This paper examines the flow stability of a polymerizing liquid in an aniso
tropic porous medium. The polymerization reaction leads to an increasing vi
scosity along the flow direction, particularly behind the advancing resin/a
ir front, and may cause the miscible displacement process to become unstabl
e and uneven. A linearized stability analysis of the flow within the filled
region behind the liquid /air interface has been conducted. This reveals t
hat under a moderate adverse viscosity gradient, the polymerization reactio
n has the potential for stabilizing the flow process by damping out disturb
ances of wavelengths above a critical size. Guidelines are provided for adj
usting the composition of the reacting liquid and the anisotropic medium pe
rmeability to stabilize the flow process.