Random walk analysis of cave maps for exemplary gypsum caves-mazes of Western Ukraine

• Autorzy: Błachowicz T. , Andreychouk V. , Domino K.

Identyfikatory

DOI

10.12657/landfana.036.001

• Języki publikacji: EN

Abstrakty

EN

The paper presents a new method of quantitative parameterization of net geomorphological structures with the use of random walk formalism and an analysis of Hurst exponent distribution derived from random walk experiments. As examples, horizontally developed gypsum caves were elaborated. The provided methodology is able to uniquely characterize cave systems.

Słowa kluczowe

EN

cave networks; gypsum caves; random walk; Hurst exponent

PL

sieci jaskiń; jaskinie gipsowe; wykładnik Hursta

• Wydawca: Stowarzyszenie Geomorfologów Polskich
• Czasopismo: Landform Analysis
• Rocznik: 2018
• Tom: Vol. 36
• Strony: 3--8
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Błachowicz T.

• Center for Science and Education, Silesian University of Technology, Gliwice, Poland

autor

Andreychouk V.

• Faculty of Geography and Regional Studies, University of Warsaw, Poland

autor

Domino K.

• Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences, Gliwice, Poland

Bibliografia

• Andreychouk V.N., 2007. Zoloushka Cave. Faculty of Earth's Sciences, University of Silesia and Ukrainian Institute of Spele-ology and Karstology, Sosnowiec-Symferopol: 1–408.
• Andreychouk V., Blachowicz T., Domino, K., 2013. Fractal dimen¬sions of cave for exemplary gypsum cave-mazes of Western Ukraine. Landform Analysis 22: 3–8.
• Budge T.J., Sharp Jr. J.M., 2008. Modeling the usefulness of spa¬tial correlation analysis on Karst systems. Ground Water 47: 427–437.
• Chilès J.P., 1988. Fractal and geostatistical methods for modeling of a fracture network. Mathematical Geology 20: 631–654.
• Curl R.L., 1986. Fractal dimensions and geometries of caves. Mathematical Geology 18: 765–783.
• Feder J., 1988. Fractals. Plenum, New York.
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• Klimchouk A.B., 2000. Speleogenesis in Gypsum. In: A.B.Klim¬chouk, D.C.Ford, A.N.Palmer, W.Dreybrodt (eds), Speleogene-sis: Evolution of Karst Aquifers, National Speleological Society, Huntsville, Alabama.
• Klimchouk A.B., 2007. Hypogene Speleogenesis: Hydrogeological and Morphogenetic Perspective. National Cave and Karst Re¬search Institute, Carlsbad, NM, Special Paper no. 1: 1–106.
• Klimchouk A.B., 2009. Morphogenesis of hypogenic caves. Geo¬morphology 106(1–2): 100–117.
• Klimchouk A.B., 2012. Ukraine giant gypsum caves. In: W.B.White, D.C.Culver (eds), Encyclopedia of Caves, Elsevier: 827–833.
• Klimchouk A.B., Andreychouk V.N., Turchinov I.I., 2009. The structural prerequisites of speleogenesis in gypsum in the Western Ukraine. University of Silesia – Ukrainian Institute of Speleology and Karstology, Sosnowiec–Simferopol, 2nd edition, revised: 1–96.
• Laverty M., 1987. Fractals in karst. Earth Surface Processes and Landforms 12(5): 475–480.
• Mandelbrot B.B., Van Ness J.W., 1968. Fractional Brownian mo¬tions, fractional noises and applications. SIAM Review 10(4): 422–437.
• Maramathas A.J., Boudouvis A.G., 2006. Manifestation and meas¬urement of the fractal characteristics of karst hydrogeological formations. Advances in Water Resources 29(1): 112–116.
• Palmer A.N., 2011. Distinction between epigenic and hypogenic maze caves. Geomorphology 134(1–2): 9–22.
• Pardo-Igúzquiza E., Dowd P.A., Xu C., Durán-Valsero J.J., 2012. Stochastic simulation of karst conduit networks. Advances in Water Resources 35: 141–150.
• Pardo-Igúzquiza E., Durán J.J, Robledo R., Guardiola C., Luque J.A., Martos S., 2014. Fractal Modeling of Karst Conduits. Lec¬ture Notes in Earth System Science, Mathematics of Planet Earth: Proceedings of the 15th Annual Conference of the In¬ternational Association for Mathematical Geosciences, Springer, Berlin, Heidelberg: 217–220.

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).