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  • 1.
    Hobe, Alex
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Earth Sciences, Department of Earth Sciences, Geophysics. Swiss Fed Inst Technol, Geothermal Energy & Geofluids, Inst Geophys, Zurich, Switzerland.
    Vogler, Daniel
    Swiss Fed Inst Technol, Geothermal Energy & Geofluids, Inst Geophys, Zurich, Switzerland;Swiss Fed Inst Technol, Transport Proc & React Lab, Inst Proc Engn, Zurich, Switzerland.
    Seybold, Martin P.
    Univ Stuttgart, Inst Formal Methods Comp Sci, Stuttgart, Germany.
    Ebigbo, Anozie
    Swiss Fed Inst Technol, Geothermal Energy & Geofluids, Inst Geophys, Zurich, Switzerland.
    Settgast, Randolph R.
    Lawrence Livermore Natl Lab, Atmospher Earth & Energy Div, Livermore, CA USA.
    Saar, Martin O.
    Swiss Fed Inst Technol, Geothermal Energy & Geofluids, Inst Geophys, Zurich, Switzerland.
    Estimating fluid flow rates through fracture networks using combinatorial optimization2018In: Advances in Water Resources, ISSN 0309-1708, E-ISSN 1872-9657, Vol. 122, p. 85-97Article in journal (Refereed)
    Abstract [en]

    To enable fast uncertainty quantification of fluid flow in a discrete fracture network (DFN), we present two approaches to quickly compute fluid flow in DFNs using combinatorial optimization algorithms. Specifically, the presented Hanan Shortest Path Maxflow (HSPM) and Intersection Shortest Path Maxflow (ISPM) methods translate DFN geometries and properties to a graph on which a max flow algorithm computes a combinatorial flow, from which an overall fluid flow rate is estimated using a shortest path decomposition of this flow. The two approaches are assessed by comparing their predictions with results from explicit numerical simulations of simple test cases as well as stochastic DFN realizations covering a range of fracture densities. Both methods have a high accuracy and very low computational cost, which can facilitate much-needed in-depth analyses of the propagation of uncertainty in fracture and fracture-network properties to fluid flow rates.

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