Digital Image Based Approach for Three-Dimensional Mechanical Analysis of Heterogeneous Rocks

  • S. Chen
  • Z. Q. Yue
  • L. G. Tham
Article
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Summary

This paper presents a digital image based approach for three-dimensional (3-D) numerical simulation and failure analysis of rocks by taking into account the actual 3-D heterogeneity. Digital image techniques are adopted to extract two-dimensional (2-D) material heterogeneity from material surface images. The 2-D image mesostructures are further extrapolated to 3-D cuboid mesostructures by assuming the material surface as a representation of the inner material heterogeneity within a very small depth. The iterative milling and scanning system is set up to generate the 3-D rock mesostructures. A Hong Kong granite specimen is used as an example to demonstrate the procedure of 3-D mesostructure establishment. The mechanical responses and failure process under the conventional Brazilian tensile test condition are examined through numerical analyses. The stress distribution, crack propagation process and failure model of heterogeneous material cases are simulated with a finite difference software. The numerical results indicate that material heterogeneity plays an important role in determining the failure behavior of rocks under external loading.

Keywords: Heterogeneous materials, rock, digital image processing, numerical simulation, finite difference method, and failure prediction. 
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References

  1. Canny, J. 1986A computational approach to edge detectionIEEE Trans. Pattern analysis and machine intelligence8679714CrossRefGoogle Scholar
  2. Chen, S., Yue, Z. Q., Tham, L. G., Lee, P. K. K. 2004aModeling of the indirect tensile test for inhomogeneous granite using a digital image-based numerical methodInt. J. Rock Mech. Min. Sci.41447447SINOROCK Paper No. 2B 01, CD ROMGoogle Scholar
  3. Chen, S., Yue, Z. Q., Tham, L. G. 2004bDigital image-based numerical modeling method for prediction of inhomogeneous rock failureInt. J. Rock Mech. Min. Sci.41939957CrossRefGoogle Scholar
  4. Cundall, P. A., Strack, O. D. L. 1979A discrete numerical model for granular assembliesGeotechnique294765CrossRefGoogle Scholar
  5. Fang, Z., Harrison, J. P. 2002aDevelopment of a local degradation approach to the modeling of brittle fracture in heterogeneous rocksInt. J. Rock Mech. Min. Sci.39443457CrossRefGoogle Scholar
  6. Fang, Z., Harrison, J. P. 2002bApplication of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditionsInt. J. Rock Mech. Min. Sci.39459476CrossRefGoogle Scholar
  7. Frost, J. D., McNeil, S. (1998): Proc., Second International Conference on Imaging Technologies: Techniques and Applications in Civil Engineering. A.S.C.E. Switzerland, 354.Google Scholar
  8. Frost, J. D., Wright, J. R. (1993): Proc., EF/NSF Conference on Digital Image Processing: Techniques and Applications in Civil Engineering. A.S.C.E. Hawaii, 301.Google Scholar
  9. Ichikawa, Y., Kawamura, K., Uesugi, K., Seo, Y. S., Fujii, N. 2001Micro- and macrobehavoir of granitic rock: observations and viscoelastic homogenization analysisComput. Methods Appl. Mech. Engng.1914772CrossRefGoogle Scholar
  10. Itasca (1997): FLAC3D Fast Lagrangian analysis of continua in 3 Dimensions, version 2.0. Itasca Consulting Group Inc, Minnesota.Google Scholar
  11. Kawakata, H., Cho, A., Yanagidani, T., Shimada, M. 2002The observations of faulting in westerly granite under triaxial compression by x-ray CT ScanInt. J. Rock Mech. Min. Sci.34375Google Scholar
  12. Konietzky, H. (2003): Numerical modeling in micromechanics via particle methods. In: Proc., First International PFC Symposium, Gelsenkirchen, Germany, November 2002, 321 pp.Google Scholar
  13. Li, L. (2001): Microscopic study and numerical simulation of the failure process of granite. Ph.D. thesis, Department of Civil Engineering, University of Hong Kong, Hong Kong.Google Scholar
  14. Liang, Z. Z., Tang, C. A., Li, H. X., Zhang, Y. B. (2004): Numerical simulation of the 3-D failure process in heterogeneous rocks. In: Hudson, J. A., Feng, X. T. (eds.). Proc., ISRM SINOROCK 2004 China.Google Scholar
  15. Plataniotis, K. N., Venetsanopoulos, A. N. 2002Color image processing and applicationsSpringerBerlin Heidelberg New York355Google Scholar
  16. Prewitt, J. M. S. 1970Object enhancement and extractionLipkin, B. S.Rosenfeld, A. eds. Picture processing and psychopictoricsAcademic PressNew YorkGoogle Scholar
  17. Roberts, L. G.,  et al. 1965Machine perception of three-dimensional solidsTippett, J. T. eds. Optical and electrooptical information processingMIT PressCambridge, MA159197Google Scholar
  18. Tang, C. A., Liu, H., Lee, P. K. K., Tsui, Y., Tham, L. G. 2000Numerical studies of the influence of microstructure on rock failure in uniaxial compression–part I: effect of heterogeneityInt. J. Rock Mech. Min. Sci.37555569CrossRefGoogle Scholar
  19. Vutukuri, V. S., Lama, R. D., Saluja, S. S. (1974): Handbook on mechanical properties of rocks, vol. II. Trans Tech, Clausthal.Google Scholar
  20. Yue, Z. Q., Chen, S., Tham, L. G. (2002): Digital image processing based finite element method for rock mechanics. In: Li, Y., Tang, C., Feng, X., Wang, S. (eds.) Proc., 2nd International Conference on New Developments in Rock Mechanics and Rock Engineering, Supplement. October 10–12, 2002, Shenyang, China. Rinton Press, Princeton, USA, 609–615.Google Scholar
  21. Yue, Z. Q., Chen, S., Tham, L. G. 2003aFinite element modeling of geomaterials using digital image processingComput. Geotech.30375397CrossRefGoogle Scholar
  22. Yue, Z. Q., Chen, S., Tham, L. G. (2003b): Seepage analysis in inhomogeneous geomaterials using digital image processing based finite element method. In: Proc., 12th Panamerican Conference for Soil Mechanics and Geotechnical Engineering and the 39th US Rock Mechanics Symposium, Soil and Rock America 2003. MIT, Boston, USA, June, 2003, 1297–1302.Google Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • S. Chen
    • 1
  • Z. Q. Yue
    • 1
  • L. G. Tham
    • 1
  1. 1.Department of Civil EngineeringThe University of Hong KongHong KongP.R. China

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