On fractal nature of geotechnology

Politechnika Wrocławska, Instytut Górnictwa
Mining Science 2012;135(42):179–193
A fractal description of raw materials technology named as geotechnology, is presented in the paper. Development of such technology can be made by multiplying separation operations, so obtained pattern of technology is similar to each other, independently on size of the system. It is shown that product of technology system, if measured in technology or economical units, strongly depends on the stage of the process, therefore fundamental fractal equation can be adapted to evaluate of self-similarity coefficient of such fractals. A some numerical example are performed and presented for illustrate of the problem. At the end of the subject the information model of the geotechnological fractal is proposed.
Jerzy Malewski
Politechnika Wrocławska, Instytut Górnictwa, Wyb. Wyspiańskiego 50-370 Wrocław
1. AHMED H.A.M., DRZYMAŁA J., Two-dimensional fractal linearization of distribution curves, Physicochemical Problems of Mineral Processing, 39,2005.
2. BATTY M, LONGLEY P., Urban growth and form: scaling, fractal geometry, and diffusion-limited aggregation, Environment and Planning A. 1989, volume 21.
3. DRZYMAŁA J., Mineral processing, Wrocław University of Technology, 2007.
4. KWAŚNIEWSKI M., WANG J., O fraktalnym charakterze powierzchni ścianek spękań w skałach, XVIII Zimowa Szkoła Mechaniki Górotworu, Szklarska Poręba 1995.
5. MALEWSKI J., Zarządzanie produkcją – kluczową technologią rozwoju przemysłu wydobywczego rud miedzi i surowców towarzyszących, Cuprum, 1/2008.
6. STAUFFER D., STANLEY H.E, Od Newtona do Mandelbrota – wstęp do fizyki teoretycznej, WNT, Warszawa 199.
7. URBAŃSKI J., GIS w badaniach przyrodniczych, e-book, 2012.
8. WHITEN W.J., A matrix theory of comminution machines, Chem. Eng. Sci, 1974, vol 29.
9. WITTEN T.A. SANDER L.M., Diffusion-limited aggregation, Physical Review B, v.27 nr 9, 1982.
10. WOLFRAM S., A New Kind of Science, Wolfram Media, 2002 Geotechnology, fractals, modeling.