Sealed and thermally insulating tank having inter-panel insulating inserts

The invention relates to a sealed and thermally insulating tank wall comprising a thermally insulating barrier defining a support surface for a sealing membrane, the thermally insulating barrier comprising two adjacent insulating panels jointly delimiting an inter-panel space, the tank wall further comprising an insulating insert arranged in the inter-panel space so as to fill the inter-panel space, the insulating insert comprising an insulating core at least partially covered by a wrapper, the insulating core comprising layered glass wool, the layered glass wool comprising laps of fibers superposed in a direction of layering, the insulating insert being arranged in the inter-panel space in such a way that the direction of layering of the layered glass wool is parallel to a widthwise direction of the inter-panel space.