The resulting surface depression is a shake-hole or simply, a collapse or depression, though specific ones occasionally find themselves given a proper-noun name.
Underground the result of such structural failure is a mass of boulders blocking the passage, and known as a "boulder choke".
sinkhole
A large hole in the ground formed when the roof of a cavern collapses is known as a sinkhole. Sinkholes can vary in size and are typically caused by natural processes such as erosion and the dissolution of soluble rocks like limestone.
Sinkholes form typically as limestone dissolves. A caldera is created by the collapse of volcanic vault ceilings.
Cavern formation can be related to mass wasting when the roof of a cavern collapses due to material being eroded or removed from the surrounding area by mass wasting processes. This can weaken the structural integrity of the cavern, leading to a collapse event. Additionally, mass wasting can also occur within a cavern if loose material on the walls or floor is destabilized by the movement of the cavern walls during mass wasting events.
Carlsbad Cavern is named after the town of Carlsbad, New Mexico, about 26 miles to the northeast.
Two features formed by underground weathering are caves and sinkholes. Caves are formed by the dissolution of limestone or other soluble rocks, creating underground chambers and passages. Sinkholes are depressions in the ground that form when the roof of an underground cavern collapses.
Caves are underground. They are big long holes underground. Sometimes, for some unknown reason, the roof of the cave can no longer support the weight of the ground above it and the ground collapses down into the cave. The land sinks. It fills the hole. Where there was a cave, there is now solid ground. Where there was land, there is now a big hole. So, you have a sinkhole when the roof of a cave collapses.
It was called "The Cavern Club".
There isn't a place called Lake Cavern, unless you meant the caverns in Lake Acuity, Lake Valor, and Lake Verity. Every lake has the cavern in the center of the lake and will have the trio inside in each when they have been released.
I am not at all sure what you mean by a "cavern zone", but you can only enter a cavern by an open, humanly-passable entrance on the land surface. +++ Ah! One mark to you! :-) I have re-visited my answer above because I have just looked down the page to see there's something called a "cavern zone" in some game or tother!
There are many caves in the Peak District, such as Peak Cavern (aka unofficially as The Devil's Arsehole), Blue John Cavern, Poole's Cavern, Speedwell Cavern. All are well worth visiting. Speedwell and Peak Caverns are in fact linked, but in a remote region beyond the show-cave limits.
I'll explore this cavern when I have a flashlight.