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A local parallel FEM for super-hydrophobic proppants in a hydraulic fracturing system based on a 2D/3D transient triple-porosity Navier-Stokes model
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DOI：10.1016/j.camwa.2026.03.023.png)
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Abstract
En 中文
A hydraulic fracturing system with super-hydrophobic proppants is characterized by a transient triple-porosity Navier-Stokes model. For this complex multiphysics system, particularly in the context of a three-dimensional model, a local parallel and non-iterative finite element method based on two-grid discretizations is proposed. The underlying idea behind utilizing the local parallel approach is to combine a decoupled method, a two-grid method and a domain decomposition method. The strategy allows us to initially capture low-frequency data across the decoupled domain using a coarse grid. Then it tackles high-frequency components by solving residual equations within overlapping subdomains by employing finer grids and local parallel procedures at each time step. By utilizing this approach, an improvement in computational efficiency can be achieved. Furthermore, the convergence results of the approximate solutions from the algorithm are obtained. Finally, we perform 2D/3D numerical experiments to demonstrate the effectiveness and efficiency of the algorithm as well as to illustrate its advantages in application.
Keywords:
Hydraulic fracturing system
Super-hydrophobic proppant
Transient triple-porosity Navier-Stokes model
Local and parallel algorithm
Overlapping domain decomposition method
Journal
C
IF:
2.5
Papers:
186
Citations:
0
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