Poroacoustic waves under a mixture-theoretic based reformulation of the Jordan-Darcy-Cattaneo model

Using mixture theory, we present a reformulation of the Jordan-Darcy-Cattaneo (JDC) poroacoustic model. The one-dimensional (1D) version of the resulting system is then applied to the description of first 'start-up' acceleration waves, and then those exhibited under the traveling wave reduction, in a gas that saturates a rigid, porous solid. Results obtained are contrasted with those of the Darcy-Jordan model, the impact of τ, the model's relaxation time parameter, is assessed, and issues stemming from the acceleration wave analysis performed by Ciarletta et al. (2013), who proposed the original JDC model, are resolved. Also, the weakly-nonlinear Darcy-Jordan model is generalized to include the case τ>0.