Provided is a method for making a composite structure with exposed conductive fibers. The exposed conductive fibers can be used for static dissipation. In the present method, a liquid, gum, gel, or impermeable film mask is applied to the conductive fiber material. The mask functions to prevent infiltration of curable liquid resin into the conductive fiber material. The masked conductive fiber material is incorporated into the composite structure, along with structural fiber material. The liquid resin is cured. The mask material and cured resin are removed from the masked areas, thereby exposing the conductive fiber material. The exposed conductive fiber material can collect and drain electrostatic charges. The present method can be used to make storage tanks and other objects that require electrostatic charge dissipation.