Ternary segmentation and estimation of permeability for porous rocks based on 3D X-ray computed tomographic images by hidden Markov random field and Brinkman-force lattice Boltzmann model

Micro‐Continuum Modeling: An Hybrid‐Scale Approach for Solving Coupled Processes in Porous Media

“…In such cases, the local permeability is described by Hagen‐Poiseuille law, $$k=\frac{{d}_{i}^{2}\phi }{64}$$. The microtube diameter value is constrained by correlating the pore‐size distribution obtained experimentally using mercury injection capillary pressure with the mapping of the local porosity field in the unresolved region (Choi et al., 2020; Yang, Kang, & Yun, 2021). Even though further work still needs to be done to reconstruct accurately the unresolved pores using the pore‐size distribution and the grayscale images, micro‐continuum models have demonstrated their abilities to compute absolute permeability including the instrument resolution.…”