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(Solved): 1. ( 6 points) Known soil water content w, soil particle specific gravity \( \mathrm{G}_{\mathrm{s} ...




1. ( 6 points) Known soil water content w, soil particle specific gravity \( \mathrm{G}_{\mathrm{s}} \), soil natural density
1. ( 6 points) Known soil water content w, soil particle specific gravity \( \mathrm{G}_{\mathrm{s}} \), soil natural density \( \rho \), water density \( \rho_{w} \). Assuming that the soil particle volume \( V_{\mathrm{s}}=1 \), try to find out the expressions of each mass component \( \left(m_{s}, m_{w}\right) \) and volume component \( \left(V_{v}, V_{w}, V\right) \) of soil respectively, and then find out the expression of void ratio e according to the definition. Solution:


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Given that known soil content w, soil particle specific gravity G, soil natural densi
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