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

Błachowicz T., Andreychouk V., Domino K.

Landform Analysis

2018

Vol. 36

3--8

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.

Fractal dimensions of cave for exemplary gypsum cave-mazes of Western Ukraine

Andreychouk V., Błachowicz T., Domino K.

Landform Analysis

2013

Vol. 22

3--8

Gypsum labyrinthine caves are characterized by a complex spatial structure, which can be treated as fractals and can be studied using appropriate mathematical tools. Capacitance and correlation fractal dimensions of largest gypsum caves of the Western Ukraine (as well as the World’s largest ones) were calculated. The results were used to predict findings of new, undiscovered cave mazes parts.