A geometric anisotropy factor (A(f)) of two-dimensional, natural fract
ure systems has been defined according to fracture spacing and orienta
tion in a given direction. Geometric anisotropy of fracture systems ha
s a major effect on the percolation threshold (the critical fracture d
ensity) of fracture systems below which the overall permeability is ze
ro. A two-dimensional distinct element code (UDEC) has been used to ca
lculate directional flow-rates of fracture systems. Simulated and natu
ral fracture patterns, sampled on outcrops in the Lake District (Engla
nd), have been tested to examine the relation between geometric anisot
ropy and permeability anisotropy, which is demonstrated to have a powe
r-law form. Also, the differential anisotropy factor (A(f)) results in
different universal exponents which govern the relation between fract
ure density and flow rates.