IJPAM: Volume 90, No. 4 (2014)
ANALYSIS OF SOME DIFFERENCE SCHEMES
USED IN NUMERICAL SIMULATION OF
PRODUCTION/INJECTION WELLS
USED IN NUMERICAL SIMULATION OF
PRODUCTION/INJECTION WELLS
Igor Savin1, Boris Kunin2
1,2Department of Mathematical Science
University of Alabama
Huntsville, 301 Sparkman Drive, Huntsville, AL 35899, USA
1,2Department of Mathematical Science
University of Alabama
Huntsville, 301 Sparkman Drive, Huntsville, AL 35899, USA
Abstract. Asymptotic approximation/truncation error of a numerical scheme commonly used in petroleum engineering is analyzed. It is shown that the scheme has a (small) non-removable asymptotic error. A modification that eliminates the error from the scheme is found.
Received: April 9, 2013
AMS Subject Classification: 65N06, 65N12, 65N80, 65Z99
Key Words and Phrases: reservoir simulations, well modelling, flows in porous media, filtration
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DOI: 10.12732/ijpam.v90i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 4
