Chaotic dynamics and fractals in magmatic interaction processes : A different approach to the interpretation of mafic microgranular enclaves

Earth and Planetary Science Letters

Volumn 175, Issue 1-2, 2000, Pages 93-103

  Diego, Perugini ^a   Giampiero, Poli ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Chaotic dynamics; Fractal; Magma mixing; Magmatic enclave

Indexed keywords

FRACTAL ANALYSIS; GREECE; MAGMA;

ENCLAVE; FRACTAL ANALYSIS; MAGMA; MIXING;

EID: 0034731828     PISSN: 0012821X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0012-821x(99)00282-4     Document Type: Article

References (26)

1. D.L. Turcotte, Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge, 1992, 221 pp.
2. G. Poli, S. Tommasini, Origin and significance of microgranular inclusions in calc-alkaline granitoids: a proposed working model, J. Petrol. 32 (1991) 657-666.
3. J. Flinders, J.D. Clemens, Non-linear dynamics, chaos, complexity and enclaves in granitoid magmas, Trans. R. Soc. Edinb. Earth Sci. 87 (1996) 225-232.
4. B. Platevoet and B. Bonin, Enclaves and mafic-felsic associations in the Permian alkaline province of Corsica, France: physical and chemical interactions between coeval magmas, in: J. Didier and B. Barbarin (Eds.), Enclaves and Granite Petrology, Developments in Petrology, 13, Elsevier, Amsterdam, 1991, pp. 191-204.
5. J. Didier and B. Barbarin, Enclaves and Granite Petrology, Developments in Petrology, 13, Elsevier, Amsterdam, 1991, 625 pp.
6. Q. Williams, T. Tobisch, Microgranitic enclave shapes and magmatic strain histories: constraints from drop deformation theory, J. Geoph. Res. 99 (B12) (1994) 24359-24368.
7. G. Poli, S. Tommasini, A.N. Halliday, Trace elements and isotopic exchange during acid-basic magma interaction processes, Trans. R. Soc. Edinb. Earth Sci. 87 (1996) 225-232.
8. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport, Cambridge University Press, Cambridge, 1989, 364 pp.
9. J.M. Ottino, C.W. Leong, H. Rising, P.D. Swanson, Morphological structures produced by mixing in chaotic flows, Nature 333 (1988) 419-425.
10. J.M. Ottino, The mixing of fluids, Sci. Am. 260 (1989) 40-49.
11. M.M. Koochesfahani, P.E. Dimotakis, Mixing and chemical reactions in a turbulent liquid mixing layer, J. Fluid Mech. 170 (1986) 83-96.
12. G. Metcalfe, C.R. Bina, J.M. Ottino, Kinematic considerations for mantle mixing, Geophys. Res. Lett. 22 (7) (1995) 743-746.
13. B.B. Mandelbrot, The Fractal Geometry of Nature, W.H. Freeman, New York, 1982, 468 pp.
14. C. D'Amico, G. Christofides, G. Eleftheriadis, G.M. Bargossi, R. Campana, T. Soldates, The Sithonia plutonic complex (Chalkidiki, Greece), Miner. Petrogr. Acta 23 (1990) 143-177.
15. G. Christofides, C. D'Amico, A. DelMoro, G. Elefteriadis, C. Kyriakopulos, Rb/Sr geocronology and geochemical characters of the Sithonia plutonic complex (Greece), Eur. J. Mineral. 2 (1990) 79-87.
16. D. Perugini, G. Poli, G. Christofides, T. Soldates, A. Koroneos, G. Eleftheriadis, Importance of magmatic interaction processes in the evolution of tertiary granitoids of Serbomacedonian and Rhodope Massifs (Northern Greece), EUG10 J. Conf. Abstr. 4 (1) (1999) 670.
17. L. Liebovitch, T. Toth, A fast algorithm to determine fractal dimension by box counting, Phys. Lett. A 141 (1989) 386-390.
18. R.H. Mitchell and S.C. Bergman, Petrology of Lamproites, Plenum Press, New York, 1991, 447 pp.
19. M. Liu, F.J. Muzzio, R.L. Peskin, Quantification of mixing in aperiodic chaotic flows, Chaos Solitons Fractals 4 (6) (1994) 869-893.
20. L.S. Huang, C.M. Ho, Small scale transition in a plane mixing layer, J. Fluid Mech. 210 (1990) 475.
21. J.M. Ottino, F.J. Muzzio, M. Tjahjadi, J.G. Franjione, S.C. Jana, H.A. Kusch, Chaos, symmetry, and self-similarity exploiting order and disorder in mixing processes, Science 257 (1992) 754-760.
22. L. Bresler, T. Shinbrot, G. Metcalfe, J.M. Ottino, Isolated mixing regions: origin, robustness and control, Chem. E. Sci. 52 (1997) 1623-1636.
23. B. Barbarin and J. Didier, Macroscopic features of mafic microgranular enclaves, in: J. Didier and B. Barbarin (Eds.), Enclaves and Granite Petrology, Developments in Petrology, 13, Elsevier, Amsterdam, 1991, pp. 253-262.
24. O. Grasset, F. Albarede, Hybridization of mingling magmas with different densities, Earth Planet. Sci. Lett. 121 (1994) 327-332.
25. S. Tommasini, G. Poli, Petrology of the Late-Carboniferous Punta Falcone gabbroic complex, Northern Sardinia, Italy, Contrib. Mineral. Petrol. 110 (1992) 16-32.
26. I.H. Campbell, J.S. Turner, The influence of viscosity on fountains in magma chambers, J. Petrol. 27 (1986) 1-30.