• Title of article

    AN ALGORITHM FOR CALCULATING REFLECTED/TRANSMITTED POROELASTIC WAVES ACROSS ALL FREQUENCIES

  • Author/Authors

    Miranda, M. Laboratory of Engineering and Exploration of Petroleum - Center of Science and Technology - North Fluminense State University Darcy Ribeiro, Brazil , Priimenko, V. Laboratory of Engineering and Exploration of Petroleum - Center of Science and Technology - North Fluminense State University Darcy Ribeiro, Brazil

  • Pages
    15
  • From page
    55
  • To page
    69
  • Abstract
    There is considered a layered heterogeneous poroelastic isotropic medium with physical parameters characterized by piecewise constant functions of the depth only. We de- rive a mathematical algorithm for calculating reflected/transmitted poroelastic waves across all temporal frequencies. To define the frequency effect we use the dynamic permeability ex- pression proposed by Jonhson, Koplik and Dashen in 1987; in the time domain, this coefficient introduces order 1/2 shifted fractional time derivative involving a convolution product. The algorithm proposed is based on the formalism introduced by Ursin in 1983.
  • Keywords
    Stratified porous media , dynamic permeability , reflected/transmitted waves , frequency domain , explicit formulas
  • Journal title
    Eurasian Journal of Mathematical and Computer Applications
  • Serial Year
    2017
  • Full Text URL
    drive.google.com/file/d/0B2YBOGP6HM8vR21TR1U0RXJROXR6Zk9oOTNzc3RUcWlPMnVr/view
  • Record number

    2601667

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2601667