Fractal behaviour of some geological media

被引:1
作者
Esposito L. [1 ]
Guadagno F.M. [2 ]
机构
[1] Univ. Studi di Napoli Federico II, Dipt. di Geofisica e Vulcanologia, Largo S. Marcellino
[2] Facoltà di Scienze, Università del Sannio, via Caio Porzio Telesino, Benevento
关键词
Clayey soils; Fractal sets; Minkowski dimension; Pumice; Specific surface;
D O I
10.1007/s100640000038
中图分类号
学科分类号
摘要
This paper describes the use of fractal geometry in determining the characteristics of some geological media, such as clayey and pumice soils. Attention is drawn to the determination of the specific surface of some clays of southern Italy and of pumice of the Vesuvius eruption of 79 a.d. The analysis proposed gives the Minkowski dimension of soils expressed by the power law, or the equation Mg(F) ≈Co-s; this is a dimensionless number. The values of Minkowski dimension obtained have been compared with the values obtained by physical methods (mercury porosimetry and the bottle helium test). The analyses conducted prove that, for the range of magnification adopted, the media examined behave as irregular or fractal sets.
引用
收藏
页码:289 / 295
页数:6
相关论文
共 17 条
[1]  
Bolt, G.H., Physico-chemical analysis of the compressibility of pure clays (1956) Geotechnique, 6 (2), pp. 86-93
[2]  
Esposito, L., Ferrante, A.P., The swelling behaviour of compacted clay soils (1991) Proc Eur Geotech Conf, 2, pp. 25-29. , Firenze
[3]  
Esposito, L., Guadagno, F.M., Some special geotechnical properties of pumice deposit (1998) Bull Eng Geol Environ, 57 (1), pp. 41-50
[4]  
Falconer, K., (1990) Fractal Geometry, , McGraw Hill, New York
[5]  
Hausdorff, F., Dimension und ausseres mass (1919) Math Annalen, 79, pp. 157-179
[6]  
Julia, G., Sur l'interaction des functions rationelles (1918) J Math Pure Appl, 8, pp. 47-245
[7]  
Low, P.F., Structural component of the swelling pressure of clays (1987) Langmuir, 3, pp. 18-25
[8]  
Mandelbrot, B.B., (1982) The Fractal Geometry of Nature, , Freeman, San Francisco
[9]  
Moore, C.A., Donaldson, C.F., Quantifying soil microstructure using fractals (1995) Geotechnique, 45 (1), pp. 105-116
[10]  
Moore, C.A., Krepfl, M., Using fractal to model soil fabric (1991) Geotechnique, 41 (1), pp. 123-134