CA Civ Proc Code Section 1297.272

Where the parties to two or more arbitration agreements have agreed, in their respective arbitration agreements or otherwise, to consolidate the arbitrations arising out of those arbitration agreements, the superior court may, on application by one party with the consent of all the other parties to those arbitration agreements, do one or more of the following:

(a)

Order the arbitrations to be consolidated on terms the court considers just and necessary.

(b)

Where all the parties cannot agree on an arbitral tribunal for the consolidated arbitration, appoint an arbitral tribunal in accordance with Section 1297.118.

(c)

Where all the parties cannot agree on any other matter necessary to conduct the consolidated arbitration, make any other order it considers necessary.