Wilson's model[Wil93], which involves only 4 parameters, is developed to match the middle frequency behavior (or transition behavior, when the viscous and thermal boundary layers are of the order of the pore size) while models by Johnson, Koplik & Dashen for visco-inertial effects and models by Champoux-Allard or Champoux-Allard-Lafarge for thermal effects are developed to match he low and high frequency behaviors of the material.