  In this manuscript we focus on the question: what is the correct notion of
Stokes-Biot stability? Stokes-Biot stable discretizations have been introduced,
independently by several authors, as a means of discretizing Biot's equations
of poroelasticity; such schemes retain their stability and convergence
properties, with respect to appropriately defined norms, in the context of a
vanishing storage coefficient and a vanishing hydraulic conductivity. The basic
premise of a Stokes-Biot stable discretization is: one part Stokes stability
and one part mixed Darcy stability. In this manuscript we remark on the
observation that the latter condition can be generalized to a wider class of
discrete spaces. In particular: a parameter-uniform inf-sup condition for a
mixed Darcy sub-problem is not strictly necessary to retain the practical
advantages currently enjoyed by the class of Stokes-Biot stable Euler-Galerkin
discretization schemes.
