“…They showed that the flow through the phase boundary is intermittent in character; flow is impeded temporarily on the phase boundary and, later, it leaks through catastrophically because of the mass accumulation on the phase boundary. Their findings are confirmed by various recent modeling studies, such as axisymmetric geometry (Machetel and Weber, 1991;Peltier and Solheim, 1992), 2-D Cartesian geometry (Liu et al, 1991;Weinstein, 1993), 3-D Cartesian geometry (Honda et al, 1993) and 3-D spherical geometry . This type of intermittent flow behavior is called "flushing" or "avalanche" in recent 3-D studies (Honda et al, 1993;Tackley et al, 1993).…”