In this paper, published in Geomorphology, 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.

This paper would be availbale freely from May 2021 here : https://hal.univ-lorraine.fr/hal-03117327

For the moment, it is available from Elsevier website here: https://doi.org/10.1016/j.geomorph.2020.10748

Frantz, Y., Collon, P., Renard, P., Viseur, S., 2021. Analysis and stochastic simulation of geometrical properties of conduits in karstic networks. Geomorphology 377, 107480. https://doi.org/10.1016/j.geomorph.2020.107480