Dynamic Characterization of One-Dimensional Consolidation: A Rationalized Haar Wavelet Transform Approach for Variable Coefficient of Consolidation

The classical theory of one‑dimensional consolidation, originally developed by Terzaghi, is based on the simplifying assumption that the coefficient of consolidation (Cv) remains constant throughout the dissipation of excess pore water pressure. In practical geotechnical engineering applications, however, saturated cohesive soils frequently exhibit permeability and compressibility that vary with both time and depth, leading to a coefficient of consolidation that is inherently non‑uniform. To address this limitation, the present study introduces an analytical framework that incorporates the Rationalized Haar Wavelet Transform for solving the one‑dimensional consolidation equation with variable (Cv). Two functional forms are proposed to represent (Cv) as explicit functions of time and space, enabling a more realistic characterization of soil behavior during consolidation. The results demonstrate that accounting for variable (Cv) produces higher excess pore pressure predictions compared with the classical constant‑parameter solution, thereby increasing the estimated duration required to achieve full consolidation. This outcome indicates that traditional analyses may underestimate consolidation times in engineering design. Furthermore, the proposed methodology offers substantial flexibility by allowing a wide range of explicit (Cv) functions to be incorporated, making it adaptable to diverse soil conditions and site‑specific characterization. The study underscores the significance of incorporating variable soil properties in consolidation analysis and provides a robust computational approach for advanced geotechnical modeling.

کلیدواژه ها:

Variable coefficient of consolidation ، Time and spatial variation ، Rationalized Haar wavelet transform ، Nonlinear consolidation