Physics – Geophysics
Scientific paper
2001-07-31
Transport in Porous Media, 53, 39-50 (2003)
Physics
Geophysics
typos corrected, presentation improved, submitted to Transp. Por. Med
Scientific paper
The present study investigates novelties brought about into the classic Biot's theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons. Based on our previous results (Tsiklauri and Beresnev: 2001, Phys. Rev. E, 63, 046304), we have investigated the propagation of rotational and dilatational elastic waves, through calculating their phase velocities and attenuation coefficients as a function of frequency. We found that the replacement of an ordinary Newtonian fluid by a Maxwell fluid in the fluid-saturated porous solid results in: (a) an overall increase of the phase velocities of both the rotational and dilatational waves. With the increase of frequency these quantities tend to a fixed, higher, as compared to the Newtonian limiting case, level which is not changing with the decrease of the Deborah number $\alpha$. (b) the overall decrease of the attenuation coefficients of both the rotational and dilatational waves. With the increase of frequency these quantities tend to a progressively lower, as compared to the Newtonian limiting case, levels as $\alpha$ decreases. (c) Appearance of oscillations in all physical quantities in the deeply non-Newtonian regime.
Beresnev Igor
Tsiklauri David
No associations
LandOfFree
Properties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Properties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Properties of Elastic Waves in a non-Newtonian (Maxwell) Fluid-Saturated Porous Medium will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-360305