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<p>Most existing finite difference methods for solving the unsaturated soil consolidation problems are based on the explicit format. We propose a high-precision implicit difference (HPI) method to improve the computational accuracy and speed. The stability of the proposed numerical solution is verified using the von Neumann criterion. An example considering constant loading demonstrates the reliability of the HPI solution. Then, two examples under time-dependent loading confirm that the HPI scheme is significantly superior to the explicit difference method (EDM). Finally, the HPI solution is used to investigate the consolidation behavior of the unsaturated soil under exponential and sinusoidal loads.</p>

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An Optimized Numerical Validation for Unsaturated Soil Consolidation Under Time-Dependent Loading

  • 期刊论文

  • 发表日期：

    2026年1月31日

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  • Qian He,
  • Quan Yuan,
  • Lin Lang

摘要

Most existing finite difference methods for solving the unsaturated soil consolidation problems are based on the explicit format. We propose a high-precision implicit difference (HPI) method to improve the computational accuracy and speed. The stability of the proposed numerical solution is verified using the von Neumann criterion. An example considering constant loading demonstrates the reliability of the HPI solution. Then, two examples under time-dependent loading confirm that the HPI scheme is significantly superior to the explicit difference method (EDM). Finally, the HPI solution is used to investigate the consolidation behavior of the unsaturated soil under exponential and sinusoidal loads.