The application of the relaxation method to the solution of problems involving the flow of fluids through porous media

Author

Alexander Antoine Zwierzchowski

Abstract

"The purpose of this investigation is to determine the feasibility of applying the relaxation method of mathematical analysis to the solution of problems in rheology. The relaxation method was first introduced by R. V. Southwell who applied it to the problem of electrical conductivity. It was later used by M. W. Emmons to solve two-dimensional heat conduction problems. The steady-state flow of fluids through porous media can be difficult or impossible by the usual analytical methods even with rather simple boundary conditions. The relaxation method promises to provide an easier method of solution and to provide a means of solving some of the problems not yet solved. It is the object of this thesis to establish the feasibility of the relaxation method rather than to solve any new problem. It finds a maximum usefulness in reservoir mechanics of petroleum engineering"--Preface, page iii.

Advisor(s)

Miles, Aaron J.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1949

Pagination

vii, 41 pages

Note about bibliography

Includes bibliographical references (pages 78-79).

Rights

© 1949 Alexander A. Zwierzchowski, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Petroleum engineering -- Fluid dynamicsRelaxation methods (Mathematics)

Thesis Number

T 824

Print OCLC #

5977309

Electronic OCLC #

645240986

Recommended Citation

Zwierzchowski, Alexander Antoine, "The application of the relaxation method to the solution of problems involving the flow of fluids through porous media" (1949). Masters Theses. 4784.
https://scholarsmine.mst.edu/masters_theses/4784