A domain decomposition approach to pore-network modeling of porous media flow
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918270467047424 |
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| author | Sun, Shuyu Wang, Zhangchengrui Zhang, Lei Zhao, Jijing |
| author_facet | Sun, Shuyu Wang, Zhangchengrui Zhang, Lei Zhao, Jijing |
| contents | We propose a domain-decomposition pore-network method (DD-PNM) for modeling single-phase Stokes flow in porous media. The method combines the accuracy of finite-element discretizations on body-fitted meshes within pore subdomains with a sparse global coupling enforced through interface unknowns. Local Dirichlet-to-Neumann operators are precomputed from finite-element solutions for each pore subdomain, enabling a global Schur-complement system defined solely on internal interfaces. Rigorous mathematical analysis establishes solvability and discrete mass conservation of the global system. Moreover, we constructively recover classical pore-network models by fitting half-throat conductivities to local Dirichlet-to-Neumann maps, providing a principled bridge between mesh-based and network-based frameworks. Numerical results are presented to demonstrate the validity and effectiveness of the overall methodology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13429 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A domain decomposition approach to pore-network modeling of porous media flow Sun, Shuyu Wang, Zhangchengrui Zhang, Lei Zhao, Jijing Numerical Analysis We propose a domain-decomposition pore-network method (DD-PNM) for modeling single-phase Stokes flow in porous media. The method combines the accuracy of finite-element discretizations on body-fitted meshes within pore subdomains with a sparse global coupling enforced through interface unknowns. Local Dirichlet-to-Neumann operators are precomputed from finite-element solutions for each pore subdomain, enabling a global Schur-complement system defined solely on internal interfaces. Rigorous mathematical analysis establishes solvability and discrete mass conservation of the global system. Moreover, we constructively recover classical pore-network models by fitting half-throat conductivities to local Dirichlet-to-Neumann maps, providing a principled bridge between mesh-based and network-based frameworks. Numerical results are presented to demonstrate the validity and effectiveness of the overall methodology. |
| title | A domain decomposition approach to pore-network modeling of porous media flow |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.13429 |