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Investigation on Flow Problems Using Fractal Analysis

  • G. Telekes
  • Z. Czap
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 397)

Abstract

The fractal analysis is the result of recent developments in mathematics. The validity of the different mathematical methods depends on the models applied. The fractal models for granular soils are valid up to hundred times of the significant particle size, which is the scale of laboratory tests. In larger scale projects the methods of geostatistics should be applied, among them the fractal geometrical analysis is also available.

The fractal geometrical methods in Geotechnics are still under development. In the research presented association with fractal dimension and behaviour or physical parameters of the soil was investigated.

The paper introduces the basic ideas of fractals and its theoretical application for investigation on flow problems. The rules of flow in granular soils and the methods of its numerical modelling are also discussed.

Keywords

Fractal Dimension Fractal Analysis Flow Problem Granular Soil Sticking Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. BAKUCZ, P. (1996). The hydrodinamical fractal dispersion. Hidrológiai Közlöny, Vol. 76. No. 5. Budapest (in Hungarian)Google Scholar
  2. BARABÁSI, A. L. — STANLEY, H. E. (1995). Fractal Concepts in Surface Growth. Cambridge University PressCrossRefMATHGoogle Scholar
  3. CZAP, Z. — TELEKES, G. (1997). Potential Uses of Fractal Analysis on Flow Problems in Unsaturated Soils. Environmental Geotechnics — Design Parameters for Computing Applications, the Proceedings of the Lectures, REAT, PragueGoogle Scholar
  4. GOUYET, J-F. (1996): Physics and Fractal Structures, Masson, Springer-VerlagGoogle Scholar
  5. Physics (1993). SH atlas. Springer Hungarica (in Hungarian)Google Scholar
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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • G. Telekes
    • 1
  • Z. Czap
    • 1
  1. 1.Technical University of BudapestBudapestHungary

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