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  • 35J25  (1)
  • Computational Science and Engineering  (1)
  • reservoir simulation
  • 1
    ISSN: 1573-1499
    Keywords: reservoir simulation ; second order elliptic equations ; upscaling ; homogenization ; 35J25 ; 35J20 ; 73B27
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Computer Science
    Notes: Abstract In this paper we study the problem of determining the effective permeability on a coarse scale level of problems with strongly varying and discontinuous coefficients defined on a fine scale. The upscaled permeability is defined as the solution of an optimization problem, where the difference between the fine scale and the coarse scale velocity field is minimized. We show that it is not necessary to solve the fine scale pressure equation in order to minimize the associated cost‐functional. Furthermore, we derive a simple technique for computing the derivatives of the cost‐functional needed in the fix‐point iteration used to compute the optimal permeability on the coarse mesh. Finally, the method is illustrated by several analytical examples and numerical experiments.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2024-03-30
    Description: Computational Science and Engineering; Biomedicine general; Computer Imaging, Vision, Pattern Recognition and Graphics
    Keywords: Computational Science and Engineering ; Biomedicine general ; Computer Imaging, Vision, Pattern Recognition and Graphics ; thema EDItEUR::K Economics, Finance, Business and Management::KJ Business and Management::KJM Management and management techniques::KJMV Management of specific areas ; thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNB Energy industries and utilities ; thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries ; thema EDItEUR::M Medicine and Nursing::MB Medicine: general issues::MBG Medical equipment and techniques ; thema EDItEUR::R Earth Sciences, Geography, Environment, Planning ; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology ; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TC Biochemical engineering ; thema EDItEUR::W Lifestyle, Hobbies and Leisure::WC Antiques, vintage and collectables::WCF Collecting coins, banknotes, medals and other related items
    Language: English
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