A C Alvarez et al 2006 Inverse Problems 22 69 doi:10.1088/0266-5611/22/1/005
A fast inverse solver for the filtration function for flow of water with particles in porous media
A C Alvarez1,2, P G Bedrikovetsky3, G Hime1,4, A O Marchesin5, D Marchesin1 and J R Rodrigues6
Show affiliationsModels for deep bed filtration in the injection of seawater with solid inclusions depend on an empirical filtration function that represents the rate of particle retention. This function must be calculated indirectly from experimental measurements of other quantities. The practical petroleum engineering purpose is to predict injectivity loss in the porous rock around wells. In this work, we determine the filtration function from the effluent particle concentration history measured in laboratory tests knowing the inlet particle concentration. The recovery procedure is based on solving a functional equation derived from the model equations. Well-posedness of the numerical procedure is discussed. Numerical results are shown.
- PACS
-
47.56.+r Flows through porous media
61.72.Qq Microscopic defects (voids, inclusions, etc.)
- MSC
-
76S05 Flows in porous media; filtration; seepage
76B03 Existence, uniqueness, and regularity theory (See also 35Q35)
49K40 Sensitivity, stability, well-posedness (See also 90C31)
- Subjects
- Dates
-
Issue 1 (February 2006)
Received 14 July 2005, in final form 8 November 2005
Published 22 December 2005
-
A fast inverse solver for the filtration function for flow of water with particles in porous media
A C Alvarez et al 2006 Inverse Problems 22 69
-
Gauge invariance in quantum mechanics: plane rotor with time-dependent magnetic flux
D H Kobe 1983 J. Phys. A: Math. Gen. 16 737
-
H H Rossi (1917-2000)
2000 J. Radiol. Prot. 20 69
-
Comparison of the Stark widths and shifts of the H-alpha line measured in a flash tube plasma with theoretical results
S A Flih et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 283
-
Revisiting work–energy theorem's implications
M Camarca et al 2007 Eur. J. Phys. 28 1181
-
A hydrophobic gate in an ion channel: the closed state of the nicotinic acetylcholine receptor
Oliver Beckstein and Mark S P Sansom 2006 Phys. Biol. 3 147
-
High resolution study of correlation satellites in the
-
resonant Auger spectra of Kr
J Mursu et al 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1973
-
Direct measurement of van der Waals forces between solids in air
C J Coakley and D Tabor 1978 J. Phys. D: Appl. Phys. 11 L77
-
Regularizing cubic open Neveu-Schwarz string field theory
Nathan Berkovits and Warren Siegel JHEP11(2009)021
-
Ernest orlando lawrence seventeenth duddell medallist
1941 Proc. Phys. Soc. 53 1
Users also read
What's this?-
Earth science contexts for teaching physics.
Part 2: Contexts relating to the teaching of Energy, Earth and Beyond and Radioactivity - The potential offered by real-time, high-sensitivity monitoring of ethane in breath and some pilot studies using optical spectroscopy
- Automated electric charge measurements of fluid microdrops using the Millikan method
Related review articles
What's this?- Open mathematical problems regarding non-Newtonian fluids
- Using multiscale norms to quantify mixing and transport
- Theory of fields of extremals for multiple integrals