Application of Fractal Theory on River Bed Form

Article Preview

Abstract:

Fractal theory is used to describe river bed form. Based on improvements in some aspects of Surface area – Scale Method, such as, estimation of surface area, boundary treatment and so on, the calculation method of surface fractal dimension with irregular boundary is obtained, and the new method has good application on the bed surface fractal dimension calculation. The fractal characteristics of river bed surface morphology are discussed by combination with river-pattern, river regime, river process and changes of BSD. BSD can be used to study some related problems, such as analysis of river regime, distinction of river pattern, calculation of river resistance and so on.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

236-240

Citation:

Online since:

October 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Zhang R J, River Sediments Mechanics[M]. Beijing:China WaterPower Press, (1989).

Google Scholar

[2] Wang X K, Shao X J, Wang G Q. River Mechanics[M]. Beijing:Science Press, (2004).

Google Scholar

[3] Mandelbrot B B. The Fractal Geometry of Nature[M]. NewYork: W.H. Freeman, (1992).

Google Scholar

[4] Nikora V I. Fractal structures of river plan forms[J]. Water Resour. Res., 27 (6), (1991), pp.1327-1333.

DOI: 10.1029/91wr00095

Google Scholar

[5] Sapozhnikov V B, Foufpula-Georgou E. Self-affinity in braided rivers[J]•Water Resour Res, 32 (5), (1996), pp.1429-1439.

DOI: 10.1029/96wr00490

Google Scholar

[6] Bai Y C, Huang T, Xu D. Fractal and Statistic Analysis of Planar Shape of Meandering Rivers[J]. Journal of Tianjin University, 41 (9), (2008), pp.1052-1056.

Google Scholar

[7] Robert.A. Statistical properties of sediment bed profiles in alluvial channels [J]. Math. Geol., 20, (1988), pp.205-225.

DOI: 10.1007/bf00890254

Google Scholar

[8] Jin D S, Chen H, Guo Q W. A pereliminary study on non-linear properties of channel longitudinal profiles [J]. Acta Geographica Sinica, 52(2), (1997), pp.154-162.

Google Scholar

[9] Zhou Y J, Chen L, Liu X T, et al. Study on Fractal Properties of River Bed and the Calculation Method of Fractal Dimension[J]. Journal of East China Normal University(Natural Science), (3), (2009), pp.170-178.

Google Scholar

[10] Clark K C. Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method[J]. Computers &Geoscience, 12 (5), (1986), p.713~722.

DOI: 10.1016/0098-3004(86)90047-6

Google Scholar

[11] Xie H P, Wang J A, Stein E. Direct fractal measurement and multifractal properties of fracture surface[J]. Physics Letters A, 242, (1998), p.41–50.

DOI: 10.1016/s0375-9601(98)00098-x

Google Scholar

[12] Zhang Y H, Zhou H W, Xie H P. Improved cubic covering method for fractal dimensions of a fracture surface of rock[J]. Chinese Journal of Rock Mechanics and Engineering, 24 (17), (2005), pp.3192-3196.

Google Scholar

[13] An Q R. Applied Research on Landscape Fraetal Dimensions Characteristics on information Dimension [D]. Xi An:Northwest University, (2008).

Google Scholar

[14] Russ. J. C.Fractal Surfaces [M]. P1enum Prcss(1994).

Google Scholar