Seepage Analysis of The Structure with Cracks Based on XFEM

Zhong-Yan Huo*, 1, Guang-Xuan Qian2, Dong-Jian Zheng3
1 College of Port and Waterway Engineering, Zhejiang Ocean University, Zhoushan, Zhejiang, 316000, China
2 Environmental Health Management Office of Dinghai District, Zhoushan, Zhejiang, 316000, China
3 College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, 210098, China

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© 2015 Huo et al;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Changzhou Road, Zhoushan, Zhejiang, China. Postcard: 316000; Tel: + 86 188570931601; E-mail:


For the difficulty of applying classical fracture criteria to the actual hydraulic engineering and simulating the process of cracking by conditional FEM, the XFEM was introduced in the analysis of the seepage field in hydraulic structures in this paper. Firstly, the enriched forms of nodes are analyzed in the elements intersecting with cracks, and then the enriched functions were built, which could either reflect the features of conductivity matrix within cracks, or satisfy the condition that osmotic pressure is continuous across the crack. Thus, the XFEM approximation form was obtained. Finally, combining the initial conditions and boundary conditions, the discrete equations and workflow of XFEM for solving the seepage field were established. The case study shows that the method is reasonable and reliable.

Keywords: Crack, Seepage filed, XFEM, Enriched function, Hydro-Mechanical, FEM.