  In the article, we aim to investigate the well-posedness of solution and the
regularity of the global attractor for the couple stress fluid in saturated
porous media with the local thermal non-equilibrium effect. To be more
specific, we firstly show the existence and uniqueness of global weak solution
to the model by making use of the standard Galerkin method. Second, relying on
verifying the uniformly compact condition required, we prove the existence of
the global attractor of the model in the space where the weak solution resides.
Finally, we improve the regularity of global attractor by uniformly compact
condition and obtain the $C^{\infty}$ attractor for the model.
