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Quantitative estimation of 3D cave networks complexity using random walk analysis

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents a new method of quantitative parameterization of volumetric-net geomorphological structures with the use of random walk formalism and an analysis of self-similarity exponent distribution derived from random walk experiments. As examples, two American three-dimensional Wind and Lechuguilla cave networks were elaborated. The provided methodology is able to uniquely characterize the morphology of cave systems.
Czasopismo
Rocznik
Tom
Strony
91--96
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
  • Institute of Physics – Center for Science and Education, Silesian University of Technology, Gliwice, Poland
  • Pope John Paul II State School of Higher Education, Biala Podlaska, Poland
Bibliografia
  • Andreychouk V., Blachowicz T., Domino K., 2013. Fractal dimensions of cave for exemplary gypsum cave-mazes of Western Ukraine, Landform Analysis 22: 3–8. doi: 10.12657/landfana.022.001
  • Bakalowicz M.J., Ford D.C., Miller T.E., Palmer A.N., Palmer M.V., 1987. Thermal genesis of dissolution caves in the Black Hills, Geological Society of America Bulletin 99: 729–738. doi: 10.1130/0016-7606(1987)99<729:TGODCI>2.0.CO;2
  • Budge T.J., Sharp Jr. J.M., 2008. Modeling the usefulness of spatial correlation analysis on Karst systems, Ground Water 47: 427–437.
  • Chilès J.P., 1988. Fractal and geostatistical methods for modelling of a fracture network, Mathematical Geology 20: 631–654. doi: 10.1007/BF00890581
  • Curl, R.L., 1986. Fractal dimensions and geometries of caves, Mathematical Geology 18: 765–783. doi: 10.1007/BF00899743
  • Du Chene H.R., Martinez R., 2000. Post-speleogenetic erosion and its effect on cave development in the Guadalupe Mountains, New Mexico and west Texas. Journal of Cave and Karst Studies 62(2): 75–79.
  • Feder J., 1988, Fractals, Plenum, New York.
  • Ford D.C., 1989. Features of the genesis of Jewel Cave and Wind Cave, Black Hills, South Dakota, Bulletin of the National Speleological Society 51: 100–110.
  • Garber R.A., Grover G.A., Harris P.M., 1989. Geology of the Capitan shelf margin-subsurface data from the northern Delaware Basin. In Harris, P.M. & Grover, G.A. (eds.), Subsurface and outcrop examination of the Capitan shelf margin, northern Delaware Basin. Society of Economic Paleontologists and Mineralogists Core Workshop No. 13: 3–269.
  • Gulden B., 2013. World’s longest caves. Geo2 Committee on Long and Deep Caves. National Speleological Society (NSS).
  • Havlin S., and Ben-Avraham D., 2002. Diffusion in disordered media, Advances in Physics 51: 187–292.
  • Hill C.A., 1987. Geology of Carlsbad Cavern and other caves in the Guadalupe Mountains, New Mexico and Texas. New Mexico Bureau of Mines and Mineral Resources Bulletin 117, 150 p.
  • Horrock R.D., Szukalski B. W., 2002. Using geographic information systems to develop a cave potential map for Wind Cave, South Dakota, Journal of Cave and Karst Studies 64(1): 63–70.
  • Kambesis, P.N., Larson, E.B., Mylroie, J.E., 2015. Morphometric analysis of cave patterns using fractal indices, in Feinberg, J., Gao, Y., and Alexander, E.C., Jr., eds., Caves and Karst Across Time: Geological Society of America Special Paper 516, p. 1–20.
  • Klimchouk A.B., 2007. Hypogene Speleogenesis: Hydrogeological and Morphogenetic Perspective, Special Paper no.1., National Cave and Karst Research Institute, Carlsbad, NM, 106 pp.
  • Klimchouk A.B., 2009. Morphogenesis of hypogenic caves, Geomorphology 106: 100–117. doi:10.1016/j.geomorph.2008.09.013
  • Laverty M., 1987. Fractals in karst, Earth Surface Processes and Landforms 12: 475–480. doi: 10.1002/esp.3290120505
  • Levy D.B., 2007. Oxidation-reduction chemistry of Lechuguilla Cave seepage, Journal of Cave and Karst Studies 69: 351–358.
  • Mandelbrot B., Ness van J.W., 1968. Fractional Brownian motions, fractional noises and applications, SIAM Reviews 10: 422–437.
  • Maramathas A.J., Boudouvis A., 2006. Manifestation and measurement of the fractal characteristics of karst hydrogeological formations, Advances in Water Resources 29: 112–116. doi: 10.1016/j.advwatres.2005.06.003
  • Palmer A. N., 2011. Distinction between epigenic and hypogenic maze caves, Geomorphology 134: 9–22. 10.1016/j.geomorph.2011.03.014
  • Palmer A.N, Palmer M.V. (2000). Hydrochemical interpretation of cave patterns in the Guadalupe Mountains, New Mexico. Journal of Cave and Karst Studies 62(2): 91–108.
  • Pardo-Igúzquiza E., Dowd P.A., Xu C., Durán, J.J., 2012. Stochastic simulation of karst conduit networks, Advances in Water Resources 35: 141– 150. doi:10.1016/j.advwatres.2011.09.014
  • Pardo-Igúzquiza E., Durán J.J, Robledo R., Guardiola C., Luque J. A., Martos S., 2014. Fractal Modelling of Karst Conduits, Lecture Notes in Earth System Science, Mathematics of Planet Earth, Proceedings of the 15th Annual Conference of the International Association for Mathematical Geosciences, Springer Berlin Heidelberg, p. 217–220. doi: 10.1007/978-3-642-32408-6
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3db0de39-a2b7-4ffd-abd0-45bf48a1b19a
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