A tight sandstone core plug at zero water saturation is mounted in a pressure test cell. The sample chamber is filled with nitrogen gas. A known square pressure pulse is applied at the top of the core plug, and the pressure response is probed at its opposite end. The side surface of the core plug is wrapped in an impermeable sleeve.
The system is at room temperature, and the applied pressure pulse has a mean value of 500 psi and an amplitude of 250 psi.
This two-dimensional model employs Cartesian coordinates.
Figure 2 shows the pressure transient response at the bottom of the sample chamber, for the applied pressure waveform at its top, for the cases without slippage correction (b = 0, green curve) and with the Klinkenberg correction (red curve).
The movie below shows the pressure distribution throughout the sample chamber, for the first 50 seconds of the experiment.