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Combined Experimental and Analytical Solution Of Nonlinear Consolidation Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 05 مهر 1405 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70597.3517 | ||
| نویسندگان | ||
| Arash Havvaei1؛ Reza Goli Ejlali* 2؛ Mehrdad Lakestani3؛ Fariba Behrooz Sarand1 | ||
| 1Department of Civil Engineering, Ta. C., Islamic Azad University, Tabriz, Iran | ||
| 2Department of Civil Engineering, Ta.C., Islamic Azad University, Tabriz, Iran | ||
| 3Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran | ||
| چکیده | ||
| In this study, modifications were made to the conventional oedometer apparatus by installing a pore water pressure sensor at the base of the soil specimen cell. This setup enabled the direct measurement of pore water pressure during consolidation at different times, providing valuable insight into the internal behavior of soil under loading. Based on the recorded data, a time-dependent consolidation coefficient was defined as a function of pore water pressure variation. To accurately represent the pore pressure dissipation trend, a double-exponential function was employed, ensuring high precision in curve fitting. Subsequently, the one-dimensional Terzaghi consolidation equation was solved in a nonlinear framework using the spectral-finite difference method in combination with Chebyshev cardinal functions. The obtained results demonstrated excellent accuracy, surpassing the conventional finite difference method and providing predictions closer to realistic soil behavior. This approach highlights the advantages of integrating advanced mathematical techniques with experimental modifications to enhance the understanding of soil consolidation processes. | ||
| کلیدواژهها | ||
| consolidation coefficient؛ pore water pressure؛ nonlinear behavior؛ modeling؛ Chebyshev cardinal functions | ||
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