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Article overview
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Modeling flow and transport in fracture networks using graphs | | S. Karra
; D. O'Malley
; J. D. Hyman
; H. S. Viswanathan
; G. Srinivasan
; | | Date: |
29 Aug 2017 | | Abstract: | Fractures form the main pathways for flow in the subsurface. For this reason,
accurately predicting flow and transport in fractured systems is vital for
improving the performance of subsurface applications. Fracture sizes in these
systems can range from millimeters to kilometers. Although, modeling flow and
transport using the discrete fracture network (DFN) approach is known to be
more accurate due to incorporation of the detailed fracture network structure
over continuum-based methods, capturing the flow and transport in such a wide
range of scales is still computationally intractable. Furthermore, if one has
to quantify uncertainty, hundreds of realizations of these DFN models have to
be run. To reduce the computational burden, we solve flow and transport on a
graph representation of a DFN. We study the accuracy of the graph approach by
comparing breakthrough times and tracer particle statistical data between the
graph-based and the high-fidelity DFN approaches, for fracture networks with
varying number of fractures and degree of heterogeneity. Due to our recent
developments in capabilities to perform DFN high-fidelity simulations on
fracture networks with large number of fractures, we are in a unique position
to perform such a comparison. We show that the graph approach gives reasonably
accurate results with the computational cost being $mathcal{O}(10^4)$ times
lower than the DFN simulations, making it an ideal technique to incorporate in
uncertainty quantification methods. | | Source: | arXiv, 1708.8556 | | Services: | Forum | Review | PDF | Favorites | |
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