A technique facilitates enhanced sealing capability in a space saving format when utilizing a plurality of uniquely constructed seals. As a result, the seals are useful in swivels and other types of structures to provide secure sealing between seal surfaces while reducing the overall seal area. Each seal comprises a body having a seal base combined with lips which may be activated when the activation fluid is supplied under pressure. In swivel applications, the seals may be constructed in a vertical orientation as axial face seals. The vertical orientation of the seals enables construction of the swivel with a reduced cross-section and thus a reduced hydraulic loading.