A Review and Update of Analytical and Numerical Solutions of the Terzaghi One-Dimensional Consolidation Equation

• 作者: Abib Tall Cheikhou Ndiaye Daouda Sangare Mapathe Ndiaye Meissa Fall
• 来源期刊: 土木工程期刊(英文)
• 学科: 数学
• 关键词: PORE Pressure Numerical SOLUTION ANALYTICAL SOLUTION Modeling CONSOLIDATION Time Factor
• 年，卷（期）: 2014,（3）
• 页码范围: 274-284
• 页数: 11页
• 分类号: O1

摘要

Practical resolution of consolidation problems that we often face requires an extensive and solid knowledge of the different parameters highlighted by the Terzaghi one-dimensional consolidation theory. This theory, with its assumptions, leads to a partial differential equation of second order in space and first order in time of pore water pressure. Analytical and numerical resolutions of this equation allow determining the water pressure variation before and after the application of a charge. Numerical modeling has enabled the simulation of the whole results obtained by the two methods of resolution (pressure, degree of consolidation, time factor, among others) to have a physical analysis and a lawful observation that lead to a suitable understanding of the phenomenon of Terzaghi one-dimensional consolidation.