The volumetric rate of colloidally induced surface particle release can be expressed as, by modifying the formulations by Khilar and Fogler (1983) and Civan (1996):
The volumetric rate of surface particle mobilization by the fluid shearing force can be expressed by modifying the formulations by Khilar and Fogler (1983) and Civan (1996) as:
Porosity and Permeability Variation
The porosity is expressed by (Liu and Civan, 1996):
and the permeability is estimated by (Liu and Civan, 1996)
Filter Cake Formation on the Injection Face
When the suspended particles existing in the injected fluid are large enough they cannot invade the formation or when a sufficient amount of fine particles are deposited in the porous formation to prevent particle invasion, a filter cake formation begins over the injection face. Liu and Civan (1995, 1996) applied a rate equation for the filter cake buildup similar to (Peng and Peden, 1992):
Model Assisted Analysis of Experimental Data
In this section, the application of the model to the analysis of formation damage in a variety of core tests is demonstrated. The model was validated and model parameters were determined using the data of core tests.
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