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For clean sands one can use Hazen's equation: k = C.(D10)^2 D10 = diameter for 10% finer You can use an average value for C, C = 1. If you take D10 in mm, your k value will come out as cm/s. If you have even small amount of fines (clays/silts) this may reduce your k dramatically. So Hazen's k...

Preloading can be a good idea when dealing with peats. There is a good paper "Secondary Compression of Peat with or without Surcharging" (1997) by Professor Mesri at the University of Illinois at Urbana-Champaign, who has done extensive work on peats. I recommend contacting him if you need...