Wave Propagation in Poroelastic Media Saturated by Two Fluids

作者: K. Tuncay , M. Y. Corapcioglu

DOI: 10.1115/1.2787309

关键词:

摘要: A theory of wave propagation in isotropic poroelastic media saturated by two immiscible Newtonian fluids is presented. The macroscopic constitutive relations, and mass momentum balance equations are obtained volume averaging the microscale assuming small deformations. Momentum transfer terms expressed intrinsic relative permeabilities validity Darcy's law. coefficients relations measurable quantities a novel way. demonstrates existence three compressional one rotational wave. third associated with pressure difference between fluid phase dependent on slope capillary pressure-saturation relation.

参考文章(48)
S. T. Yuster, Theoretical Considerations of Multiphase Flow in Idealized Capillary Systems 3rd World Petroleum Congress. ,(1951)
Enrique Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory ,(1980)
T. B. Anderson, Roy Jackson, Fluid Mechanical Description of Fluidized Beds. Equations of Motion Industrial & Engineering Chemistry Fundamentals. ,vol. 6, pp. 527- 539 ,(1967) , 10.1021/I160024A007
Thomas J. Plona, Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies Applied Physics Letters. ,vol. 36, pp. 259- 261 ,(1980) , 10.1063/1.91445
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
S. K. Garg, Wave propagation effects in a fluid-saturated porous solid Journal of Geophysical Research. ,vol. 76, pp. 7947- 7962 ,(1971) , 10.1029/JB076I032P07947
S. K. Garg, D. H. Brownell, J. W. Pritchett, R. G. Herrmann, Shock−wave propagation in fluid−saturated porous media Journal of Applied Physics. ,vol. 46, pp. 702- 713 ,(1975) , 10.1063/1.321634
O. C. Zienkiewicz, C. T. Chang, P. Bettess, DRAINED, UNDRAINED, CONSOLIDATING AND DYNAMIC BEHAVIOUR ASSUMPTIONS IN SOILS Geotechnique. ,vol. 30, pp. 385- 395 ,(1980) , 10.1680/GEOT.1980.30.4.385
N. Katsube, M. M. Carroll, The Modified Mixture Theory for Fluid-Filled Porous Materials: Theory Journal of Applied Mechanics. ,vol. 54, pp. 35- 40 ,(1987) , 10.1115/1.3172991