A method of producing graphene sheets directly from graphite mineral (graphite rock) powder, comprising: (a) forming an intercalated graphite compound by an electrochemical intercalation procedure conducted in an intercalation reactor, containing (i) a liquid solution electrolyte comprising an intercalating agent and a graphene plane-wetting agent dissolved therein; (ii) a working electrode that contains the graphite material powder as an active material; and (iii) a counter-electrode, and wherein a current is imposed upon the working electrode and counter electrode at a current density sufficient for effecting electrochemical intercalation of the intercalating agent and/or wetting agent into interlayer spacing, wherein the wetting agent is selected from melamine, ammonium sulfate, sodium dodecyl sulfate, Na(ethylenediamine), tetraalkylammonium salts, ammonia, carbamide, hexamethylenetetramine, organic amine, poly(sodium-4-styrene sulfonate), or a combination thereof; and (b) exfoliating and separating the intercalated graphite compound using ultrasonication, thermal shock exposure, and/or a mechanical shearing treatment to produce graphene sheets.