@article{fdi:010053145, title = {{M}ultiscale percolation properties of a fractal pore network}, author = {{B}ird, {N}. {R}. {A}. and {P}errier, {E}dith}, editor = {}, language = {{ENG}}, abstract = {{N}etwork modelling and percolation theory now occupy a firm niche in soils research, aiding in the simulation and prediction of flow and transport processes. {I}n this study we examine the connectivity properties of a simple parameterized 2{D} fractal network model by direct numerical simulation and theoretically, drawing on upscaling functions from renormalization theory. {W}e demonstrate good agreement between the two approaches and extrapolate to systems inaccessible to direct numerical simulation. {W}e examine the relationship between porosity. the pore-size range and the connectivity of the network. {W}e show that for fixed porosity, the connectivity is a nonlinear function of the range of scales accommodated in the fractal model. {W}e investigate the implications of distributing a fixed porosity over different ranges of pore size and demonstrate a general impairment of pore connectivity and improvement of solid phase continuity as this range is extended.}, keywords = {{P}ercolation ; {R}enormalization ; {C}onnectivity}, booktitle = {}, journal = {{G}eoderma}, volume = {160}, numero = {1}, pages = {105--110}, ISSN = {0016-7061}, year = {2010}, DOI = {10.1016/j.geoderma.2009.10.009}, URL = {https://www.documentation.ird.fr/hor/fdi:010053145}, }