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Vol 137
Pages:
84-89
Download volume:
RUS
Article

Fractal models and prospects for their use in geology

Authors:
S. S. Shakin
Date submitted:
1992-08-04
Date accepted:
1992-10-20
Date published:
1993-12-06

Abstract

Deterministic, random and random-deterministic fractal mathematical models are described. Examples of geological objects and processes that can be described by such models are given. Methods of measuring fractal parameters are given.

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References

  1. Kulik D.A., Chernovsky M.I. Fractal model of multi-order folding of ferruginous quartzites // Prc. of universities. Geology and Exploration. 1990. № 5. P. 77-85.
  2. Mukhamedov V.A. Probabilistic aspects of fractal analysis of seismic series - correlation integral and stable distributions // Prc. AS TSSR. Physics-technical, chemical and geological sciences. 1990. № 4. P. 27-32.
  3. Feder E. Fractals. M.: Mir, 1991. 260 p.
  4. Fractality of the tectonic disturbances of the axial zone of the East Pacific Rise in connection with deep-water sulfides / I.N. Goryainov, I.S. Gramberg et al. // DAN USSR. 1990. V. 315. N° 2. P. 446-449.
  5. Fractals in Physics. M.: Mir, 1988. 610 с,
  6. Barnsley H.F., Devaney E.L. The sciene of fractal isages. New York: Springer, 1988. 312 p.
  7. Chiles J.P. Fractal and geostatistical metod for modeling of fracture network. // Mathematical geology. 1988. V. 20. №6. P. 631-654.

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