The sponge phase monodomain extending from the brine corner to the alc
ohol corner of an ionic surfactant-alcohol-brine phase diagram is firs
t detailed and then investigated by electrolytic conductivity and refr
active index measurements. Upon progressive dimunition of the brine fr
action of the sponge phase, the ionic conductivity suffers from two gu
mps corresponding to two respective critical concentrations, while the
variation of the refractive index remains linear but exhibits two slo
pe changes. According to the phase diagram observations we propose one
scenario, in agreement with theoretical predictions, to explain these
results in terms of continuous structural transformations of the amph
iphilic membrane from the swollen sponge phase to the inverse micellar
phase.