Physical Meaning Interpretation of Accurate Solution for Terzaghi's Three-dimensional Consolidation Equation under One-dimensional Condition
LI Yan-de
Abstract
LI Yan-de
Abstract
The coupling equations of displacement and pore water pressure in Terzaghi's one-dimensional consolidation theory are established here.It is showed that the solving of Biot's consolidation equation would depend on such coupling relationship,but it is not the superiority of Biot's theory compared with Terzaghi's theory.The true meaning of the coupling equations is to play the part of the necessary mathematical condition for solving Biot's consolidation equation with more unknowns.The relevant achievement could contribute to a better understanding on the essence of the consolidation equations and related issues,and promote the application of them.
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The coupling equations of displacement and pore water pressure in Terzaghi's one-dimensional consolidation theory are established here.It is showed that the solving of Biot's consolidation equation would depend on such coupling relationship,but it is not the superiority of Biot's theory compared with Terzaghi's theory.The true meaning of the coupling equations is to play the part of the necessary mathematical condition for solving Biot's consolidation equation with more unknowns.The relevant achievement could contribute to a better understanding on the essence of the consolidation equations and related issues,and promote the application of them.
Key concepts: Terzaghi's principle, Biot number, Consolidation (business), Mathematics, Pore water pressure, Geotechnical engineering, Mathematical analysis, Applied mathematics