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Minimum void ratio or maximum packing density is an important soil property in geotechnical engineering.
The minimum void ratio for soil mixtures is usually estimated by methods based on, to some extent, an empirical approach, for example, the AASHTO coarse particle correction method.
There are a few mathematical models in the literature for predicting the variation of minimum void ratio with respect to fines content.
One of the model parameters is the minimum void ratio of the material, and the other one is related to its particles mineralogy.
In the present study, In spite of the reduction in void ratios after carbonation, the total void ratios of the porous concretes exceeded minimum void ratio of 15%% stated in ACI 522 (American Concrete Institute 2010).
In geotechnical engineering, it often requires to estimate the minimum void ratio for a sand silt mixture with any amount of fines content, based only on few laboratory test results.
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The developed model only requires two parameters for the prediction of minimum void ratios of soil mixtures with various fines contents.
Furthermore, based on the extended mathematical model, the relationship between the maximum and the minimum void ratios of a sand-silt mixture can be derived.
Consequently, the mathematical model previously proposed by the authors for predicting minimum void ratios of sand-silt mixtures is extended to be capable of predicting the maximum void ratios of sand-silt mixtures due to the influence of fines content.
Specific gravity of the sand particles (GS), and maximum and minimum void ratios of respectively 2.65, 0.821, and 0.487 were measured following the ASTM standard procedures (ASTM Standard D854 2014; ASTM Standard D4253 (2006; ASTM Standard D4254 2006).
The validity of the derived linear relationship between the maximum and the minimum void ratios of a sand-silt mixture is also verified by the measured results from experiments.
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