धारा 39

The mandate of an arbitrator or umpire terminates when the arbitration is concluded or when the mandate is revoked by the parties or by the arbitral tribunal. Where the mandate of an arbitrator or umpire is terminated, the arbitral tribunal shall continue with the arbitration with the remaining arbitrators. Where the arbitral tribunal is unable to continue with the arbitration, the Chief Justice or a Judge authorized by him shall appoint a new arbitrator or umpire. Where the Chief Justice or the Judge authorized by him is unable to make the appointment, the new arbitrator or umpire shall be appointed by the Supreme Court.