5. Morphometric analysis of cave patterns using fractal indices

Kambesis, Patricia N.; Larson, Erik B.; Mylroie, John E.

doi:10.1130/2016.2516(06)

Cited by 12 publications

(8 citation statements)

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“…Despite the sophisticated structural complexity of speleological objects, we suggest that proposed numerical methodology may be useful for parameterization purposes due to introducing new quantitative parameters characterizing morphology of three-dimensional cave-mazes. As an example of the similar, quantitative characterization of cave morphology, based on image-processing, fractal dimension calculations, and the lacunarity indices, can be found in the recent review work of Kambesis et al (2015). Obtained values of fractal dimension were equal to 2.6488, and 2.6792, for the Wind Cave, and the Lechuguilla Cave, respectively.…”

Section: Discussionmentioning

confidence: 86%

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

Błachowicz

Andreychouk

2015

Landform Analysis

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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.

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Section: Discussionmentioning

confidence: 86%

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

Błachowicz

Andreychouk

2015

Landform Analysis

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“…The prob lem in ves ti gated be longs par tially within re search into fractal prop er ties of karst (Curl, 1986;Laverty, 1987;ChilÀs, 1988;Feder, 1988;Havlin and Ben-Avraham, 2002;Maramathas and Boudouvis, 2006;Pardo-Igúzquiza et al, 2014, Kambesis et al, 2015 and partly re fers to the au thors' pre vi ous works (Andreychouk et al, 2013;Blachowicz and Andreychouk, 2016).…”

Section: Fenglin and Fengcong Karst Fenglin And Fengcong Karst In Conmentioning

confidence: 95%

Fractal analysis of tropical karst relief – South China Karst case study

Andreychouk

Błachowicz²,

Dłużewski³

2019

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Ar eas of trop i cal karst cre ate the most spec tac u lar earth land scapes from a geomorphological per spec tive. These ar eas are char ac ter ized by a va ri ety of spe cific forms re sult ing from the long-term karst-ero sion dis mem ber ment of ter rains in fa vourable hu mid trop i cal con di tions. Trop i cal karst ar eas are ex tremely di verse from a geomorphological point of view both in terms of lo cal con di tions of de vel op ment and de vel op men tal stages. Among the many types of karst re lief, the fol low ing two ba sic types can be rec og nized: fenglin (tower karst) and fengcong (cone karst). The other types can be treated as a mix ture of these two ba sic types. To find po ten tial quan ti ta tive rates char ac ter iz ing the two main types, as well as the mixed types, we cal cu lated fractal di men sions and cover fac tors of 17 ar eas lo cated within the two well-known re gions of South China Karst-Guilin and Huanjiang. The cal cu la tions show that the nu mer i cal char ac ter is tics ob tained, es pe cially the cover fac tor pa ram eter, can be use ful as com ple men tary tools in the rec og ni tion and typology of trop i cal karst re lief and land scapes.

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“…And, stream caves usually form in regions where there are connections between non-carbonate basement rock and overlying carbonate rock, where allogenic recharge feeds a cave stream that rests on the non-carbonate basement rock. Stream caves are formed by freshwater dissolution generated as a consequence of epigenic recharge and usually feature branching drainage patterns [26][27][28]. The complexity of stream cave patterns ranges between that of the littoral pattern and flank-margin pattern [26].…”

Section: Data Presentation Analysis and Interpretationmentioning

confidence: 99%

Modelling the positive feedback mechanism of a karst aquifer using surface reconstruction

Bradshaw¹,

Ray²

2020

Int. J. CMEM

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Karst conduit network modelling is particularly difficult because the location of the conduits within an aquifer is often unknown. To address this, many mathematical models of karst aquifers use stochastically simulated conduit networks to try to extract certain geometrical and hydraulic connectivity properties that may prevail within the aquifer. Such idealized representations of a karst aquifer do not adequately represent the positive feedback mechanism that exists between the distribution of hydraulic head and the growth of the solution conduits that determine the geometry and the interconnectedness of the resulting conduit network. In this paper, Poisson surface reconstruction is presented as a simple method for constructing a realistic model of a karst aquifer by simulating the positive feedback mechanism between dissolution and flow. Direct application of the Poisson technique to a tropical karst limestone aquifer of the island of Barbados highlights how the complete conduit geometry and the feedback mechanism of a real aquifer system may be interpolated. The result suggests that applying surface reconstruction to a good calibrated point cloud sampling taken from an aquifer itself is an efficient methodology for generating realistic karstic networks. Additionally, Poisson surface reconstruction replicates an aquifer without directly solving complex hydrogeological and speleological equations and oversimplifying the hydrogeological and geological complexities of a karst environment in the way that hypothesized conduit network models do. As a result, it is believed that this conceptual model provides a utility for characterizing a karst aquifer in terms of the well-established theoretical foundations of the surface reconstruction problem even when the input data is sparse.

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5. Morphometric analysis of cave patterns using fractal indices

Cited by 12 publications

References 0 publications

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

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

Fractal analysis of tropical karst relief – South China Karst case study

Modelling the positive feedback mechanism of a karst aquifer using surface reconstruction

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