Comparing connected structures in ensemble of random fields - Université de Lorraine Accéder directement au contenu
Article Dans Une Revue Advances in Water Resources Année : 2016

Comparing connected structures in ensemble of random fields

Résumé

Very different connectivity patterns may arise from using different simulation methods or sets of parameters, and therefore different flow properties. This paper proposes a systematic method to compare ensemble of categorical simulations from a static connectivity point of view. The differences of static connectivity cannot always be distinguished using two point statistics. In addition, multiple-point histograms only provide a statistical comparison of patterns regardless of the connectivity. Thus, we propose to characterize the static connectivity from a set of 12 indicators based on the connected components of the realizations. Some indicators describe the spatial repartition of the connected components, others their global shape or their topology through the component skeletons. We also gather all the indicators into dissimilarity values to easily compare hundreds of realizations. Heat maps and multidimensional scaling then facilitate the dissimilarity analysis. The application to a synthetic case highlights the impact of the grid size on the connectivity and the indicators. Such impact disappears when comparing samples of the realizations with the same sizes. The method is then able to rank realizations from a referring model based on their static connectivity. This application also gives rise to more practical advices. The multidimensional scaling appears as a powerful visualization tool, but it also induces dissimilarity misrepresentations: it should always be interpreted cautiously with a look at the point position confidence. The heat map displays the real dissimilarities and is more appropriate for a detailed analysis. The comparison with a multiple-point histogram method shows the benefit of the connected components: the large-scale connectivity seems better characterized by our indicators, especially the skeleton indicators.
Fichier principal
Vignette du fichier
2016Pap_Rongier_AdWatRes_PreprintRGate.pdf (5.64 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01351694 , version 1 (05-08-2016)

Identifiants

Citer

Guillaume Rongier, Pauline Collon, Philippe Renard, Julien Straubhaar, Judith Sausse. Comparing connected structures in ensemble of random fields. Advances in Water Resources, 2016, 96, pp.145-169. ⟨10.1016/j.advwatres.2016.07.008⟩. ⟨hal-01351694⟩
343 Consultations
270 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More