Experimental and Numerical Study to Investigate Dynamic Capillary Pressure Effect
in Two-Phase Flow in Porous Media
Simona Bottero, Majid Hassanizadeh
Department of Earth Sciences, Utrecht University, P.O.Box 80021, 3508 TA Utrecht,
The Netherlands
It is known from literature that traditional equations describing two-phase flow
processes in porous media may be inadequate in case of non-equilibrium or dynamic
condition.
In the latest theory an additional dynamic term is proposed such that capillary
pressure may depends on both the rate of change of saturation in time and on
saturation.
In this work we investigate the dynamic effects on capillary pressure-saturation
relationship in a homogeneous porous medium. A series of laboratory experiments are
performed using water and Tetrachloroetylene (PCE).
The experiments consist of a continuous cycle of drainage and imbibition where
boundary pressures of 20, 30, 40 kPa are applied. Homogeneous sand is uniformly
distributed in a column of 10 cm diameter and 22 cm high. Initially the sand is
fully water saturated. A large pressure is then applied at the bottom of the
column. As the pressure of PCE is much higher than the entry pressure of the porous
media, PCE flows vertically upward in the sand replacing water. The water replaced
by PCE and the PCE that flows out of the sample during the experiment are collected
in an overflow reservoir. The cumulative flow of both phases is measured throughout
the experiment. Pressure of both water and PCE phases and water saturation are
monitored locally inside the sand sample at three different depths by means of six
pore pressure transducers (PPT) and three tetra probe’s (TP) respectively.
Beside laboratory experiments a series of numerical experiments are performed. In
one set of experiments the traditional flow equations for two-phase flow are used.
In another set of experiments the effect of the additional dynamic term are
studied. Measured and simulated capillary pressure-saturation curves are compared
and discussed in this presentation.