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Analysis of Relationship between 2-D Fabric Tensor Parameters and Hydraulic Properties of Fractured Rock Mass

절리성 암반의 이차원 균열텐서 파라미터와 수리적 특성 간의 상관성 분석에 관한 연구

  • Received : 2017.04.11
  • Accepted : 2017.04.20
  • Published : 2017.04.30

Abstract

As a measure of the combined effect of fracture geometry, the fabric tensor parameters could quantify the status of the connected fluid flow paths in discrete fracture network (DFN). The correlation analysis between fabric tensor parameters and hydraulic properties of the 2-D DFN was performed in this study. It is found that there exists a strong nonlinear relationship between the directional conductivity and the fabric tensor component estimated in the direction normal to the direction of hydraulic conductivity. The circular radial plots without significant variation of the first invariant ($F_0$) of fabric tensor for different sized 2-D DFN block are a necessary condition for treating representative element volume (REV) of a fractured rock mass. The relative error (ER) between the numerically calculated directional hydraulic conductivity and the theoretical directional hydraulic conductivity decreases with the increase in $F_0$. A strong functional relation seems to exist between the $F_0$ and the average block hydraulic conductivity.

Keywords

Fractured rock mass;Fabric tensor;Discrete fracture network;Hydraulic properties;Numerical experiments

Acknowledgement

Supported by : 한국연구재단

References

  1. Han, J. and J. Um, 2015, Characteristics of block hydraulic conductivity of 2-D DFN system according to block size and fracture geometry, Tunnel & Underground Space (J. of Korean Society for Rock Mech.), 25, 450-461.
  2. Han, J. and J. Um, 2016a, Effect of joint orientation distribution on hydraulic behavior of the 2-D DFN system, Economic and Environmental Geology, 49, 31-41. https://doi.org/10.9719/EEG.2016.49.1.31
  3. Han, J. and J. Um, 2016b, Effect of joint aperture variation on hydraulic behavior of the 2-D DFN system, Tunnel & Underground Space (J. of Korean Society for Rock Mech.), 26, 283-292.
  4. Kulatilake, P.H.S.W., S. Wang and O. Stephansson, 1993, Effect of finite size joints on deformability of jointed rock at the three dimensional level, Int. J. Rock Mech. and Min. Sci., 30, 479-501. https://doi.org/10.1016/0148-9062(93)92216-D
  5. Kulatilake, P.H.S.W., H. Ucpirti and O. Stephansson, 1994, Effect of finite size joints on the deformability of jointed rock at the two dimensional level, Can. Geotech. J., 31, 364-374. https://doi.org/10.1139/t94-044
  6. Kulatilake, P.H.S.W., W. He, J. Um and H. Wang, 1997, A physical model study of jointed rock mass strength under uniaxial compressive loading, Int. J. Rock Mech. and Min. Sci., 34, 692-693. https://doi.org/10.1016/S1365-1609(97)00203-7
  7. Oda, M., 1982, Fabric tensor for discontinuous geologic materials, Soils and Foundations, 22, 96-108. https://doi.org/10.3208/sandf1972.22.4_96
  8. Oda, M., 1985, Permeability tensor for discontinuous rock mass, Geotechnique, 35, 483-495 https://doi.org/10.1680/geot.1985.35.4.483