A2m thick extensive fill is to be placed directly onto a 2 m thick layer of saturated sandy gravel, below which is a 6m thick layer of saturated clay. the fill will have a unit weight of 20 kn/m^3 after placement. the sandy gravel layer has a unit weight of 18 kn/m3 , an initial void ratio of 0.65, a swell index of 0.008, a compression index of 0.0122, and an initial void ratio of 0.60. the clay layer has a unit weight of 15.9 kn/m^3 , an initial void ratio of 1.10, a recompression index of 0.15, and compression index of 0.378. the preconsolidation stresses for the sandy gravel and clay were estimated to be 26 kn/m^3 and 40 kn/m^3 , respectively.
1. determine the ultimate consolidation for the site due to the addition of the extensive fill. clearly state any assumptions made for your solution (you may neglect those required for the method, e. g. homogenous, isotropic, state what you are doing at each step of your solution.