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Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow

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  • Xu-dong Zhao
  • Wen-hui Gong

Abstract

In this paper, based on non-Darcian flow, the governing equation of 1D nonlinear large strain consolidation is established, which comprehensively accounts for vertical strain, soil self-weight, geometrical nonlinearity, continuity of pore water flow, the relative velocity of the fluid and solid phases, and changing compressibility and hydraulic conductivity during consolidation. Then the numerical solution is obtained with the finite difference method (FDM). Verification of the FDM solution shows excellent accuracy. On this basis, we investigate the influence of the non-Darcian flow on consolidation behavior. The results show that the increase of the non-Darcian exponent will accelerate the consolidation rate in the beginning, while slowing down the consolidation rate in the end. However, it has no effect on the final settlement of the soil layer. In addition, boundary drainage conditions have a huge impact on the consolidation rate, whether it is Darcian or non-Darcian flow.

Suggested Citation

  • Xu-dong Zhao & Wen-hui Gong, 2019. "Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-14, May.
    • Handle: RePEc:hin:jnlmpe:5745068
    DOI: 10.1155/2019/5745068
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