Bi-directional seal with dual seal profile system and method

A wellbore system, comprising:

• a first wellbore component having a bore, the first wellbore component comprising:
• a first sealing surface at an uphole axial position;
• a second sealing surface at a downhole axial position;
• and
• a first stop shoulder between the first sealing surface and the second sealing surface;
• and
• a second wellbore component, positioned within the bore, the second wellbore component comprising:
• an upper flex nose;
• a slot extending at a downward angle to a position radially closer to an axis of the bore;
• and
• a lower flex nose axially lower than the upper flex nose, wherein the lower flex nose forms a portion of an axially lowest portion of the second wellbore component;
• wherein the second wellbore component is coupled to the first wellbore component with a torquing force such that the upper flex nose is driven radially into the first sealing surface, the lower flex nose is driven radially into the second sealing surface, and an external pressure is directed into the slot to apply a radially outward force to the upper flex nose, on a side opposite the first sealing surface, to increase a sealing force between the upper flex nose and the first sealing surface.