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An analytical solution for self-weight consolidation based on one-dimensional small-strain consolidation wave theory.
- Source :
-
Géotechnique . Jul2022, Vol. 72 Issue 7, p583-595. 13p. - Publication Year :
- 2022
-
Abstract
- Terzaghi's consolidation theory neglects inertial effects on the consolidation of saturated soils. To quantify the inertial effects, in this paper an original one-dimensional small-strain consolidation wave (C-wave) theory is developed, based upon a proposed modified Darcy's law with relaxation time and the equation of motion for soil ensemble. The one-dimensional governing equations were first formulated for self-weight consolidation, followed by a closed-form solution employing the method of separation of variables. The proposed model was then validated against wave velocity measurements and verified against finite-difference analysis. The half-closed self-weight consolidation behaviour was subsequently investigated, compared with Terzaghi's theory, Fillunger–Heinrich's dynamic theory and the u–p form of Biot's wave theory. This research indicates that: (a) superior to conventional models under comparison, the C-wave model enhances the predictability of the C-wave velocity; (b) the dimensionless C-wave coefficient (Cw) dominates the fundamental consolidation behaviour; (c) a wave-diffusion duality underlying the consolidation mechanism contributes qualitatively to the spatial bottom-up pattern and temporal response delay in consolidation observations; and (d) Terzaghi's theory can afford a practically accurate solution provided the Cw and time factor are below and above approximately 0·01, respectively. The C-wave theory may enrich the understanding of consolidation-related phenomena involving an appreciable Cw. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00168505
- Volume :
- 72
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Géotechnique
- Publication Type :
- Academic Journal
- Accession number :
- 157360000
- Full Text :
- https://doi.org/10.1680/jgeot.20.P.023