Please use this identifier to cite or link to this item:
Scopus Web of ScienceĀ® Altmetric
Type: Journal article
Title: The inverse problem of determining the filtration function and permeability reduction in flow of water with particles in porous media
Author: Alvarez, A.
Hime, G.
Marchesin, D.
Bedrikovetski, P.
Citation: Transport in Porous Media, 2007; 70(1):43-62
Publisher: Kluwer Academic Publ
Issue Date: 2007
ISSN: 0169-3913
Statement of
Alvarez, A. C., Hime, G., Marchesin, D., Bedrikovetski, P.
Abstract: Deep bed filtration of particle suspensions in porous media occurs during water injection into oil reservoirs, drilling fluid invasion of reservoir production zones, fines migration in oil fields, industrial filtering, bacteria, viruses or contaminants transport in groundwater etc. The basic features of the process are particle capture by the porous medium and consequent permeability reduction. Models for deep bed filtration contain two quantities that represent rock and fluid properties: the filtration function, which is the fraction of particles captured per unit particle path length, and formation damage function, which is the ratio between reduced and initial permeabilities. These quantities cannot be measured directly in the laboratory or in the field; therefore, they must be calculated indirectly by solving inverse problems. The practical petroleum and environmental engineering purpose is to predict injectivity loss and particle penetration depth around wells. Reliable prediction requires precise knowledge of these two coefficients. In this work we determine these quantities from pressure drop and effluent concentration histories measured in one-dimensional laboratory experiments. The recovery method consists of optimizing deviation functionals in appropriate subdomains; if necessary, a Tikhonov regularization term is added to the functional. The filtration function is recovered by optimizing a non-linear functional with box constraints; this functional involves the effluent concentration history. The permeability reduction is recovered likewise, taking into account the filtration function already found, and the functional involves the pressure drop history. In both cases, the functionals are derived from least square formulations of the deviation between experimental data and quantities predicted by the model.
Keywords: Deep bed filtration
Suspension transport
Porous media
Inverse problem
Tikhonov regularization
Description: The original publication can be found at
DOI: 10.1007/s11242-006-9082-3
Appears in Collections:Aurora harvest
Australian School of Petroleum publications

Files in This Item:
File Description SizeFormat 
hdl_47445.pdf310.89 kBAuthor's post-print View/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.