Title

Development of Volume-average Theory for Deep-bed Filtration

Document Type

Article

Publication Date

Fall 10-2000

Abstract

Over the past 20 years, researchers have attempted, with limited success, to develop a general correlation for permeability loss within a deep-bed filter. The research presented here yields a unique result by rigorously developing a filtration model that focuses on the effective surface area as the dominant factor causing permeability loss. Both a constitutive relation and a geometric interpretation are developed to represent the effective surface area. The resulting macroscale equations accurately model the permeability reduction by incorporating the lower scale mechanisms. The model was tested using the specific process of water injection into a sandstone formation with experimental variables of salt concentration, pH, and concentration of influent fines. Postulated forms of the constitutive relations were verified through these experiments. By accounting for the changes in effective surface area, the model uniquely and accurately describes the permeability loss within a deep-bed filter.

Publication Title

AIChE Journal

Volume

46

Issue

10

First Page

1918

Last Page

1926

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