Investigation of a Voronoi-Based Hybrid Seepage Flux Finite Element Method

LUO Chao; ZHANG Rui; GUO Ran; GAI Wenhai

doi:10.21656/1000-0887.460148

Volume 47 Issue 6

Jun. 2026

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LUO Chao, ZHANG Rui, GUO Ran, GAI Wenhai. Investigation of a Voronoi-Based Hybrid Seepage Flux Finite Element Method[J]. Applied Mathematics and Mechanics, 2026, 47(6): 712-722. doi: 10.21656/1000-0887.460148

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Investigation of a Voronoi-Based Hybrid Seepage Flux Finite Element Method

doi: 10.21656/1000-0887.460148

LUO Chao¹,
ZHANG Rui^{1
,
,},
GUO Ran¹,
GAI Wenhai²

1. Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming 650500, P.R. China;
2. School of Highway and Construction Engineering, Yunnan Communications Vocational and Technical College, Kunming 650500,P.R. China

Funds:

The National Science Foundation of China(12062007)

Received Date: 2025-08-19
Rev Recd Date: 2025-09-12

Available Online: 2026-07-03

Publish Date: 2026-06-01

Abstract

Abstract

The soil-rock mixtures and naturally anisotropic dam foundations were treated as composite porous media, and the seepage flow was assumed to follow 2D Darcy’s law with continuous hydraulic head distributions within the soil-rock mixture. A hybrid seepage flux finite element method (HS-FEM) model was developed for analyzing seepage fields in soil-rock mixtures with interfaces and anisotropic homogeneous dam foundations. For this model, independently assumed higher-order seepage flux variables was adopted within element domains with hydraulic head values prescribed on element boundaries. Only a limited number of elements were required to effectively simulate confined seepage conditions involving soil-rock interfaces, thereby to overcome the drawback of traditional FEMs necessitating dense mesh refinement at material interfaces. Additionally, the method is capable of solving 2D orthotropic steady-state linear seepage problems. Numerical examples demonstrate that the proposed HS-FEM achieves comparable accuracy to traditional dense-mesh FEMs while maintaining computational efficiency through sparse discretization.
- hybrid seepage flux finite element method (HS-FEM),
- seepage analysis,
- composite material

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References(31)

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