Study on Depositional Environment of Soil Based on Multi-Fractal Theory

Article Preview

Abstract:

Fluvial action is the most universal erosion process in geological history. Rivers in the surface of the Earth had molded different kinds of geomorphic features and varied landforms; also they had great effect on the human beings. Evaluating the fluvial landforms correctly and objectively will help people to exploit the living space adequately and utilize natural environment reasonably. Moreover studying on the spatial distribution of the rivers in a local area will help people to understand the situation of the river at present and forecast the development of the river in the future. Fractal and multi- fractal theory is a new and developing subject in modern science; it is widely used in many fields of earth science. Static Cone Penetrate Test is an exploration technology which can obtain the physical indices of soil. A study had found that specific penetration resistances varied with the buried depth of the strata and the curves of test values have characteristics of fractal. In this paper, with the assistance of fractal and multi-fractal theory, we analyzed the simple dimension and multi-fractal properties of these curves. Results suggested that simple dimension as well as the multi-fractal spectrum can tell the difference between the soils deposited in distinct sedimentary environments.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 255-260)

Pages:

3530-3534

Citation:

Online since:

May 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Jiangdong CAI,Daoming ZHANG, Zhenquan JIANG. Study on the Nonlinear Dynamic Characteristic of Cone Penetrate Test Curve. IEEE: The 9th International Conference for Young Computer Scientists 2008: pp.2830-2834 (EI)

DOI: 10.1109/icycs.2008.274

Google Scholar

[2] S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, Y. Dodge, Turbulent.cascades in foreign exchange market, Nature 381 (1996) p.767.

DOI: 10.1038/381767a0

Google Scholar

[3] F. Schmitt, D. Schertzer, S. Lovejoy, Multifractal fluctuations in finance, International Journal of Theoretical and Applied Finance p.361–364. March (2000)

DOI: 10.1142/s0219024900000206

Google Scholar

[4] Y. Fujiwara, H. Fujisaka, Coarse-graining and self-similarity of price fluctuations, Physica A 294 (2001) p.439.

DOI: 10.1016/s0378-4371(01)00135-2

Google Scholar

[5] A. Arneodo, Wavelet analysis of fractals: from the mathematical concepts to experimental reality, in: G. Erlebacher, M. Y. Hussaini, L. Jameson..(Eds.), Wavelets. Theory and applications, ICASE/LaRC Series in Computational

DOI: 10.1093/oso/9780195094237.003.0007

Google Scholar

[6] Science and Engineering, Oxford University Press, Oxford, 1996, p.349.

Google Scholar

[7] A. Turiel, N. Parga, The multi-fractal structure of contrast changes in.natural images: from sharp edges to textures, Neural Computation 12.(2000) 763–793.

DOI: 10.1162/089976600300015583

Google Scholar