The Theoretical Packing Density Model (TPDM): A versatile model for estimating the minimum void ratio of binary soil mixtures.

Understanding the behavior of sand-fines mixtures and assessing their shear strength or permeability require knowledge influence fine particles content on minimum void ratio. The latter is often evaluated using empirical methods models parameters without physical significance. Validated for both ordered disordered packings concrete mixtures, Theoretical Packing Density Model (TPDM) tested predicting ratio binary whatever fines content. It requires only two parameters: critical cavity size x 0 from which loosening effect occurs compaction index K describing packing efficiency. Previously collected data 30 soil including river, lake, mountain crushed sands representing 285 individual specimens ratios are available, were used. coefficient determination provided by TPDM equal to 0.968 average, greater than 0.99 30% mixtures. Thanks , mathematical model therefore capable capture non-linear variation with respect solid volume fraction particles. Finally, a method proposed approximate value be used as function combination shapes coarse • applied objective predict Only significance must determined. These index.