Corredor Robiel Martinez, Santos Juan E, Gauzellino Patricia M, Carcione José M
Facultad de Ingeniería, Universidad Nacional de La Plata, Calle 1 y 47, La Plata (B1900TAG), Pcia. de Buenos Aires, Argentina.
CONICET, Instituto del Gas y del Petróleo, Facultad de Ingeniería, Universidad de Buenos Aires, Avenue Las Heras 2214 Piso 3, C1127AAR, Buenos Aires, Argentina.
J Acoust Soc Am. 2014 Jun;135(6):3151-62. doi: 10.1121/1.4875713.
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.
多孔弹性介质中的波传播是一个在许多研究领域都有应用的课题，从固体地球的地球物理学到材料科学。在地球物理学中，地震方法基于波在界面或层处的反射和透射。这是一个相关的典型问题，尚未以显式形式解决，即单层的波响应，涉及三种不同的介质，其中介质的特性由比奥理论描述。位移场根据势重新表述，两个界面处的边界条件规定了固体和流体位移、法向和剪应力以及流体压力的连续性。讨论了临界角的存在。通过与分别对应于单相固体（弹性）介质和流体介质的典型解以及层厚度为零（表示分隔两个多孔弹性半空间的界面）的情况进行适当的极限（零孔隙率和100%孔隙率）比较，验证了结果。作为例子，计算了平面波入射到高渗透性和柔顺性流体饱和多孔层时的反射和透射系数，以及介质被相同流体饱和的情况。
