"A generalized digital analysis for calculating three phase, three dimensional flow in reservoirs is developed. The computerized mathematical model is applicable to depletion drive, gas injection, water injection, and/or aquifer drive systems with modifications specific to the simulation criterion of that type of drive and includes fluid compressibility effects, gravity drainage and capillary pressure. The simulation allows arbitrary consideration of reservoir heterogeneity, geometry, well locations and rates of production. An innovation to the alternating direction technique for linear differential equations discussed by Brian is developed and employed in order to render the method of solution applicable to non-linear differential equations. The analysis was applied to field-size simulations and was found to be stable for varied drive reservoirs within reasonable time increments"--Abstract, Page ii.
Carlile, Robert E.
Govier, John P., 1913-1998
Arnold, Marion D., 1932-2010
Gillett, Billy E.
Rockaway, John D.
Geosciences and Geological and Petroleum Engineering
Ph. D. in Petroleum Engineering
University of Missouri--Rolla
vi, 41 Pages
© 1970 Leonard Frederick Koederitz, All rights reserved.
Dissertation - Open Access
Library of Congress Subject Headings
Petroleum reserves -- Mathematical models
Oil reservoir engineering
Three-dimensional display systems
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Koederitz, Leonard, "A three-dimensional mathematical simulator of multiphase systems in a petroleum reservoir" (1970). Doctoral Dissertations. 2117.