Rock and Soil Mechanics ›› 2021, Vol. 42 ›› Issue (11): 3147-3156.doi: 10.16285/j.rsm.2021.5340

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Nonlocal peridynamic method for porous media seepage simulation

MA Peng-fei, LI Shu-chen, WANG Xiu-wei, ZHOU Hui-ying, WANG Man-ling, ZHAO Yi-min   

  1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, China
  • Online:2021-11-11 Published:2022-02-23
  • Contact: LI Shu-chen, male, born in 1973, PhD, Professor, research interests: numerical simulation of geotechnical engineering. E-mail:
  • About author: MA Peng-fei, male, born in 1994, PhD candidate, majoring in numerical simulation of geotechnical engineering.
  • Supported by:
    the National Natural Science Foundation of China (Grant Nos.51879150 and 41831278).

Abstract: Based on the establishment of peridynamic nonlocal porous media seepage model, several kernel functions reflecting the degree of nonlocal effect are introduced to improve the calculation accuracy, and the peridynamic permeability coefficients corresponding to different kernel functions are derived. In the two-dimensional seepage model, the Weibull-distributed permeability coefficient model and the fracture network seepage model are established to realize the heterogeneous seepage in porous media matrix and fracture, respectively, which make up for the shortage of classical peridynamic model that cannot well simulate the heterogeneous seepage in porous media such as rock and soil. Different kernel function models are tested in simulating one-dimensional seepage problems, and the influence of kernel functions on simulation results is analyzed. The results show that the improved model can well converge to the theoretical solution, and the polynomial kernel function has the highest convergence accuracy relative to other kernel functions. Then, the polynomial kernel function is introduced into the two-dimensional model, and the corresponding two-dimensional permeability coefficient is derived. The proposed heterogeneous seepage model is employed in the simulation of two-dimensional seepage in porous media with and without fracture, and the simulation results show that the proposed model can well simulate the heterogeneous seepage process in rock materials, proposing a wide application prospect in porous media seepage simulation.

Key words: porous media, peridynamics, nonlocal method, seepage simulation