HOU Xiao-ping, XU Qing, CHEN Sheng-hong. An air element method for overflow boundary problem in seepage analysis[J]. 2015, 36(8): 2345-2351.DOI: 10.16285/j.rsm.2015.08.030.
According to the principle of the air element method
which is used to model drainage holes in seepage analysis
a layer of air elements with higher permeability is attached to any possible overflow boundary in the seepage field
and these air elements are included along with the entity elements in a common finite element analysis of seepage
so that the overflow boundary can be automatically solved. The proposed method can not only avoid the numerical iteration in calculating the overflow boundary as in current methods
but also resolve the issues related to the inefficiency and divergence associated with the inaccurate positioning of overflow boundary. The numerical examples indicate that the calculation accuracy of the air element method is correlated with the permeability of air element but independent of its thickness. Once if the relevant parameters are well selected
the proposed method can precisely approach the current ones. Furthermore
the interface film element is introduced into the air element method in order to improve the poor imitation occurring at the contact surface between strong and weak permeable media. Finally
the application of seepage calculation in Xiaowan dam section #22 demonstrates the validity and applicability of the proposed method.