Transport in Porous Media

, Volume 113, Issue 3, pp 431–456 | Cite as

Micro-continuum Approach for Pore-Scale Simulation of Subsurface Processes



The enormous growth in computational capabilities of recent years has made Navier–Stokes-based simulation of flow and transport in natural porous media possible. Because of the complex multiscale nature of porous media, however, full Navier–Stokes representation of the physics everywhere in the domain is not always feasible. Here, we employ, a filtering—or micro-continuum—approach to model the smallest length scales. The Darcy–Brinkman–Stokes (DBS) equation offers an appealing framework for this hybrid modeling. A general modeling framework based on the DBS equation is proposed. The approach is then used to bridge the gap between scales for several challenging problems, including flow in fractured media, pore-scale simulation with immersed boundary conditions, modeling of dissolution phenomena, and thermal evolution of oil shale.


Pore-scale simulation Micro-continuum Darcy–Brinkman Multiscale Dissolution Oil shale pyrolysis 



We acknowledge the Office of Basic Energy Sciences Energy Frontier Research Center under Contract number DE-AC02-05CH11231 and the TOTAL STEMS project for financial support. We also thank the Stanford Center for Computational Earth & Environmental Sciences (CEES) for computational support.


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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Energy Resources EngineeringStanford UniversityStanfordUSA

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