Biot-Rayleigh theory of wave propagation in double-porosity media

作者: J. Ba , J. M. Carcione , J. X. Nie

DOI: 10.1029/2010JB008185

关键词: Wave propagationPhase velocityPoromechanicsFluid dynamicsEquations of motionMechanicsBiot numberPhysicsCompressibilityPlane wave

摘要: … Following Biot's approach, Lagrange's equations are obtained on … energy and strain potential energy function into Lagrange equations, and derive three dynamic governing equations …

参考文章(44)
José M. Carcione, Viscoelastic effective rheologies for modelling wave propagation in porous media Geophysical Prospecting. ,vol. 46, pp. 249- 270 ,(1998) , 10.1046/J.1365-2478.1998.00087.X
Jing Ba, Jian-Xin Nie, Hong Cao, Hui-Zhu Yang, Mesoscopic fluid flow simulation in double-porosity rocks Geophysical Research Letters. ,vol. 35, ,(2008) , 10.1029/2007GL032429
José M. Carcione, Hans B. Helle, Nam H. Pham, White's model for wave propagation in partially saturated rocks: Comparison with poroelastic numerical experiments Geophysics. ,vol. 68, pp. 1389- 1398 ,(2003) , 10.1190/1.1598132
Jan D. Achenbach, Wave propagation in elastic solids ,(1962)
K. Vokurka, On Rayleigh's model of a freely oscillating bubble. II. Results Czechoslovak Journal of Physics. ,vol. 35, pp. 110- 120 ,(1985) , 10.1007/BF01595623
M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range The Journal of the Acoustical Society of America. ,vol. 28, pp. 168- 178 ,(1956) , 10.1121/1.1908239
K. Vokurka, On Rayleigh's model of a freely oscillating bubble. I. Basic relations Czechoslovak Journal of Physics. ,vol. 35, pp. 28- 40 ,(1985) , 10.1007/BF01590273
David Linton Johnson, Theory of frequency dependent acoustics in patchy-saturated porous media Journal of the Acoustical Society of America. ,vol. 110, pp. 682- 694 ,(2001) , 10.1121/1.1381021
Roy H. Wilkens, Gerard J. Fryer, Jill Karsten, Evolution of porosity and seismic structure of upper oceanic crust: Importance of aspect ratios Journal of Geophysical Research. ,vol. 96, pp. 17981- 17995 ,(1991) , 10.1029/91JB01454