A seal ring assembly for use with a rotary machine that includes an axis of rotation includes a seal housing comprising a secondary sealing surface and a secondary seal assembly coupled to the seal housing. The secondary seal assembly includes a seal ring coupled to the seal housing, wherein the seal ring is configured to form a secondary seal with the secondary sealing surface. The secondary seal assembly also includes at least one protection ring positioned upstream from the seal ring. The secondary seal assembly is configured to be biased along the axis such that biasing the at least one protection ring facilitates removing debris from at least a portion of the secondary sealing surface over which the seal ring travels during biasing.