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This analysis demonstrates a two-dimensional consolidation model in engineering, suggesting better predictions for settlement and stability in layered grounds.
Natural double-layered ground and artificially treated composite ground are prevalent in engineering, yet they pose substantial challenges related to consolidation and settlement, often affecting the long-term stability and safety of structures. This paper establishes a two-dimensional consolidation model for double-layered ground based on Terzaghi’s multidimensional consolidation theory. The model considers horizontal drainage boundary conditions and the two-dimensional stress distribution that more accurately reflects the complex mechanical behavior of such ground. By using the separation of variables, the solutions for pore-water pressure and the degree of consolidation are derived. Compared with the classical solutions and results of numerical simulation, the correctness and rationality of the solution are verified. Based on the proposed solution, the study analyzes the influence of different factors on consolidation process, offering valuable guidance for engineering practice. Furthermore, the solution considering multistage loading is derived and verified by an engineering case study. These solutions can be directly applied to practical engineering, enabling more precise predictions of settlement and consolidation, thereby improving the efficiency and accuracy of engineering design.
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Li et al. (2026) studied this question.
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