Statistical Characteristics of Xenoliths in the Antioch Kimberlite Pipe, Marshall County, Northeastern Kansas

Natural Resources Research

Volumn 11, Issue 4, 2002, Pages 289-297

  Kotov, Sergey ^a   Berendsen, Pieter ^b  

^a INSTITUTE OF PRECAMBRIAN GEOLOGY AND GEOCHRONOLOGY   (Russian Federation)

^b UNIVERSITY OF KANSAS   (United States)

Author keywords

Distribution; Fractal; Lognormal; Pareto; Weibull

Indexed keywords

EID: 33646882296     PISSN: 15207439     EISSN: 15738981     Source Type: Journal    
DOI: 10.1023/A:1021150012480     Document Type: Article

References (18)

1. Berendsen, P., 1997, Tectonic evolution of the Midcontinent Rift System in Kansas: Geol. Soc. America Spec. Paper, v. 312, P. 235-241.
2. Berendsen, P., and Weis, T., 2000, New kimberlite discoveries in Kansas, what do they tell us about the Precambrian basement in the Midcontinent, U.S.A.: Variscan-Appalachian dynamics: The building of the Upper Paleozoic basement: Basement Tectonics 15, A Coruna, Spain, Program and Abstracts, 7, P. 61-62.
3. Bickford, M. E., Harrower, K. L., Hoppe, J. W., Nelson, B. K., Nusbaum, R. L., and Thomas, J. J., 1981, Rb-Sr and U-Pb geochronology and distribution of rock types in the Precambrian basement of Missouri and Kansas: Geol. Soc. America Bull.,v. 92, pt.l, P. 323-341.
4. Coons, R. L., Woollard, G. P., and Hershey, G., 1967, Structural significance and analysis of Midcontinent Gravity High: Am. Assoc. Petroleum Geologists Bull., v. 51, no. 12, P. 2381-2399.
5. Epstein, B. J., 1947, The mathematical description of certain breakage mechanisms leading to the logarithmico-normal distribution: Franclin Inst., v. 244, P. 471-477.
6. Gilvarry, J. J., and Bergstrom B. H., 1961, Fracture of brittle solids. II. Distribution function for fragment size in single fracture (experimental): Jour. Appl. Phys., v. 32, no. 3, P. 400-410.
7. Higgins, M. D., 2000, Measurement of crystal size distributions: Am. Mineral., v. 85, no. 9, P. 1105-1116.
8. Flutter, K., ed., 1993, Continuum mechanics in environmental sciences and geophysics: Springer, New York, 522 p.
9. King, E. R., and Zietz, L, 1971, Aeromagnetic study of the Midcontinent Gravity High of central United States: Geol. Soc. America Bull., v. 82, no. 8, P. 2187-2208.
10. Kolmogorov, A. N., 1941, The lognormal law of distribution of particle sizes during crushing: Dokl. Akad. Sci. USSR, v. 31, no. 2, P. 99-101.
11. Lorenz, V, Zimanowski, B., Buttner, R., and Kurszlaukis, S., 1998, Formation of kimberlite diatremes by explosive interaction of kimberlite magma with groundwater: field and experimental aspects, in Gurney, J. J., Gurney, J. L., Pascoe, M. D., and Richardson, S. H., eds., Proc. Vllth Inter. Kimberlite Conf., Vol 2: Univ. Cape Town, South Africa, P. 522-528.
12. Rice, A., 1998, Can the blasting excavation engineering sciences provide insight into the processes of kimberlite emplacement and eruption, in Gurney, J. J., Gurney, J. L., Pascoe, M. D., and Richardson, S. H., eds., Proc. Vllth Intern. Kimberlite Conf., vol. 2: Univ. Cape Town, South Africa, P. 699-708.
13. Royet,J. P., 1991, Stereology: A method foranalyzing images: Prog. Neurobiol. v. 37, P. 433-474.
14. Sahagian, D. L., and Proussevitch, A.A., 1998,3D Xenolith size distributions from natural applications: Jour. Volcanol. Geothermal Res., v. 84, no. 314, P. 173-196.
15. Saltikov, S. A., 1967, The determination of the size distribution of xenoliths in an opaque material from a measurement of the size distributions of their sections, in Elias, H., ed., Proc. Second Intern. Congress Stereology: Springer, Berlin, P. 163-173.
16. Sammis, C. G., and Steacy S. J., 1995, Fractal fragmentation in crustal shear zones, in Barton, C. C., and La Pointe, P. R., eds., Fractals in the Earth Sciences: Plenum, New York, P. 179-204.
17. Sims, P. K., and Peterman, Z. E., 1986, Early Proterozoic central plains orogen: a major buried structure in the north-central United States: Geology, v. 14, no. 6, P. 488-491.
18. Turcotte, D. L., 1986, Fractals and fragmentation: Jour. Geophys. Res., v. 91, no. p. 1921-1926.