  In this work, we consider the effects of repulsive gravity in an invariant
way for four static 3D regular black holes, using the eigenvalues of the
Riemann curvature tensor, the Ricci scalar, and the strong energy conditions.
The eigenvalues of the solutions are non-vanishing asymptotically (in
asymptotically AdS) and increase as the source of gravity is approached,
providing a radius at which the passage from attractive to repulsive gravity
might occur. We compute the onsets and the regions of repulsive gravity and
conclude that the regular behavior of the solutions at the origin of
coordinates can be interpreted as due to the presence of repulsive gravity,
which also turns out to be related with the violation of the strong energy
condition. We showed that in all of the solutions for the allowed region of
parameters, gravity changes its sign, but the repulsive regions only for the
non-logarithmic solution are affected by the mass that generates the regular
black hole. The repulsive regions for the logarithmic solutions are dependent
on electric charge and the AdS$_{3}$ length. The implications and physical
consequences of these results are discussed in detail.
