A foam wall structure, comprising: (a) a frame comprising: (i) a first member; (ii) a second member spaced apart from the first member; and (iii) connecting members extending between the first member and the second member, wherein the first member, the second member, and the connecting members (16, 17) each comprise a front surface and a rear surface that form a front frame surface and a rear frame surface; (b)a foam panel overlying the front frame surface, wherein the foam panel, the first member, the second member, and the connecting members (16, 17) define a cavity; (c)a first spray-applied foam layer comprising polyurethane, polyurea, polyisocyanurate, or a mixture thereof and having a density of at least 44.9 kg/m 3 (2.8 lb/ft 3) disposed within the cavity, wherein the first foam layer being self-adhered to the foam panel and self-adhered to each of the first member, the second member, and two or more connecting members (16, 17), and wherein the first spray-applied foam layer: (i) does not cover the entire rear surface of the foam panel facing the cavity, and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is between a rear surface of first spray-applied foam layer and the rear frame surface and (d) a second spray-applied_foam layer comprising polyurethane, polyurea, polyisocyanurate, or a mixture thereof and having a density of less than 44.9 kg/m 3 (2.8 lb/ft 3) that is disposed within the cavity and self-adhered to the foam panel and self-adhered to the first foam layer, such that: (i) it covers the portion of the rear surface of the foam panel facing the cavity that is not covered by the first spray-applied foam layer and at least a portion of the rear surface of the first spray-applied polyurethane foam layer; and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is formed between a rear surface of second spray-applied foam layer and the rear frame surface. (a) a frame comprising: (i) a first member; (ii) a second member spaced apart from the first member; and (iii) connecting members extending between the first member and the second member, wherein the first member, the second member, and the connecting members (16, 17) each comprise a front surface and a rear surface that form a front frame surface and a rear frame surface; (i) a first member; (ii) a second member spaced apart from the first member; and (iii) connecting members extending between the first member and the second member, wherein the first member, the second member, and the connecting members (16, 17) each comprise a front surface and a rear surface that form a front frame surface and a rear frame surface; (b)a foam panel overlying the front frame surface, wherein the foam panel, the first member, the second member, and the connecting members (16, 17) define a cavity; (c)a first spray-applied foam layer comprising polyurethane, polyurea, polyisocyanurate, or a mixture thereof and having a density of at least 44.9 kg/m 3 (2.8 lb/ft 3) disposed within the cavity, wherein the first foam layer being self-adhered to the foam panel and self-adhered to each of the first member, the second member, and two or more connecting members (16, 17), and wherein the first spray-applied foam layer: (i) does not cover the entire rear surface of the foam panel facing the cavity, and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is between a rear surface of first spray-applied foam layer and the rear frame surface and (i) does not cover the entire rear surface of the foam panel facing the cavity, and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is between a rear surface of first spray-applied foam layer and the rear frame surface and (d) a second spray-applied_foam layer comprising polyurethane, polyurea, polyisocyanurate, or a mixture thereof and having a density of less than 44.9 kg/m 3 (2.8 lb/ft 3) that is disposed within the cavity and self-adhered to the foam panel and self-adhered to the first foam layer, such that: (i) it covers the portion of the rear surface of the foam panel facing the cavity that is not covered by the first spray-applied foam layer and at least a portion of the rear surface of the first spray-applied polyurethane foam layer; and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is formed between a rear surface of second spray-applied foam layer and the rear frame surface. (i) it covers the portion of the rear surface of the foam panel facing the cavity that is not covered by the first spray-applied foam layer and at least a portion of the rear surface of the first spray-applied polyurethane foam layer; and (ii) has a thickness, in the dimension extending from the rear surface of the foam panel, such that it extends to a position intermediate the front frame surface and the rear frame surface, such that a gap is formed between a rear surface of second spray-applied foam layer and the rear frame surface.