Over the past decade, it has become increasingly clear that the Gromov-Hausdorff limits of K\"ahler manifolds, particularly in the non-collapsing case, have deep connections with algebraic geometry. In the context of moduli theory, M. de Borbon and C. Spotti have proposed the "multi-scale K-moduli space" as a "moduli space of bubbling limits" of K\"ahler-Einstein metrics. In this talk, I will discuss the multi-scale K-moduli problem in the case of non-collapsing polarized K3 surfaces.