Université de Neuchâtel

Binary upscaling on complex heterogeneities : The role of geometry and connectivity

Oriani, Fabio ; Renard, Philippe

In: Advances in Water Resources, 2014, vol. 64, p. 47-61

The equivalent conductivity (Keq) of a binary medium is known to vary with the proportion of the two phases, but it also depends on the geometry and topology of the inclusions. In this paper, we analyze the role of connectivity and shape of the connected components through a correlation study between Keq and two topological and geometrical indicators: the Euler...

Université de Neuchâtel

A methodology for pseudo-genetic stochastic modelling of discrete fracture networks

Bonneau, François ; Henrion, Vincent ; Caumon, Guillaume ; Renard, Philippe ; Sausse, Judith

In: Computers & Geosciences, 2013, vol. 56, p. 12-22

Stochastic simulation of fracture systems is an interesting approach to build a set of dense and complex networks. However, discrete fracture models made of planar fractures generally fail to reproduce the complexity of natural networks, both in terms of geometry and connectivity. In this study a pseudo-genetic method is developed to generate stochastic fracture models that are consistent...

Université de Neuchâtel

Connectivity metrics for subsurface flow and transport

Renard, Philippe ; Allard, Denis

In: Advances in Water Resources, 2013, vol. 51, p. 168–196

Understanding the role of connectivity for the characterization of heterogeneous porous aquifers or reservoirs is a very active and new field of research. In that framework, connectivity metrics are becoming important tools to describe a reservoir. In this paper, we provide a review of the various metrics that were proposed so far, and we classify them in four main groups. We define first the...