Boundary Element Analysis of the Dual-Cavity Tunneling Seepage

D. Q. Yang (), E. Y. Chen and G. P. Zhao
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D. Q. Yang: Inner Mongolia University for Nationalities
E. Y. Chen: Nanjing University of Scienct & Technology
G. P. Zhao: Fudan University

A chapter in Computational Mechanics, 2007, pp 354-354 from Springer

Abstract: Abstract This paper studies the seepage problem of multi-connected domains and variable coefficients. The boundary element method to the 2-D steady variable coefficients seepage problem with sources is deduced and the distributions of pressure around the dual-cavity tunnels are calculated. And the effect of permeable parameters’ variety on distributions of the pressure is studied. In order to verify the validity and precision of the method, we calculate the zone model with analytical solutions and implement comparison of analytical and numerical solutions. Comparison of analytical and numerical solutions is shown. The maximum of relative error is 0.019 and the minimum of relative error is 9.02E-04, which illustrate that it can approach to a higher accuracy only needing to divide the boundary into a lesser elements by using boundary element method. Furthermore, the steady seepage around the dual-cavity tunnels under 2-D anisotropy-orthonormal infinite groundwater domain is studied by using boundary element method. The distributions of the pressure around the dual-cavity tunnels are obtained, and the effect of permeable parameters’ variety on the pressure is studied as well. The results show that it is convenient fast and accurate to handle seepage problem by using boundary element method and does not need certain supplementary conditions in infinite and semi-infinite domains. It provides the theoretical referential value for application of the practical engineering.

Date: 2007
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DOI: 10.1007/978-3-540-75999-7_154

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