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Many people wonder that why the soil looks bulkier after excavation. The answer is that with increase in voids, the volume of soil increases and thus the soil pile looks bulkier. Here is a mathematical formula for this change in soil volume
Vb = VbL = (100/(100 + % swell))VL
Vb = original volume, yd3 (m3),
VL = loaded volume, yd3 (m3),
L = load factor
Similarly when we compact the soil, its volume decrease as voids are now filled.
Vc = VbS
Vc = compacted volume, yd3 (m3)
S = shrinkage factor.
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