Received date: 1991-01-16
Online published: 1991-09-01
It is a new method and tendency in geophysics to apply the fractal theory to study geophysical phenomena. In the paper, the basic concepts of fractals and fractal dimensions are introduced, and the new advances in the research of fractals in geophysics are also reviewed.
Key words: Fractal geometry; geophysics; Self-similarity; self-affinity
Yang Xinshe . REVIEW OF FRACTAL RESEARCH IN GEOPHYSICS[J]. Advances in Earth Science, 1991 , 6(5) : 31 -37 . DOI: 10.11867/j.issn.1001-8166.1991.05.0031
[1] Mandelbrot B. B. ,The Fractal Geometry of Nature,Freeman,San Francisco,1982.
[2] 郝柏林,分形与分维,科学,38,NO. 9,1985.
[3] paladin G. ,Vulpiani A. ,Fractal: in Physics,Pietronero L. ,eds. ,Elsevier Science Publishers,1986.
[4] J. Kaplan,J. Yorke,Lecture Notes in Mathematics,1979,p228.
[5] Wolf a. ,et al.,Determination of Lyapunov Exponents,Physica,16D,1985,p285.
[6] Mandelbrot B. B. ,Fractals and Multifrata’s,Springer,New York. 1989.
[7] Aki K. ,A Probabilistic Synthesis of Precursory Phenomena,In Earthquake Prediction(Simpson,D. eds),AGU, Washington,D.C. ,1981,p556-574.
[8] king G. ,The Accommodation of Large Strains in the Upper Lithosphere of Earth and other Solids by Self-similar Fault systems:The Geometrical Origin of b-value,Pure Appl. Geophys. 21,1983,p761-815.
[9] Aviles,D C. A. ,et al. ,Fractal Analysis Applied to Characteristic Segments of the San Andres Fault. , J. Geophys. Res.,92,1987,p331.
[10] 谢和平,岩石、混凝土损伤力学,中国矿业大学出版社,1989年.
[11] Cargill S. M. et al. ,Estimating Usable Reroutes From Historical Data,Econ. Geol. ,76. 1981,p1081-1095.
[12] Lovejoy S. ,Area-perimeter Relation for Rain and Cloud Areas,Science,216,1982,p185-187.
[13] Turcotte D. L.,Fractal interpretation of Topography and Geold Spectra,J. Geophys Res. ,92 1987,p597-601.
[14] Korvin G., et al., Fractal Chracterization of the South Australian Gravity Station Network, Geophys. J. Inter,,100,1990,p535.
[15] Mandelbrot B. B., Self-affine Fractals and Fractal Dimension,Phys. Scripta,32, 1985,p257-260.
[16] Chave A. D,et al,On the Robust Estimation of power Spectra Cohetences,J. Geophys. Res. ,92. 1987,P633-648.
[17] Froyland J. ,et al. ,The Fractal Statistics of Ocean Wave,Geophys Norv,38,1988,p45-76.
[18] Mandelbrot B. B., Wallis J. R. ,Some Long-run properties of Geophysical Records, Water Resour. Res. , 5,1969,p321-340.
/
〈 |
|
〉 |