The invention is directed to one or more sand free cement-based grout compositions that are highly resistant to wet abrasion removal. The one or more sand free cement-based grout compositions comprising calcium aluminate cement as a main binder in combination with one or more additional binders as well as one or more of the following ingredients: a single anhydrite binder, metakaolin, fine limestone, coarse limestone, an acidic retarder, and/or a lithium-based accelerator. The invention is directed to one or more methods of wet abrasion testing cured and wetted sand free cement-based grout compositions.