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Circulation system on a drilling rig is the circulation of drilling mud during the drilling process. During drilling, it increased a lot of drilling mud with cuttings, the circulation system will use 4-phase or 3-phase separation equipments to separate the un-useful cuttings from it and get clean drilling mud to reuse for the drilling, the cuttings will be collected by a storage box for further process, so that it can meet the environment emission standard. 
The circulation system produced by GN solids control usually include shale shaker, desander/desilter, ( sometimes we choose either of them or both of them), decanter centrifuge(depends on what kind of drilling you are doing).