  In this article we formulate a stable computational nonlocal poromechanics
model for dynamic analysis of saturated porous media. As a novelty, the
stabilization formulation eliminates zero-energy modes associated with the
original multiphase correspondence constitutive models in the coupled nonlocal
poromechanics model. The two-phase stabilization scheme is formulated based on
an energy method that incorporates inhomogeneous solid deformation and fluid
flow. In this method, the nonlocal formulations of skeleton strain energy and
fluid flow dissipation energy equate to their local formulations. The stable
coupled nonlocal poromechanics model is solved for dynamic analysis by an
implicit time integration scheme. As a new contribution, we validate the
coupled stabilization formulation by comparing numerical results with
analytical and finite element solutions for one-dimensional and two-dimensional
dynamic problems in saturated porous media. Numerical examples of dynamic
strain localization in saturated porous media are presented to demonstrate the
efficacy of the stable coupled poromechanics framework for localized failure
under dynamic loads.
