"used variously" is correct and usable in written English.
You can use it when referring to different ways in which something is implemented, practiced, or interpreted. For example, "The term has been used variously to refer to different aspects of the same concept."
To generate the photoacoustic waves, two excitation laser sources were used variously.
Legs were flicked back and arms used variously rather than just flung back.
Away from central London are a series of larger tributaries, used variously for navigation and associated activities, water supply, gravel quarrying, and ornament and recreation.
Before its major restoration in 1974, the house was used variously as a branch of the Hartford Public Library, a school, and private apartments.
Front yards were a rarity in pre-20th-century urban construction; today they are used variously as concrete parking spaces, grass lawns or glorious floral displays.
It was built in 1885 and has been used variously as a general store, a storage warehouse and an art gallery.
One IEEE writer decided to hack together a DIY Google-ish Glass of his own, using variously sourced components; you can read about that adventure here.
Stand by for no fewer than three mealtime scenes in which someone explains Hawking's theories using, variously, a potato on a fork, the swirl of cream in coffee and beer spilled on a pub table.
Dummett liked to use the then newfangled white boards, on which he wrote using variously colored water-soluble pens, erasing by means of a contraption that combined the qualities of a water pistol with a square of blotting paper.
Using variously substituted iron tetraphenylporphyrins and iron and cobalt macrocyclic pentadendate N5 complexes electrochemically or photochemically reduced to their active states, selective and efficient molecular catalysis of the CO2-to-CO and of the CO2-to-HCOOH conversion was achieved at low overpotential.
At 47, she is a small woman with bright blue eyes and a head of lush red hair, long and full, which she uses variously as a screen to hide behind when she's not sure of what to say next, as a play toy -- gather it together, lift it up, drop it and see which way it goes -- or as an aid to thinking, twisting it into ropes pulled this way or that.
