We present a simple geometric model for the evolution of fluid permeability
during the sequential growth of deformation bands in an ideal elastic-brit
tle porous granular medium. The model is based on recent mechanical and mic
rostuctural results from laboratory experiments on large (10 cm diameter) s
andstone samples that reproduce held observation. The model assumes poroela
stic compaction of the rock matrix in the prefailure stage, followed either
by bulk shear-enhanced dilatancy or compaction in the postfailure stage, d
epending on confining pressure, and a constant-porosity shear zone that acc
umulates slip by sequentially increasing the number of discrete bands linea
rly with the inelastic strain. For large permeability contrasts between mat
rix and the deformation band, the model quantitatively explains the entire
permeability cycle observed in bulk samples, including the apparent paradox
of a negative correlation of bulk permeability with porosity during dilata
nt slip in the postfailure stage, as observed in recent laboratory tests.