Doctoral Dissertations
Abstract
One criterion for determining the precision of pressures calculated by a simulation model is the accuracy of the material balance. A high degree of precision in the calculated pressures is a necessary condition for elimination of error in prediction of fluid migration in the reservoir. However, this condition is not sufficient to guarantee accuracy of the simulation, since inaccuracies are introduced by truncation errors, machine round-off errors, and by the use of finite difference approximations to represent nonlinear partial differential equations.
A new procedure called Error Matrix Technique has been developed for reduction of material balance errors. This reduction is accomplished by adjusting potential gradients at every grid point in the simulation model so that the material balance is accurately maintained. The resulting error matrix is solved by the strongly Implicit Procedure.
Performance of a hypothetical oil reservoir was simulated by both conventional methods and by the Error Matrix Technique. The new technique was found to be significantly more accurate than the conventional simulation"--Abstract, page ii.
Advisor(s)
Arnold, Marion D., 1932-2010
Committee Member(s)
Govier, John P., 1913-1998
Harvey, A. Herbert
Rigler, A. K.
Wilson, Tommie C., 1939-
Carlile, Robert E.
Department(s)
Geosciences and Geological and Petroleum Engineering
Degree Name
Ph. D. in Petroleum Engineering
Sponsor(s)
Tenneco Oil Company
Publisher
University of Missouri--Rolla
Publication Date
1973
Pagination
vi, 95 pages
Note about bibliography
Includes bibliographical references (pages 92-94).
Rights
© 1973 Abdul Rashid Merchant, All rights reserved.
Document Type
Dissertation - Open Access
File Type
text
Language
English
Subject Headings
Petroleum reserves -- Mathematical modelsPetroleum reserves -- Computer simulationHydrocarbon reservoirs -- Mathematical models
Thesis Number
T 2797
Print OCLC #
6037429
Electronic OCLC #
913833535
Recommended Citation
Merchant, Abdul Rashid, "Convergence of material balance in mathematical simulation of petroleum reservoirs" (1973). Doctoral Dissertations. 178.
https://scholarsmine.mst.edu/doctoral_dissertations/178