title: Reflection and transmission coefficients of a single layer in poroelastic media.
abstract: Wave propagation in poroelastic media is a subject that finds applications in many fields of research, from geophysics of the solid Earth to material science. In geophysics, seismic methods are based on the reflection and transmission of waves at interfaces or layers. It is a relevant canonical problem, which has not been solved in explicit form, i.e., the wave response of a single layer, involving three dissimilar media, where the properties of the media are described by Biot's theory. The displacement fields are recast in terms of potentials and the boundary conditions at the two interfaces impose continuity of the solid and fluid displacements, normal and shear stresses, and fluid pressure. The existence of critical angles is discussed. The results are verified by taking proper limits-zero and 100% porosity-by comparison to the canonical solutions corresponding to single-phase solid (elastic) media and fluid media, respectively, and the case where the layer thickness is zero, representing an interface separating two poroelastic half-spaces. As examples, it was calculated the reflection and transmission coefficients for plane wave incident at a highly permeable and compliant fluid-saturated porous layer, and the case where the media are saturated with the same fluid.
authors.affiliation: Facultad de Ingeniería, Universidad Nacional de La Plata, Calle 1 y 47, La Plata (B1900TAG), Pcia. de Buenos Aires, Argentina.
authors.forename: Robiel Martinez
authors.initials: RM
authors.lastname: Corredor
authors.affiliation: CONICET, Instituto del Gas y del Petróleo, Facultad de Ingeniería, Universidad de Buenos Aires, Avenue Las Heras 2214 Piso 3, C1127AAR, Buenos Aires, Argentina.
authors.forename: Juan E
authors.initials: JE
authors.lastname: Santos
authors.affiliation: Departamento de Geofísica Aplicada, Facultad de Ciencias Astronómicas y Geofísicas, Universidad Nacional de La Plata, Paseo del Bosque s/n, La Plata, B1900FWA, Argentina.
authors.forename: Patricia M
authors.initials: PM
authors.lastname: Gauzellino
authors.affiliation: Istituto Nazionale di Oceanografia e di Geofisica Sperimentale (OGS), Borgo Grotta Gigante 42c, 34010 Sgonico, Trieste, Italy.
authors.forename: José M
authors.initials: JM
authors.lastname: Carcione