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Discrete Fracture Matrix Model Applied to the Computation of Water Flow Through the Underground Facility

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Abstract

Mathematical model of groundwater flow in fractured porous media implemented in the GeRa code is presented. It uses the discrete fracture matrix approach which allows for explicit fractures approximation and couples 2D and 3D flow models in fractures and porous matrix respectively. Discretization is done using finite volume method on general conformal polyhedral grids, while 2D surface grids on fractures being the trace of 3D grid in the porous media on the fractures’ surfaces. The model is applied to assess the effect of fracture zones on groundwater flow through a projected radioactive waste deep geological disposal.

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REFERENCES

  1. J. Bear, C. F. Tsang, and G. de Marsily, Flow and Contaminant Transport in Fractured Rock (Academic, San Diego, CA, 1993).

    Book  Google Scholar 

  2. F. V. Grigorev, A. V. Plenkin, and I. V. Kapyrin, ‘‘To the necessity of taking into account the disposal’s structure whilst far field waste input modeling,’’ Radioactive Waste, No. 8, 82–86 (2018).

    Google Scholar 

  3. M. Karimi-Fard, L. J. Durlofsky, and Khalid Aziz, ‘‘An efficient discrete-fracture model applicable for general-purpose reservoir simulators,’’ SPE J. 9, 227–236 (2004).

    Article  Google Scholar 

  4. T. H. Sandve, I. Berre, and J. M. Nordbotten, ‘‘An efficient multi-point flux approximation method for Discrete Fracture Matrix simulations,’’ J. Comput. Phys. 231, 3784–3800 (2012).

    Article  MathSciNet  Google Scholar 

  5. A. V. Plenkin, A. Yu. Chernyshenko, V. N. Chugunov, and I. V. Kapyrin, ‘‘Adaptive unstructured mesh generation methods for hydrogeological problems,’’ Vychisl. Metody Program. 16, 518–553 (2015).

    Google Scholar 

  6. K. V. Martynov and E. V. Zakharova, ‘‘The analysis of localization and the scenario of evolution of DGDF for RW at the Yeniseisky site (Krasnoyarsk region),’’ Radioactive Waste 2 (3), 52–62 (2018) [in Russian].

    Google Scholar 

  7. D. Bagaev, F. Grigorev, I. Kapyrin, I. Konshin, V. Kramarenko, and A. Plenkin, ‘‘Improving parallel efficiency of a complex hydrogeological problem simulation in GeRa,’’ in Supercomputing. RuSCDays 2019, Ed. by V. Voevodin and S. Sobolev, Vol. 1129 of Communications in Computer and Information Science (Springer, Cham, 2019), pp. 265–277.

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Authors and Affiliations

  1. Nuclear Safety Institute of the Russian Academy of Sciences (IBRAE), 115191, Moscow, Russia

    F. V. Grigorev, I. V. Kapyrin & A. V. Plenkin

  2. Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (INM RAS), 119991, Moscow, Russia

    F. V. Grigorev & I. V. Kapyrin

Authors
  1. F. V. Grigorev
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  2. I. V. Kapyrin
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  3. A. V. Plenkin
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Corresponding authors

Correspondence to F. V. Grigorev, I. V. Kapyrin or A. V. Plenkin.

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(Submitted by A. V. Lapin)

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Grigorev, F.V., Kapyrin, I.V. & Plenkin, A.V. Discrete Fracture Matrix Model Applied to the Computation of Water Flow Through the Underground Facility. Lobachevskii J Math 41, 526–532 (2020). https://doi.org/10.1134/S1995080220040101

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  • DOI: https://doi.org/10.1134/S1995080220040101

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