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Analytical Solution to the Seepage Field of Two Parallel Noncircular Tunnels in Permeable Anisotropic Ground
https://orcid.org/http://orcid.org/0000-0003-3877-6042
https://orcid.org/http://orcid.org/0000-0002-0265-1195
https://orcid.org/http://orcid.org/0000-0002-9578-8552
This paper provides an analytical solution and solving procedure for the seepage field around two noncircular tunnels in anisotropic permeable ground. The anisotropic problem is first made equivalent to an isotropic problem by coordinate transformation. Then, by using Schwartz alternate method and conformal mapping, a precise analytical solution is obtained based on the anisotropic problem of single tunnel with redundant hydraulic heads at tunnel boundary. The noncircular tunnel interaction and the permeable anisotropy are considered accurately. The iterative procedure is simple and efficient in its calculations, and achieves good convergence. The results of the analytical model are compared with the finite element results, and show good agreement. Finally, some parametric studies are present to research the influences of tunnel shapes and the anisotropic permeability ratio on the seepage field, and the effect of the location of the pilot tunnel on the seepage field of the primary tunnel is also investigated.
Analytical Solution to the Seepage Field of Two Parallel Noncircular Tunnels in Permeable Anisotropic Ground
https://orcid.org/http://orcid.org/0000-0003-3877-6042
https://orcid.org/http://orcid.org/0000-0002-0265-1195
https://orcid.org/http://orcid.org/0000-0002-9578-8552
This paper provides an analytical solution and solving procedure for the seepage field around two noncircular tunnels in anisotropic permeable ground. The anisotropic problem is first made equivalent to an isotropic problem by coordinate transformation. Then, by using Schwartz alternate method and conformal mapping, a precise analytical solution is obtained based on the anisotropic problem of single tunnel with redundant hydraulic heads at tunnel boundary. The noncircular tunnel interaction and the permeable anisotropy are considered accurately. The iterative procedure is simple and efficient in its calculations, and achieves good convergence. The results of the analytical model are compared with the finite element results, and show good agreement. Finally, some parametric studies are present to research the influences of tunnel shapes and the anisotropic permeability ratio on the seepage field, and the effect of the location of the pilot tunnel on the seepage field of the primary tunnel is also investigated.
Analytical Solution to the Seepage Field of Two Parallel Noncircular Tunnels in Permeable Anisotropic Ground
https://orcid.org/http://orcid.org/0000-0003-3877-6042
https://orcid.org/http://orcid.org/0000-0002-0265-1195
https://orcid.org/http://orcid.org/0000-0002-9578-8552
This paper provides an analytical solution and solving procedure for the seepage field around two noncircular tunnels in anisotropic permeable ground. The anisotropic problem is first made equivalent to an isotropic problem by coordinate transformation. Then, by using Schwartz alternate method and conformal mapping, a precise analytical solution is obtained based on the anisotropic problem of single tunnel with redundant hydraulic heads at tunnel boundary. The noncircular tunnel interaction and the permeable anisotropy are considered accurately. The iterative procedure is simple and efficient in its calculations, and achieves good convergence. The results of the analytical model are compared with the finite element results, and show good agreement. Finally, some parametric studies are present to research the influences of tunnel shapes and the anisotropic permeability ratio on the seepage field, and the effect of the location of the pilot tunnel on the seepage field of the primary tunnel is also investigated.
Analytical Solution to the Seepage Field of Two Parallel Noncircular Tunnels in Permeable Anisotropic Ground
KSCE J Civ Eng
Wei, Fengran (author) / Wang, Huaning (author) / Zeng, Guangshang (author) / Jiang, Mingjing (author)
KSCE Journal of Civil Engineering ; 26 ; 5328-5341
2022-12-01
14 pages
Article (Journal)
Electronic Resource
English
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