The equations of motion and the nonlinear constitutive theory of fluid‐filled poroelastic media are derived from the fundamental equations of elasticity and fluid mechanics for the constituents. A two‐scale spatial expansion and the method of homogenization are employed. Explicit equations are obtained for the special case of a medium consisting of alternating solid and fluid layers. The linearized theory is examined in depth for the particular case of isotropic solid layers. The governing effective poroelastic medium is transversely isotropic, and wave solutions are discussed and compared with previous studies.
Topics
Fluid mechanics
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© 1995 Acoustical Society of America.
1995
Acoustical Society of America
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