Linear stability of one-dimensional non-Darcy flow in broken rocks

Considering the effect of non-Darcy flow, the perturbation theory and normal mode method are introduced to analyze the linear stability of one-dimensional non-Darcy flow of gases in broken rocks. A stability criterion for linear systems is obtained theoretically when the steady states of pressure and velocity fields are perturbed, and the effects of the physical parameters on the linear governing system are studied theoretically and numerically. It is pointed out that the deviation coefficient from Darcy's law plays an important role in the governing system; the increasing absolute value of deviation coefficient from Darcy's law stabilizes the system, and the numerical results are shown graphically. Copyright (c) 2015 John Wiley & Sons, Ltd.