A compression rheology model is used to describe the behavior of networking solids undergoing centrifugal filtration under batch operation. A description of the batch filtration process is accomplished through the use of the rheologic functions for compressive yield stress p(y)(phi) and the hydrodynamic resistance R(phi), with a characteristic pressure scaling, timescaling, and membrane resistance. Comparison of the results of this model to those found in engineering text books indicates that noncompression models fail to describe the variation in the cake resistance. The compression rheology model also predicts that the effective cake resistance is approximately 20% larger than that predicted by conventional theory. 0 2005 American Institute of Chemical Engineers AIChE J, 52: 545-556, 2006