TY - JOUR
T1 - Multiscale formulation of two-phase flow at the pore scale
AU - Mehmani, Yashar
AU - Tchelepi, Hamdi A.
N1 - Funding Information:
Funding for this work was provided by the Stanford University Petroleum Research Institute (SUPRI-B affiliates). We also acknowledge the Office of Basic Energy Sciences Energy Frontier Research Center under Contract number DE-AC02-05CH11231 for financial support. We are grateful to the Center for Computational Earth & Environmental Science (CEES) at Stanford University for access to computational resources.
Funding Information:
Funding for this work was provided by the Stanford University Petroleum Research Institute (SUPRI-B affiliates). We also acknowledge the Office of Basic Energy Sciences Energy Frontier Research Center under Contract number DE-AC02-05CH11231 for financial support. We are grateful to the Center for Computational Earth & Environmental Science (CEES) at Stanford University for access to computational resources.
Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2019/7/15
Y1 - 2019/7/15
N2 - Direct numerical simulation (DNS) of multiphase flow yields the highest fidelity predictions of pore-scale fluid dynamics in porous media. The drawback of DNS is its high computational cost. We develop a pore-level multiscale method (PLMM) that accelerates DNS by producing successively improved approximations to the immiscible two-phase Navier-Stokes equations. PLMM starts with a binary image of the porous medium and decomposes the void space into subdomains that coincide with physical pores. For each subdomain, single-phase basis functions are constructed once. Correction functions are then computed only for subdomains containing a fluid-fluid interface. Basis and correction functions are coupled through a global problem, which yields an accurate velocity field used to propagate interfaces. By treating two-phase dynamics as local perturbations to single-phase flow, PLMM adaptively localizes computations to the displacement front. Prediction errors are additionally estimated and controlled with an iterative strategy. PLMM is parallelizable and allows for different meshes, models, and physics in each subdomain.
AB - Direct numerical simulation (DNS) of multiphase flow yields the highest fidelity predictions of pore-scale fluid dynamics in porous media. The drawback of DNS is its high computational cost. We develop a pore-level multiscale method (PLMM) that accelerates DNS by producing successively improved approximations to the immiscible two-phase Navier-Stokes equations. PLMM starts with a binary image of the porous medium and decomposes the void space into subdomains that coincide with physical pores. For each subdomain, single-phase basis functions are constructed once. Correction functions are then computed only for subdomains containing a fluid-fluid interface. Basis and correction functions are coupled through a global problem, which yields an accurate velocity field used to propagate interfaces. By treating two-phase dynamics as local perturbations to single-phase flow, PLMM adaptively localizes computations to the displacement front. Prediction errors are additionally estimated and controlled with an iterative strategy. PLMM is parallelizable and allows for different meshes, models, and physics in each subdomain.
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U2 - 10.1016/j.jcp.2019.03.035
DO - 10.1016/j.jcp.2019.03.035
M3 - Article
AN - SCOPUS:85064651183
VL - 389
SP - 164
EP - 188
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -