Skip to main content
Log in

Automatic detection of seismic phases using variance fractal-dimension trajectory

  • Published:
Geosciences Journal Aims and scope Submit manuscript

Abstract

Seismic refraction signals in crustal surveys are often contaminated by various types of noise mainly due to low-signal/noise Earth environments. A variance fractal-dimension technique is investigated and applied to real data sets for detection of seismic refraction signals from background noise. The sharpness of transition features on the variance fractal-dimension trajectory was used as a criterion for distinguishing the seismic signals, and a window size of 48 samples and a window spacing of 8 sample intervals were chosen to calculate the fractal dimensions and to create the trajectories for subsequent tests and detection of phases Pg, Pn, PmP, and ground roll. The real data tested in this study were obtained from the 1992 Abitibi—Grenville Lithoprobe high-resolution refraction and wide-angle reflection experiments. The transition criterion provides a robust and powerful tool for separating the real seismic-refraction signals from the background noise. In the case of Pg phase from the refraction profile fan-shot ab2, the variance fractal-dimensions are generally smaller for the refraction signals (≈1.25) compared to the background noise (≈1.75).

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Boschetti, F., Dentith, M.D. and List, R.D.., 1996, A fractal-based algorithm for detecting first arrivals on seismic traces. Geophysics, 61, 1095–1102.

    Article  Google Scholar 

  • Crossley, D.J. and Jensen, O.G., 1989, Fractal velocity models in refraction seismology. Pure and Applied Geophysics, 131, 62–76.

    Article  Google Scholar 

  • Earle, P.S. and Shearer, P.M., 1994, Characterization of global seismograms using an automatic-picking algorithm. Bulletin of the Seismological Society of America, 84, 366–376.

    Google Scholar 

  • Gelchinsky, B. and Shtivelman, V., 1983, Automatic picking of first arrivals and parameterization of traveltime curves. Geophysical Prospecting, 31, 915–928.

    Article  Google Scholar 

  • Godano, C., Alonzo, M.L. and Bottari, A., 1996, Multifractal analysis of the spatial distribution of earthquakes in southern Italy. Geophysical Journal International, 125, 901–911.

    Article  Google Scholar 

  • Gregotski, M.E., Jensen, O. and Arkani-Hamed, J., 1991, Fractal stochastic modeling of aeromagnetic data. Geophysics, 56, 1706–1715.

    Article  Google Scholar 

  • Grieder, W.S., 1996, Variance Fractal Dimension for Signal Feature Enhancement and Segmentation from Noise. M.S. thesis, University of Manitoba, Winnipeg, 84 p.

    Google Scholar 

  • Grieder, W. and Kinsner, W., 1994, Speech segmentation by variance fractal dimension. The 1994 Canadian Conference on Electrical and Computer Engineering (Proceeding II), Halifax (Canada), September, p. 481–485.

  • Irving, R., Asudeh, I., Forsyth, D., Mereu, R., Kohler, W. and Working Group, 1993, 1992 LITHOPROBE Abitibi—Grenville seismic refraction survey: acquisition and processing report. Lithoprobe Report #30, 289 p.

  • Jiao, L., Moon, W. and Kinsner, W., 1997, Variance fractal dimension analysis of seismic refraction signals. IEEE WESCANEX 97 Conference on Communications, Power and Computing (Proceeding), Winnipeg, May, p. 116–120.

  • Kinsner, W., 1996, Fractal and Chaos Engineering (Lecture Note). Department of Electrical and Computer Engineering (University of Manitoba), 162 p.

  • Maus, S. and Dimri, V.P., 1994, Scaling properties of potential fields due to scaling sources. Geophysical Research Letters, 21, 891–894.

    Article  Google Scholar 

  • Moriya, H. and Niitsuma, H., 1996, Precise detection of a P-wave in low S/N signal by using time-frequency representations of a triaxial hodogram. Geophysics, 61, 1453–1466.

    Article  Google Scholar 

  • Murat, M.E. and Rudman, A.J., 1992, Automated first arrival picking: a neural network approach. Geophysical Prospecting, 40, 587–604.

    Article  Google Scholar 

  • Pilkington, M. and Todoeschuck, J.P., 1993, Fractal magnetization of continental crust. Geophysical Research Letters, 20, 627–630.

    Article  Google Scholar 

  • Pisarenko, V.F., Kushnir, A.F. and Savin, I.V., 1987, Statistical adaptive algorithm for estimation of onset moments of seismic phases. Physics of Earth and Planet Interiors, 47, 4–10.

    Article  Google Scholar 

  • Robertson, M.C. and Sammis, C.G., 1995, Fractal analysis of three-dimensional spatial distributions of earthquakes with a percolation interpretation. Journal of Geophysical Research, 100, 609–620.

    Article  Google Scholar 

  • Todoeschuck, J.P. and Jensen, O.G., 1998, Joseph geology and seismic deconvolution. Geophysics, 53, 1410–1414.

    Article  Google Scholar 

  • Turcotte, D.L., 1986, Fractals fragmentation. Journal of Geophysical Research, 91, 1921–1926.

    Article  Google Scholar 

  • Turcotte, D.L., 1992, Fractals and Chaos in Geology and Geophysics. Cambridge University Press, London, 398 p.

    Google Scholar 

  • Vasudevan, K., Li, Q., Robley, K. and Cook, F.A., 1995, Fractal behavior of the crustal in deep seismic reflection profiles. Lithoprobe Seismic Processing Facility, News Letter, 8, 93–98.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lingxiu Jiao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jiao, L., Moon, W.M. Automatic detection of seismic phases using variance fractal-dimension trajectory. Geosci J 2, 37–45 (1998). https://doi.org/10.1007/BF02910202

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02910202

Key words

Navigation