The hurst exponent as a tool for the description of magma field heterogeneity reflected in the geochemistry of growing crystals

Acta Geologica Polonica

Volumn 60, Issue 3, 2010, Pages 437-443

  Domonik, Andrzej ^a   Słaby, Ewa ^b   Śmigielski, Michał ^a  

^a UNIVERSITY OF WARSAW   (Poland)

^b INSTITUTE OF GEOLOGICAL SCIENCES   (Poland)

Author keywords

Anti persistent element behavior; Fractals; Geochemistry; Hurst exponent; Magma mixing; Persistent element behaviour

Indexed keywords

ALKALI FELDSPAR; CRYSTAL; CRYSTALLIZATION; FELSIC ROCK; MAGMA; MAGMA CHEMISTRY; MIXING; TRACE ELEMENT;

EID: 78049394198     PISSN: 00015709     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Einstein, A. 1905. Über die von der molekularkinetischen Theorie der wärme geforderte bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annalen der Physik, 17, 549-560.
2. Hastings, H.M. and Sugihara G. 1993. Fractals: A users guide for the Natural Sciences, pp. 1-248. oxford university Press; oxford.
3. Hoskin, P.W.O. 2000. Patterns of chaos: Fractal statistics and the oscillatory chemistry of zircon. Geochimica et Cosmochimica Acta, 64, 1905-1923.
4. Hurst, H.G. 1951. Long-term storage capacity of reservoirs. Transactions of the American Society of Civil Engineers, 116, 770-808.
5. Hurst, H.E., Black, R.P. and Simaika, Y.M. 1965. Long-term storage: An experimental study, pp. 1-146. constable; london.
6. Mandelbrot, B. 1977. Fractals: Form, chance and dimension, pp. 1-365. W.H. Freeman & co.; San Francisco.
7. Mandelbrot, B. 1982. The Fractal geometry of Nature, pp. 1-468. w.H. Freeman & co.; San Francisco.
8. Mandelbrot, B. 1997. Fractal and scaling in finance, pp. 1-551. Springer Verlag; New york.
9. Peitgen, H.O., Jurgens, H. and Saute, D. 2002. Granice chaosu: Fraktale, pp. 1-556. Pwn; warszawa.
10. Perugini, D., Poli, G. and Gatta, G.D. 2002. Analysis and simulation of magma mixing processes in 3d. Lithos, 65, 313-330.
11. Perugini, D., Poli, G. and Mazzuoli, R. 2003. Chaotic advection, fractals and diffusion during mixing of mag-mas: Evidence from lava flows. Journal of Volcanology and Geothermal Research, 124, 255-279.
12. Perugini, D., Poli, G. and Valentini, L. 2005. Strange attractors in plagioclase oscillatory zoning: petrological implications. Contribution to Mineralogy and Petrology, 149, 482-497.
13. Peters, E.E. 1994. Fractal Market Analysis, pp. 1-315. Wiley & Sons inc.; New york. pp. 1-280. wig-Press; warszawa.
14. Słaby, E. and Götze, J. 2004. Feldspar crystallization under magma-mixing conditions shown by cathodoluminescence and geochemical modelling-a case study from the karkonosze pluton (Sw Poland). Mineralogical Magazine, 68, 541-557.
15. Słaby, E., Galbarczyk-Gasiorowska, L., Seltmann, R. and Müller, A. 2007a. Alkali feldspar megacryst growth: geochemical modelling. Mineralogy and Petrology, 68, 1-29.
16. Słaby, E., Seltmann, R., Kober, B., Müller, A., Galbarczykgasiorowska, L. And Jeffries, T. 2007b. Lree Distribution Patterns In Zoned Alkali Feldspar Megacrysts-Implication For Parental Melt Composition. Mineralogical Magazine, 71, 193-217.
17. Słaby, E., Götze, J., Wörner, G., Simon, K., Wrzalik, R. and Śmigielski, M. 2008. K-Feldspar Phenocrysts In Microgranular Magmatic Enclaves: A Cathodoluminescence And Geochemical Study Of Crystal Growth As A Marker Of Magma Mingling Dynamics. Lithos, 105, 85-97.
18. Smoluchowski, M. 1906. Zur Kinetischen Theorie Der Brownschen Molekularbewegung Und Der Suspensionen. Annalen Der Physik, 21, 756-780.
19. West, B.J. 1990. Fractal Physiology And Chaos In Medicine. World Scientific; Singapore.
20. Wiener, N. 1923. Differential Space. Journal of Mathematical Physics, 2, 131-174.
21. Yang Z.Y. and Lo S.C. 1997. An index for describing the Anisotropy of joint Surfaces. International Journal of Rock Mechanics and Mining Sciences, 34, 1031-1044.