The theoretical solution of two dimensional biot’s consolidation of layered soils

Based on Biots theory , the two dimensional consolidation problems of layered soils are studied by means of integral transform method and the arithmetic method. The general integral solutions of stress (including pore pressure) and displacement (including fluid flow) in any layer are derived with the loading acting on the surface of soils. According to the methods proposed in this paper, the consolidation solution of “Mindlin” problem in layered soils can also be achieved. The results obtained in the paper can be utilized to solve the two dimensional consolidation of layered soils by boundary method.