Using the nonlinear gyrokinetic code package GENE/GIST [F Jenko, W Dorland, M. Kotschenreuther. and B. N. Rogers, Phys Plasmas 7, 1904 (2000): P. Xanthopoulos, W. A. Cooper, F. Jenko, Yu. Turkin, A. Runov. and J. Gerger, ibid. 16, 082303 (2009)], we Study the turbulent transport in a broad family of stellarator designs. to understand the geometry dependence of the microturbulence. By using a set Of flux tubes oil a given flux surface. we Construct a picture of the two-dimensional structure of the microturbulence over that surface and relate this to relevant geometric quantities, such as the Curvature. local shear, and effective potential in the Schrodinger-like equation governing linear drift modes. (C) 2009 American Institute in Physics. [doi: 10.1063/1.3258848]