Page 282 - Reservoir Formation Damage

Chapter 12

Cake Filtration:

Mechanism,
Parameters and

Modeling*

Summary
Models for interpretation and prediction of incompressible and com-
pressible filter cake thickness, and filtrate volume and rate data for linear
and radial filtration cases, and at static and dynamic filtration conditions
are presented. Effects of compressibility and small particle invasion and
deposition inside the cake and formation, as well as the Darcy versus non-
Darcy flow regimes, are considered. Methods and diagnostic charts for
determining the model parameters from experimental filtration data are
presented. Applications for radial and linear filtration cases are presented
and the results are compared for constant rate and constant pressure drive
filtration. Model assisted analyses of experimental data demonstrate the
diagnostic and predictive capabilities of the models. The parametric
studies indicate that the particle screening efficiency of the formation is
an important factor on the filter cake properties and filtration rate, the
differences between the linear and radial cake filtration performances are
more pronounced, and the cake thickness and filtrate volume are smaller,
for constant pressure filtration than constant rate filtration. The present
thickness-averaged ordinary differential models are shown to reproduce
the predictions of the previous partial differential model rapidly with
significantly less computational effort. Because of the simplicity of the
equations and reduction of computational effort, the thickness-averaged

* Parts of this chapter have been reprinted with permission of the American Institute of
Chemical Engineers and the Society of Petroleum Engineers from Civan (1998a,b, and
1999a, b).

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