@article{fdi:010020216, title = {{G}eneralizing the fractal model of soil structure : the pore-solid fractal approach}, author = {{P}errier, {E}dith and {B}ird, {N}. and {R}ieu, {M}ichel}, editor = {}, language = {{ENG}}, abstract = {{W}e reveiw a generalized approach to modeling soil structures, which exhibit scale invariant, or self-similar local structure over a range of scales. {W}ithin this approach almost all existing fractal models of soil structure feature as special albeit degenerate cases. {A} general model is considered which is shown to exhibit either a fractal or nonfractal pore surface depending on the model parameters. {W}ith the exception of two special cases corresponding to a solid mass fractal and a pore mass fractal the model displays symmetric power law or fractal pore size and solid size distributions. {I}n this context the model provides an example of a porous structure in which pore sizes can be inferred from associated solid particle sizes through this symmetry. {A}gain with two exceptions the model is shown to exhibit scaling of solid and pore volumes as a function of the resolution of measurement contrary to that of a mass fractal structure and to possess porosity other than zero or unity when local structure is included at arbitrarily small scales contrary to the situation arising in the case of a solid mass fractal and a pore mass fractal model respectively. {C}onsequently the model not only generalizes the fractal approach to modeling soil structure but introduces properties central to the characterization of a soil which are quite distinct from those exhibited by existing fractal models. {T}he model thus offers a wider scope for modeling self-similar multiscale soil structures than that currently operating. ({R}{\'e}sum{\'e} d'auteur)}, keywords = {{STRUCTURE} {DU} {SOL} ; {POROSITE} ; {MODELISATION} ; {FRACTAL}}, booktitle = {}, journal = {{G}eoderma}, volume = {88}, numero = {}, pages = {137--164}, ISSN = {0016-7061}, year = {1999}, DOI = {10.1016/{S}0016-7061(98)00102-5}, URL = {https://www.documentation.ird.fr/hor/fdi:010020216}, }