THE MODIFIED METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OPERATOR-SPLITTINGPROCEDURES FOR COMPRESSIBLE MULTICOMPONENT DISPLACEMENT PROBLEM

YUAN Yirang

Journal of Systems Science & Complexity ›› 2003, Vol. 16 ›› Issue (1) : 30-045.

PDF(742 KB)
PDF(742 KB)
Journal of Systems Science & Complexity ›› 2003, Vol. 16 ›› Issue (1) : 30-045.
article

THE MODIFIED METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OPERATOR-SPLITTINGPROCEDURES FOR COMPRESSIBLE MULTICOMPONENT DISPLACEMENT PROBLEM

  • YUAN Yirang
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Abstract

For the three-dimensional compressible multicompouent displacement problem we put forward the modified method of characteristics with finite element operator-splitting procedures and make use of operator-splitting, characteristic method, calculus of variations, energy method, negative norm estimate, two kinds of test functions and the theory of prior estimates and techniques. Optimal order estimates in L~2 norm are derived for the error in the approximate solution. These methods have been successfully used in oil-gas resources estimation, enhanced oil recovery simulation and seawater intrusion numerical simulation.

Key words

Multicomponent displacement / 3-dimensional compressibility / operator-splitting / characteri

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YUAN Yirang. THE MODIFIED METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OPERATOR-SPLITTINGPROCEDURES FOR COMPRESSIBLE MULTICOMPONENT DISPLACEMENT PROBLEM. Journal of Systems Science and Complexity, 2003, 16(1): 30-045
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