The invention relates to a sealed and thermally insulating tank integrated into a supporting structure (2), the tank comprising at least one inclined tank wall (1) forming an angle with a horizontal direction and fixed to a supporting wall of the supporting structure ( 2), the tank wall (1) having a multilayer structure comprising successively, in the direction of the thickness from the outside to the inside of the tank, a thermally insulating barrier (3) retained against the corresponding bearing wall and a waterproofing membrane (4) carried by the thermally insulating barrier (3), the tank comprising waterproof strips (15) in the space formed between the thermally insulating barrier (3) and the supporting wall, in which the waterproof strips (15) segment the space between the thermally insulating barrier (3) and the load-bearing wall into a plurality of zones (14) succeeding each other in a direction of greater slope of the wall, the zones (14) extending throughout a di Transverse dimension of the vessel wall (1) in a transverse direction inclined to the direction of greatest slope. Figure to be published with the abstract: Fig. 2
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