A new multifractal-based grain size distribution model

Previous works related to the application of multifractal theory for analyzing grain size distribution (GSD), showed potential this approach deal with complex issue. However, absence practical kind statistical analysis raised some doubts among soil scientists. Compared experimental dry sieving method, which is based on mass representations different sizes, presented in work relies densities (density indicators) scanned by means X-ray CT (Computed Tomography). By reducing resolution image(s), cumulative representation solid particles equal or larger than actual discretization element can be determined, and described analytically universal multifractals (UM). For validation new UM approach, results three soils were used: volcanic substrate covering Green Wave (a green roof Champs-sur-Marne France), two horizons collected from low land mountain area Sierra de Guadarrama Spain. Comparison between proposed model data these materials confirms that GSD reasonably well predicted images wide range sizes. The model, unlike fractal-based models, accounts fractal dimension depends size, hence, preliminary work, it could rather useful case multi-modal whose curves are multiple dimensions.