Studies of binary packing mixtures provide beneficial insight into the effects of fines content on the void ratio of multi-sized granular materials. There are some mathematical models that predict the limit void ratios, however, the results obtained through these models have shown some discrepancies with the experimentally measured limit void ratios. To overcome this issue, the target of this study was to extend the mathematical model previously proposed by the authors for estimating minimum void ratios of soil mixtures to predict the maximum void ratios of soil mixtures. The extended model is verified by data from 37 soil mixtures with various soil samples. The predictions fitted well with the experimental results with various fines content for both coarse- and fine-dominant regions with the root mean square error equal to 0.043. Moreover, 44 tests were conducted on 22 different mixed graded soil samples from the Nakdong river soil in Busan to obtain the minimum and maximum void ratios. The predictions of the test results for the minimum and maximum void ratios via the model confirmed the applicability of the proposed model.
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