Skip to main content
SpringerLink
Log in

Development of a crack growth predictor for geomaterials using detrended fluctuation analysis and optical flow method

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

Several conventional methods like seismic, micro-seismic, acoustic, electromagnetic etc. have been proposed to investigate the crack initiation and growth in rocks during static and dynamic loading conditions. These conventional sensors are prone to acquire noise and moreover these methods do not provide comprehensive knowledge about failure process since data are collected at a few points attached to a rock sample. This paper presents the application of detrended fluctuation analysis method and optical flow method of image analysis for analyzing failure mechanism of rock specimen under uniaxial loading condition. Two predictors, normalized cumulative fluctuation coefficient (NCFC) and normalized cumulative standard deviation of strain (NCSS) have been developed for forecasting the same. Both the predictors are developed by analyzing consecutive image frames under incremental loading conditions and are found to be powerful markers for categorizing the crack initiation period, stable crack growth period and collapse period in the rock failure process. It is also obtained that NCFC and NCSS produce almost similar results even if they are derived using different image analysis concepts. Numerous laboratory experiments have been conducted to check the applicability of the both the predictors. Based on the experimental data, it is envisaged that both the predictors can be used as precursors for monitoring rock failure mechanism.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Blesić, S., Milošević, S., Stratimirović, D., Ljubisavljević, M.: Detrended fluctuation analysis of time series of a firing fusimotor neuron. Physica A: Stat. Mech. Its Appl. 268(3), 275–282 (1999)

    Article  Google Scholar 

  2. Dautriat, J., Bornert, M., Gland, N., Dimanov, A., Raphanel, J.: Localized deformation induced by heterogeneities in porous carbonate analysed by multi-scale digital image correlation. Tectonophysics 503(1), 100–116 (2011)

    Article  Google Scholar 

  3. Deb, D.: Finite Element Methods Concepts And Applications In Geomechanics. PHI Learning Pvt. Ltd, New Delhi (2006)

    Google Scholar 

  4. Gu, G.F., Zhou, W.X.: Detrended fluctuation analysis for fractals and multifractals in higher dimensions. Phys. Rev. E 74(6), 061–104 (2006)

    Article  Google Scholar 

  5. Hao, S., Wang, H., Xia, M., Ke, F., Bai, Y.: Relationship between strain localization and catastrophic rupture. Theor. Appl. Fract. Mech. 48(1), 41–49 (2007)

    Article  Google Scholar 

  6. Hao, S.W., Xia, M.F., Ke, F.J., Bai, Y.L.: Evolution of localized damage zone in heterogeneous media. Int. J. Damage Mech. 19(7), 787–804 (2010)

    Article  Google Scholar 

  7. Hardstone, R., Poil, S.S., Schiavone, G., Jansen, R., Nikulin, V.V., Mansvelder, H.D., Linkenkaer-Hansen, K.: Detrended fluctuation analysis: a scale-free view on neuronal oscillations. Front. Physiol. 3, 1–13 (2012)

  8. Kantelhardt, J.W., Koscielny-Bunde, E., Rego, H.H., Havlin, S., Bunde, A.: Detecting long-range correlations with detrended fluctuation analysis. Physica A: Stat. Mech. Its Appl. 295(3), 441–454 (2001)

  9. Klonowski, W.: Signal and image analysis using chaos theory and fractal geometry. Mach. Graph. Vis. 9(1/2), 403–432 (2000)

    Google Scholar 

  10. Lee, J.M., Kim, D.J., Kim, I.Y., Park, K.S., Kim, S.I.: Detrended fluctuation analysis of eeg in sleep apnea using mit/bih polysomnography data. Comput. Biol. Med. 32(1), 37–47 (2002)

    Article  MathSciNet  Google Scholar 

  11. Lee, J.M., Kim, D.J., Kim, I.Y., Kim, S.I.: Nonlinear-analysis of human sleep eeg using detrended fluctuation analysis. Med. Eng. Phys. 26(9), 773–776 (2004)

    Article  Google Scholar 

  12. Leplay, P., Réthoré, J., Meille, S., Baietto, M.C.: Identification of damage and cracking behaviours based on energy dissipation mode analysis in a quasi-brittle material using digital image correlation. Int. J. Fract. 171(1), 35–50 (2011)

  13. Liu, H., Li, F., Lu, H.: Imaging air quality evaluation using definition metrics and detrended fluctuation analysis. In: 2010 IEEE 10th International Conference on Signal Processing (ICSP), pp. 968–971, IEEE (2010)

  14. Lucas, B.D., Kanade, T., et al.: An iterative image registration technique with an application to stereo vision. IJCAI 81, 674–679 (1981)

    Google Scholar 

  15. Pan, B., Qian, K., Xie, H., Asundi, A.: Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas. Sci. Technol. 20(6), 062,001 (2009)

    Article  Google Scholar 

  16. Peng, C.K., Havlin, S., Stanley, H.E., Goldberger, A.L.: Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos: an Interdisciplinary. J. Nonlinear Sci. 5(1), 82–87 (1995)

    Google Scholar 

  17. Song, H., Zhang, H., Fu, D., Kang, Y., Huang, G., Qu, C., Cai, Z.: Experimental study on damage evolution of rock under uniform and concentrated loading conditions using digital image correlation. Fatigue Fract. Eng. Mater. Struct. 36(8), 760–768 (2013)

  18. Yeh, R.G., Shieh, J.S., Han, Y.Y., Wang, Y.J., Tseng, S.C.: Detrended fluctuation analyses of short-term heart rate variability in surgical intensive care units. Biomed. Eng.: Appl. Basis Commun. 18(02), 67–72 (2006)

    Google Scholar 

  19. Yeh, R.G., Lin, C.W., Abbod, M.F., Shieh, J.S.: Two-dimensional matrix algorithm using detrended fluctuation analysis to distinguish burkitt and diffuse large b-cell lymphoma. Comput. Math. Methods Med. 2012, 1–8 (2012)

  20. Zhang, Z.F., Kang, Y.L., Wang, H.W., Qin, Q.H., Qiu, Y., Li, X.Q.: A novel coarse-fine search scheme for digital image correlation method. Measurement 39(8), 710–718 (2006)

    Article  Google Scholar 

  21. Zmeškal, O., Veselỳ, M., Nežádal, M., Buchníček, M.: Fractal analysis of image structures. Harmon. Fract. Image Anal. 3–5 (2001)

Download references

Author information

Authors and Affiliations

  1. Advanced Technology Development Center, Indian Institute of Technology, Kharagpur, Kharagpur, 721 302, India

    Sudipta Bhattacharjee

  2. Mining Engineering Department, Indian Institute of Technology, Kharagpur, Kharagpur, 721 302, India

    Debasis Deb

Authors
  1. Sudipta Bhattacharjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Debasis Deb
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Debasis Deb.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bhattacharjee, S., Deb, D. Development of a crack growth predictor for geomaterials using detrended fluctuation analysis and optical flow method. SIViP 10, 121–128 (2016). https://doi.org/10.1007/s11760-014-0711-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11760-014-0711-y

Keywords

Search

Navigation