Wyo. Stat. § 1-36-118: Venue upon initial and subsequent applications.

An initial application shall be made to the court of the county in which the agreement provides the arbitration hearing shall be held. Otherwise the application shall be made in the county where the adverse party resides or has a place of business or, if he has no residence or place of business in this state, to the court of the county where the adverse party can be served. All subsequent applications shall be made to the court hearing the initial application unless the court otherwise directs.