelines for upscaling small-scale results to field-scale applications.

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“…Email: agharazi@ualberta.ca behaviour. For more general cases of non-orthogonal joint sets, non-linear joint deformation and plastic deformation, more advanced equivalent continuum models were proposed by different authors, such as those by Wang and Huang (2009) and Samadhiya et al (2008) that can be used for numerical analysis of jointed rocks. Non-persistency of the joints can also be considered in the models developed by Singh (1973) and Cai and Horii (1993) based on the principles of composite mechanics and introduction of the so-called stress concentration tensor.…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional equivalent continuum constitutive model for jointed rock masses containing up to three random joint sets

Agharazi

Martin

Tannant

2012

Geomechanics and Geoengineering

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Numerical Implementation of Anisotropic Continuum Model for Rock Masses

Cited by 8 publications

References 13 publications

Analysis of Surrounding Rock Pressure of Deep Buried Tunnel considering the Influence of Seepage

Analysis of Surrounding Rock Pressure of Deep Buried Tunnel considering the Influence of Seepage

Scale dependency of anisotropic thermal conductivity of heterogeneous geomaterials

A three-dimensional equivalent continuum constitutive model for jointed rock masses containing up to three random joint sets

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