A framework for upscaling and modelling fluid flow for discrete fractures using conditional generative adversarial networks. (August 2022)

• Record Type: Journal Article
• Authors: Ferreira, Carlos A.S.; Kadeethum, Teeratorn; Bouklas, Nikolaos; Nick, Hamidreza M.
• Is Part Of: Advances in water resources. Volume 166(2022)
• Publication Date: 2022-08
• Subjects: Fractured porous media -- Permeability tensor -- Permeability anisotropy -- Reduced order modelling; Hydrology -- Periodicals; Hydrodynamics -- Periodicals; Hydraulic engineering -- Periodicals; 551.48
• DOI: 10.1016/j.advwatres.2022.104264
• Languages: English
• ISSNs: 0309-1708

Abstract

Abstract: Scaling up highly heterogeneous aperture distributions of fractures into equivalent permeability tensors enables a substantial reduction in the computational cost of simulating fluid flow in fractured porous media by allowing the employment of coarser grids while keeping the accuracy of an explicit model. This work proposes the adaptation and application of conditional generative adversarial networks (CGAN) for upscaling the permeability of single fractures. Three different types of aperture distributions are used as input in this work: layered media, Zinn & Harvey transformations and self-affine fractals. As output, the model predicts the pressure inside the fracture which is used for calculation of the equivalent permeability tensor. Our results show that the framework employing CGAN provides equivalent tensors that can capture accurately both the permeability angle and anisotropy of discrete fractures, with a substantial reduction of the computational time when compared to traditional frameworks that rely on the numerical simulations. Highlights: Model provides sufficient accuracy for capturing the anisotropy of the fracture. Heterogeneous aperture distributions are upscaled to permeability tensors. Requirement of locally fine grids is removed thus reducing the computational cost. Framework provides a substantial speed-up for upscaling highly heterogeneous aperture.