The stress-dependent permeability of porous-fractured media is examined whe
re principal stresses do not coincide with the principal permeabilities. Th
is condition is the norm; and may arise when either flow is controlled at t
he local level due to the presence of inclined bedding partings or oblique
fractures, or as a result of the evolving loading environment. Permeability
response is controlled by shear and normal stiffnesses of fractures, frict
ional dilation coefficients, skeletal and grain modulii, initial permeabili
ties and stress state. For parameters representative of intact and fracture
d rocks, hydrostatic loading modes are shown to have the greatest effect in
the pre-failure regime. Sheer dilation effects are small, primarily contro
lled by the selected magnitudes of shear stiffnesses and dilation coefficie
nts. The resulting stress-permeability relationships, which cover both frac
tured and intact media, are examined in a numerical study of fluid flow inj
ected across the diameter of a cylindrical core with inclined fabric, subje
cted to various loading configurations. This is used to produce relationshi
ps that allow one to reduce flow test data in non-standard specimen geometr
ies, where effective stress changes are simultaneously applied. These resul
ts confirm the significant impact of inclination of the rock fabric with re
spect to both flow and loading geometry on the evolving permeability field.