Numerical analysis of wave propagation in fluid-filled deformable tubes

摘要: The theory of Biot describing wave propagation in fluid saturated porous media is a good effective approximation induced fluid-filled deformable tube. Nonetheless, it has been found that Biot's shortcomings predicting the fast P-wave velocities and amount intrinsic attenuation. These problems arises when complex mechanical interactions solid phase micro-scale are not taken into account. In contrast, approach proposed by Bernabe does take account micro-scopic interaction between phases therefore poses an interesting alternative to theory. A Wave propagating tube with viscous simplified model material, study this geometry great interest. By using geometry, results analytical numerical have easier interpretation can be compared straightforward. Using Finite Difference viscoelastic code, transient response was simulated. source modified different characteristic frequencies order gain information dispersion relation. It simulations at sub-critical closely match those Bernabe's solution, but over-critical they come closer solution. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)