  We present an embedded-hybridizable discontinuous Galerkin finite element
method for the total pressure formulation of the quasi-static poroelasticity
model. Although the displacement and the Darcy velocity are approximated by
discontinuous piece-wise polynomials, $H(\text{div})$-conformity of these
unknowns is enforced by Lagrange multipliers. The semi-discrete problem is
shown to be stable and the fully discrete problem is shown to be well-posed.
Additionally, space-time a priori error estimates are derived, and confirmed by
numerical examples, that show that the proposed discretization is free of
volumetric locking.
