Turbine shroud assemblies with anti-migration seals

A turbine shroud assembly for use with a gas turbine engine, the turbine shroud assembly comprising

• a carrier segment made of metallic materials and arranged circumferentially at least partway around an axis, the carrier segment including an outer wall, a first support wall that extends radially inward from the outer wall and is formed to include a first recess that opens radially inwardly and extends circumferentially at least partway around the axis, and a first cantilevered wall extending radially inwardly from a first recess top wall of the first recess and spaced apart from opposing inner walls of the first recess so as to form a first groove between a first inner wall of the first recess and a first outer wall of the first cantilevered wall that faces the first inner wall, the first cantilevered wall and the first groove extending circumferentially at least partway around the axis, the carrier segment further including at least one buffer air passageway that extends radially through the first support wall and the first cantilevered wall and is configured to discharge high-pressure buffer air, the first support wall being formed to further include a second recess located at a first circumferential end of the first groove that opens radially inwardly, wherein the second recess includes a second recess top wall that is radially outwardly spaced apart from the first recess top wall such that a second radial depth of the second recess is greater than a first radial depth of the first recess,
• a blade track segment made of ceramic matrix composite materials and including a shroud wall that extends circumferentially partway around the axis and an attachment feature configured to be coupled to the carrier segment, and
• a buffer air seal assembly located radially between the carrier segment and the shroud wall of the blade track segment and including a first tandem seal arranged in the first groove, wherein the first tandem seal includes first and second seal members that each extend circumferentially at least partway about the axis, wherein the second seal member is arranged radially outward of the first seal member within the first groove,
• wherein a first end of the second seal member extends circumferentially beyond the first circumferential end of the first groove, and wherein the first end of the second seal member extends at least partially radially outwardly into the second recess so as to block movement of the second seal member in a first circumferential direction.