A method of drilling bore holes by means of a drill bit wherein a drilling fluid is applied to said drill bit, wherein said drilling fluid comprises an aqueous structured surfactant system and wherein said structured surfactant system is a fluid composition which has shear dependent viscosity and solid suspending properties and which comprises a surfactant mesophase dispersed in or interspersed with an aqueous phase, said mesophase comprising a G-phase, spherical or spheroidal bodies having dimensions of from 0.1 to 50 microns formed from substantially concentric shells of surfactant bilayer or lamellar hydrated solid, and said structured surfactant system contains a total of less than 10% by weight of oils, organic solvents and hydrotropes.