By analyzing experimental data we show that in many room-dry rocks, the Poi
sson's ratio (PR) decreases with decreasing differential pressure (confinin
g minus pore pressure). This means that in gas-saturated rocks, PR decrease
s with increasing pore pressure. We confirm the generality of the observed
effect by theoretically reproducing it via effective medium modeling. This
effect can be used as a new tool for overpressure detection from surface se
ismic, cross-well, sonic logs and measurements ahead of the drill bit.