• Title of article

    Mathematical models of a hydraulic shock

  • Author/Authors

    Meirmanov، نويسنده , , Anvarbek and Nekrasova، نويسنده , , Irina، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2013
  • Pages
    15
  • From page
    76
  • To page
    90
  • Abstract
    In the present paper, we derive macroscopic mathematical models of the pressure distribution field near the oil well during the hydraulic shock. To get these models we follow the scheme, suggested by J. Keller and R. Burridge. This scheme is based upon a rigorous homogenization of the exact mathematical model, describing on a microscopic level the joint motion of an elastic solid skeleton and a viscous fluid filling the pores.
  • Keywords
    Hydraulic shock , Stokes and Lamé’s equations , Two-scale convergence , Darcy law
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2013
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1563865