As nouns the difference between lodgment and bridgehead
is that lodgment
is (us) an area used for lodging while bridgehead
is an area around the end of a bridge.
* lodgement (UK)
(US) An area used for lodging.
(US) The condition of being lodged.
(US) The act of lodging.
An area around the end of a bridge.
(military) A fortification around the end of a bridge.
(military) An area of ground on the enemy's side of a river or other obstacle, especially one that needs to be taken and defended in order to secure an advance.
(chemistry) Either of the two atoms in different parts of a molecule that are connected by a bridge.