GSTDTAP  > 资源环境科学
DOI10.1029/2020WR028775
Numerical and analytical modeling of flow partitioning in partially saturated fracture networks – Revision 1
Jannes Kordilla; Marco Dentz; Alexandre M. Tartakovsky
2021-02-11
发表期刊Water Resources Research
出版年2021
英文摘要

Infiltration processes in fractured‐porous media remain a crucial, yet not very well understood component of recharge and vulnerability assessment. Under partially‐saturated conditions flows in fractures, percolating fracture networks, and fault zones contribute to the fastest spectrum of infiltration velocities via preferential pathways. Specifically, the partitioning dynamics at fracture intersections determine the magnitude of flow fragmentation into vertical and horizontal components and hence the bulk flow velocity and dispersion of fracture networks. Here we derive an approximate analytical solution for the partitioning process and validate it using smoothed particle hydrodynamics simulations. The transfer function is conceptually based on simulation results and laboratory experiments carried out in previous works. It allows to efficiently simulate flow through fracture networks with simple cubic structure and arbitrary number of fractures and aperture sizes via linear response theory and convolution of a given input signal. We derive a non‐dimensional bulk flow velocity (urn:x-wiley:00431397:media:wrcr25145:wrcr25145-math-0001) and dispersion coefficient (urn:x-wiley:00431397:media:wrcr25145:wrcr25145-math-0002) to characterize fracture networks in terms of dimensionless horizontal and vertical time scales τm and τ0. The dispersion coefficient strongly depends on the horizontal time scale and converges towards a constant value of 0.08 within reasonable fluid and geometrical parameter ranges, while the non‐dimensional velocity exhibits a characteristic urn:x-wiley:00431397:media:wrcr25145:wrcr25145-math-0003 scaling. Given that hydraulic information is often only available at limited places within (fractured‐porous) aquifer systems (boreholes or springs), our study intends to provide an analytical concept to potentially reconstruct internal fracture network geometries from external boundary information, e.g., the dispersive properties of discharge (groundwater level fluctuations).

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文献类型期刊论文
条目标识符http://119.78.100.173/C666/handle/2XK7JSWQ/313867
专题资源环境科学
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Jannes Kordilla,Marco Dentz,Alexandre M. Tartakovsky. Numerical and analytical modeling of flow partitioning in partially saturated fracture networks – Revision 1[J]. Water Resources Research,2021.
APA Jannes Kordilla,Marco Dentz,&Alexandre M. Tartakovsky.(2021).Numerical and analytical modeling of flow partitioning in partially saturated fracture networks – Revision 1.Water Resources Research.
MLA Jannes Kordilla,et al."Numerical and analytical modeling of flow partitioning in partially saturated fracture networks – Revision 1".Water Resources Research (2021).
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