The band may have an acoustic bass, and not an electric bass in its rhythm section. Writing for acoustic (double bass) is the same as writing for electric bass. The strings of the acoustic and electric bass are tuned the same up in 4ths.

NB, If you orchestrate a rhythm section with a symphony orchestra, the double bass of the symphony is orchestrated with the strings of the violin family. The bass of the rhythm section is orchestrated with the rhythm section, independent of the symphonic strings.