Transient wave propagation in inhomogeneous porous materials: Application of fractional derivatives

被引：23

作者：

Fellah, M.

Fellah, Z. E. A.

Depollier, C.

机构：

[1] CNRS, Lab Mecan & Acoust, UPR 7051, F-13402 Marseille, France

[2] USTHB, Inst Phys, Phys Theor Lab, Bab Ezzouar 16111, Algeria

[3] Univ Maine, CNRS, UMR 6613, Acoust Lab, F-72085 Le Mans 09, France

来源：

SIGNAL PROCESSING | 2006年 / 86卷 / 10期

关键词：

porous materials; fractional calculus; fractional derivatives; scattering operators; wave splitting;

D O I：

10.1016/j.sigpro.2006.02.014

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Acoustic wave propagation in inhomogeneous porous material is studied in the time domain. Fractional calculus is used to describe the inertial, viscous and thermal interactions between fluid and structure. A generalized hyperbolic fractional equation (generalized Telegraph equation) for transient sound wave propagation in inhomogeneous material is established. A wave-splitting technique is presented formally for the description of the dynamic equation of the reflection scattering operator. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：2658 / 2667

页数：10

共 26 条

[1]

Allard J.F., 1993, Propagation of sound in porous media, DOI [10.1002/9780470747339, DOI 10.1002/9780470747339]

[2]

BABENKO YI, 1989, HEAT MASS TRANSFER M

[3] ON THE FRACTIONAL CALCULUS MODEL OF VISCOELASTIC BEHAVIOR [J].