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Numerical analysis of a stabilized finite element method for tracer injection simulations

โœ Scribed by Sandra M.C. Malta; Abimael F.D. Loula; Eduardo L.M. Garcia

Book ID
104268216
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
636 KB
Volume
187
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

To solve a system of partial dierential equations that models tracer injection processes in oil reservoirs we use a post-processing technique to compute an accurate approximation for the velocity ยฎeld and a stabilized ยฎnite element method (SUPG) for the spatial approximation of the tracer concentration combined with a backward ยฎnite dierence discretization in time. Stability, convergence and error estimates are achieved. Numerical results for homogeneous and heterogeneous media are presented illustrating the performance of the proposed methodology.

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