Docker storage drivers allow images and containers to be stored in different ways by implementing a pluggable storage driver interface. Common storage drivers include overlay2, aufs, devicemapper, and vfs. Images are composed of read-only layers stacked on top of each other, with containers adding a writable layer. Storage can be persisted using volumes, bind mounts, or tmpfs mounts. Strategies for managing persistent container data include host-based storage, volume plugins, and container storage platforms.