Scaled mobility (diffusion coefficient) 4πηa|U/F| versus Λ1 for symmetric (Λ2/Λ1 = 1), weakly coupled (ϵ12 = 0.01) bilayers that are asymmetrically supported (2/1 = 1000) on gels with dimensionless permeabilities 1/a = ∞, 8, 4, 2, 1, 0.5, 0.25, 0.125, 0.125/2, and 0.125/4 (top to bottom) (calculations with N = 12). (Dashed lines) Theories of Saffman and Delbrück (9) (Λ << 1) and Hughes et al. (10) (Λ >> 1) for 1/a = 2/a → ∞. To see this figure in color, go online.