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Hybrid Dimensional Modelling and Discretization of Two Phase Darcy Flow through DFN in Porous Media

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Academic year: 2021

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Figure 1: Example of a 2D domain Ω and 3 intersecting fractures Γ i , i = 1, 2, 3. We define the fracture plane orientations by a ± (i) ∈ χ for Γ i , i ∈ I.
Figure 2: Illustration of the coupling condition. It can be seen as an  up-wind two point approximation of q α f,n
Figure 3: Left: Illustration of d.o.f. in 2D for four cells intersected by three fractures (thick lines).
Figure 4: VAG mm-fluxes (red), mf -fluxes (dark red) and ff -fluxes (black) on a 3D cell touching a fracture                                                                          
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