This paper discusses different issues that appear when characterizing turbulence in two-phase, air-water flows, in relatively deep containers. The flows correspond to bubble plumes with relatively large bubble diameters. Results of velocity time series obtained with the help of Acoustic Doppler Velocimeters (ADVs) are presented and analyzed. The post-processing of those signals is discussed in detail, presenting a methodology to separate air velocity from water velocity using ADV. Turbulence statistics, obtained from the time series, are also presented. Specifically, spatial distributions for the turbulent kinetic energy are analyzed. An interpretation of the behavior of the plume in the tank is also provided.