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A consistent approach to variable bubble‐point systems
Author(s) -
Herrera Ismael,
Camacho Rodolfo G.
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199701)13:1<1::aid-num1>3.0.co;2-v
Subject(s) - bubble , variable (mathematics) , point (geometry) , mathematics , bubble point , order (exchange) , calculus (dental) , mathematical economics , economics , mathematical analysis , mechanics , geometry , physics , medicine , dentistry , finance
Here, it is shown that the “traditional approach” to variable bubble‐point problems, using black‐oil models, is not consistent, because it violates the “bubble‐point conservation law.” In order to have a consistent approach, it is necessary to incorporate shocks—discussed in previous papers—in which the bubble‐point is discontinuous. A “consistent approach” is applied to specific examples, and results compared with those of the “traditional” one. The conclusion that the “traditional approach” generally yields large errors for the production rates and other parameters of interest in the oil industry, is reached. © 1997 John Wiley & Sons, Inc.