Local Analytical Solution of One Dimension Consolidation Equation
One dimension consolidation equation can be transformed into a fractional differential equation by Laplace transform. The transformed equation can leads to a simple relation between pore water pressure and its time revolution. When local rate of change of the pore water pressure is determined, the local pore water pressure can be obtained without having to solve the consolidation equation within the entire domain. The simplicity of the solution procedure is highlighted considering by a example..
Chaohe Chen, Yong Huang and Guangfan Li
B. Feng et al., "Local Analytical Solution of One Dimension Consolidation Equation", Advanced Materials Research, Vols. 243-249, pp. 3113-3116, 2011