My basement wall is made of poured cement that was created in a form to look like bricks. It has the irregular surface of brick. It was insulated with a 3.5 inch blanket of fiberglass insulation with an aluminum and plastic outer surface (see picture). The blanket has been removed from the wall because several articles state, fiberglass insulation should never be touching a concrete wall because the walls will seep moisture and create mold.

I am looking at insulation options for the stud wall I plan to erect. One of the options is rigid foam board, there are several conflicting articles on rigid foam board. Some say for support you only need to put two large plastic washers and nails to hold up the board while others say to use glue and some say you must put glue around the entire back edge of the board to stop convection of the colder air at the top of the wall with the warmer air at the bottom. Since my wall has all the irregularities of a brick wall it would not be possible to seal the back of the board (see attached picture).

Most of the builders put the stud wall right up against the rigid foam board, they used pressure treated lumber because rigid foam board does allow moist vapor to pass through to into the home which over time would rot regular 2 by 4s. But then they put fiberglass insulation right up against the rigid foam board which is a recipe for mold. I think you would want a gap between the insulation and the stud wall and only use treated wood on the floor.

I am now considering building a stud wall with a one inch gap from the concrete wall and cutting up the fiberglass blanket that was on the wall to put between the studs and then covering the studs with wall board.

I am totally confused, there is so must conflicting information out there that I have a case of analysis paralysis. There must be some studies by architects that give a definitive answer to this question