“…This method has been tested by Gray and coworkers, who extensively studied the effects of adding asphaltene polymers to kaolin fines on the deposition rates in hydrotreated light gas oil using a model batch internally recirculating draft-tube Ž . porous bed Wang et al, 1999Wang et al, , 2001 Although relatively little effort has been made to study the deposition phenomena of fines in nonaqueous media in trickle-bed reactors and their hydrodynamics, similar problems have been extensively studied, mainly in the context of Ž single-phase aqueous flows in deep-bed filtration Herzig et al, 1970;O'Melia and Ali, 1978;Vigneswaran and Tulachan, 1988;Tien, 1989;Stephan and Chase, 2000;Ortiz-Arroyo et . al., 2002 . While it is expected that the same general governing hydrodynamic equations model the plugging in trickle Ž .…”