Skip to Main content Skip to Navigation
Journal articles

Analysis and stochastic simulation of geometrical properties of conduits in karstic networks

Abstract : Despite intensive explorations by speleologists, karstic systems remain only partially described as many conduits are not accessible to humans. The classical exploration techniques produce sparse data, leading to various uncertainties about the conduit dimensions, essential parameters for flow simulations. Stochastic simulations offer a possibility to better assess these uncertainties. In this paper, we propose different methods to stochastically simulate the properties (size and shape anisotropy) of karstic conduits on already existing skeletons. These approaches, based on Sequential Gaussian Simulations (SGS), allow taking different conditioning data into account, while respecting the intricacy of the networks. To infer the input parameters, we perform a statistical study of the conduit dimensions of 49 explored karstic networks, focusing on their equivalent radius and width-height ratio. Thanks to the definition of 1D-curvilinear variograms, we demonstrate the existence of a spatial correlation along the networks, which is even higher when considering independently each conduit. Finally, using ad hoc algorithms implemented for computing both a conduit hierarchy inside karstic networks and a relative position regarding outputs, we find no evidence of an obvious link between these two entities and the studied metrics. The simulation methods are then demonstrated on the karstic network of Arrestelia (Pyrénées-Atlantiques, France), and show the consistency of the proposed approach with the observations made on the explored natural systems.
Document type :
Journal articles
Complete list of metadata

https://hal.univ-lorraine.fr/hal-03117327
Contributor : Pauline Collon Connect in order to contact the contributor
Submitted on : Thursday, January 21, 2021 - 10:02:13 AM
Last modification on : Friday, April 1, 2022 - 3:49:42 AM
Long-term archiving on: : Thursday, April 22, 2021 - 6:20:28 PM

File

2021Pap_Frantz_Geomorph_Author...
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

Identifiers

Citation

Yves Frantz, Pauline P. Collon, Philippe Renard, Sophie Viseur. Analysis and stochastic simulation of geometrical properties of conduits in karstic networks. Geomorphology, Elsevier, 2021, 377, pp.107480. ⟨10.1016/j.geomorph.2020.107480⟩. ⟨hal-03117327⟩

Share

Metrics

Record views

187

Files downloads

71