Parabolic equation models for poroelastic transversely isotropic sediments
Andrew J. Fredricks, William L. Siegmann, Michael D. Collins
Abstract
Andrew J. Fredricks, William L. Siegmann, Michael D. Collins
Abstract
Anisotropy in ocean sediments can have a significant effect on transmission loss. A parabolic equation (PE) model for problems involving transversely isotropic elastic sediments was recently developed [A. J. Fredricks et al., J. Acoust. Soc. Am. 101, 3182(A) (1997)]. Biot’s theory of poroelasticity, which is appropriate for some sediments, is a generalization of elasticity that includes effects due to fluid-filled pores. Propagation models have been developed for poroelastic media, but only for the isotropic case. A poroelastic PE model is extended to handle transversely isotropic sediments. A description of the model will be presented along with examples to illustrate the effects of anisotropy. [Work supported by ONR.]
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Anisotropy in ocean sediments can have a significant effect on transmission loss. A parabolic equation (PE) model for problems involving transversely isotropic elastic sediments was recently developed [A. J. Fredricks et al., J. Acoust. Soc. Am. 101, 3182(A) (1997)]. Biot’s theory of poroelasticity, which is appropriate for some sediments, is a generalization of elasticity that includes effects due to fluid-filled pores. Propagation models have been developed for poroelastic media, but only for the isotropic case. A poroelastic PE model is extended to handle transversely isotropic sediments. A description of the model will be presented along with examples to illustrate the effects of anisotropy. [Work supported by ONR.]
Key concepts: Poromechanics, Transverse isotropy, Anisotropy, Biot number, Isotropy, Elasticity (physics), Geology, Mechanics