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.
Arnold, Marion D., 1932-2010
Govier, John P., 1913-1998
Harvey, A. Herbert
Rigler, A. K.
Wilson, Tommie C., 1939-
Carlile, Robert E.
Geosciences and Geological and Petroleum Engineering
Ph. D. in Petroleum Engineering
Tenneco Oil Company
University of Missouri--Rolla
vi, 95 pages
© 1973 Abdul Rashid Merchant, All rights reserved.
Dissertation - Open Access
Petroleum reserves -- Mathematical models
Petroleum reserves -- Computer simulation
Hydrocarbon reservoirs -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Merchant, Abdul Rashid, "Convergence of material balance in mathematical simulation of petroleum reservoirs" (1973). Doctoral Dissertations. 178.