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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 5
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Original Articles

Derivation of the Double Porosity Model of a Compressible Miscible Displacement in Naturally Fractured Reservoirs

C. Choquet LMA, CNRS UMR 6620, Université Blaise Pascal, 63177 Aubière, France
Pages 477-499 | Received 04 May 2003, Accepted 03 Jun 2003, Published online: 07 Oct 2011

References

  • Acerbi , E , ChiadogravePiat , V , DalMaso , G and Percivale , D . 1992 . An extension theorem from connected sets, and homogenization in general periodic domains . Nonlinear Anal , 18 : 481 – 496 .
  • Allaire , G . 1992 . Homogenization and two-scale convergence . SIAM J. Math. Anal , 23 : 1482 – 1518 .
  • Amirat , Y , Hamdache , K and Ziani , A . 1996 . Mathematical analysis for compressible miscible displacement models in porous media . Math. Models Methods Appl. Sci. , 6 : 729 – 747 .
  • Arbogast , T , Douglas Jr , J and Hensley , JL . 1991 . A dual-porosity model for waterflooding in naturally fractured reservoirs . Comp. Meth. in Appl. Mech. and Engng , 87 : 157 – 174 .
  • Arbogast , T , Douglas Jr , J and Hornung , U . 1990 . Derivation of the double porosity model of single phase flow via homogenization theory . SIAM J. Math. Anal , 21 : 823 – 836 .
  • Arbogast T Douglas Jr J Hornung U 1991 Modelling of naturally fractured reservoirs by formal homogenization techniques In Frontiers in Pure and Applied Mathematics p. 1–19 North-Holland Amsterdam
  • Barenblatt , GI , Zheltov , IP and Kochina , IN . 1960 . Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks . Prikl. Mat. Meh. , 24 : 1286 – 1303 .
  • Bourgeat , A , Luckhaus , S and Mikelić , A . 1996 . Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow . SIAM J. Math. Anal. , 27 : 1520 – 1543 .
  • Carman , PC . 1939 . Permeability of satured sands, soils and clays . J. Agricultural Sci. , 29 : 262 – 272 .
  • Douglas , J Jr. and Roberts , JE . 1983 . Numerical methods for a model for compressible miscible displacement in porous media . Math. of Computation , 41 : 441 – 459 .
  • Lions JL 1969 Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod/Gauthier-Villars Paris
  • Murat , F . 1978 . Compacité par compensation . Ann. Scuola Norm. Sup. Pisa Cl. Sci. , 5 : 489 – 507 .
  • Nguetseng , G . 1989 . A general convergence result for a functional related to the theory of homogenization . SIAM J. Math. Anal. , 20 : 608 – 623 .
  • Peaceman DW 1977 Fundamentals of Numerical Reservoir Simulation, Elsevier Scientific Publishing Amsterdam
  • Pirson , SJ . 1953 . Performance of fractured oil reservoirs . Bull. Amer. Assoc. Petrol. Geologists , 37

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