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
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
