Analytical Solution for the Steady Seepage Field of a Foundation Pit in an Anisotropic Layer
Abstract
:1. Introduction
2. Problem Definition
2.1. Analytical Model
2.2. Analytical Solutions
3. Verification of Proposed Solutions
4. Hydraulic Head Analysis
4.1. Effect of the Anisotropic Coefficient
4.2. Effect of the Foundation Pit Width
4.3. Effect of the Distance between the Retaining Wall and the Impervious Layer
5. Exit Gradient Analysis
5.1. Effect of the Anisotropic Coefficient
5.2. Effect of the Foundation Pit Width
5.3. Effects of the Distance between the Retaining Wall and the Impervious Layer
6. Discussion
7. Conclusions
- The hydraulic heads on both sides of the retaining wall for two-dimensional seepage show a curve distribution. With the increase in the anisotropic coefficient and the decrease in the foundation pit width, the hydraulic heads on both sides of the retaining wall increase continuously. With the increase in the distance between the retaining wall and the impervious layer,, the hydraulic heads outside the retaining wall decrease and those inside the retaining wall increase.
- For two-dimensional seepage, the variation trend of the exit gradient, , is greatly affected by the size of the excavation (, c, and a), and with the gradual increase in the number of series terms, the influence rule and the value become more accurate. By comparing the calculation results of the first 5, 15, and 20 terms of the sum of the series, it can be concluded that the requirements for engineering precision can be met when the calculation accuracy is 20 terms.
- The series solution presented in this paper is simple in form and high in precision, and the obtained results can be used to better observe the influence of two-dimensional geometric parameters. This method makes a certain contribution to improving seepage calculations for coastal foundation pits and can be applied to the seepage problem of layered soil.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A
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Zeng, Y.; Yang, X.; Zhang, C.; Yu, J. Analytical Solution for the Steady Seepage Field of a Foundation Pit in an Anisotropic Layer. Buildings 2024, 14, 1055. https://doi.org/10.3390/buildings14041055
Zeng Y, Yang X, Zhang C, Yu J. Analytical Solution for the Steady Seepage Field of a Foundation Pit in an Anisotropic Layer. Buildings. 2024; 14(4):1055. https://doi.org/10.3390/buildings14041055
Chicago/Turabian StyleZeng, Yulin, Xinxin Yang, Chi Zhang, and Jun Yu. 2024. "Analytical Solution for the Steady Seepage Field of a Foundation Pit in an Anisotropic Layer" Buildings 14, no. 4: 1055. https://doi.org/10.3390/buildings14041055