Analytical and variational numerical methods for unstable miscible displacement flows in porous media

Scovazzi, Guglielmo; Wheeler, Mary F.; Mikelić, Andro; Lee, Sanghyun

doi:10.1016/j.jcp.2017.01.021

Title: Analytical and variational numerical methods for unstable miscible displacement flows in porous media

Journal Article · Tue Jan 17 00:00:00 EST 2017 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2017.01.021· OSTI ID:1533955

^[1]; Wheeler, Mary F. ^[2]; Mikelić, Andro ^[3]; Lee, Sanghyun ^[2]

Duke University, Durham, NC (United States)
University of Texas, Austin, TX (United States)
University of Lyon (France)

The miscible displacement of one fluid by another in a porous medium has received considerable attention in subsurface, environmental and petroleum engineering applications. When a fluid of higher mobility displaces another of lower mobility, unstable patterns – referred to as viscous fingering – may arise. Their physical and mathematical study has been the object of numerous investigations over the past century. In writing this paper the objective is to present a review of these contributions with particular emphasis on variational methods. These algorithms are tailored to real field applications thanks to their advanced features: handling of general complex geometries, robustness in the presence of rough tensor coefficients, low sensitivity to mesh orientation in advection dominated scenarios, and provable convergence with fully unstructured grids.

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Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); Army Research Office (ARO); ExxonMobil Upstream Research Company

Grant/Contract Number:: SC0012169; W911NF-13-1-0452; 10-014677

OSTI ID:: 1533955

Alternate ID(s):: OSTI ID: 1397794

Journal Information:: Journal of Computational Physics, Vol. 335, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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