Doctoral Dissertations

Abstract

"The diffusivity equation for the transient flow of slightly-compressible liquids has been solved for infinite radial aquifers, subject to constant terminal rates, by employing a Romberg integration of the Van Everdingen - Hurst explicitly solution over the transformed integral limits for .01̲TD>500, the classical solutions presented by Carslaw and Jaeger, Mortada, Theis, and others are incorporated in the digital analysis to yield dimensionless pressures for 40 selected dimensionless radius (RD) ratios between 1 and 64 for dimensionless time values of .0005 to 1000.0. A new expression for dimensionless pressure-distribution, PD'(RD, TD), as a fraction of well bore pressure drop is presented with cross plots of the results obtained. These plots permit the solution of field problems involving PD', RD, and TD without the aid of the computer and without interpolation. A radius of drainage relationship for an infinite radial aquifer is developed from the least squares polynomial curve fit of PD' = .01. additionally, an on-line mapping technique is presented which permits the aquifer pressure distribution to be displayed graphically on the I.B.M. 360/50 On-Line Printer"--Abstract, page ii.

Advisor(s)

Carlile, Robert E.

Committee Member(s)

Arnold, Marion D., 1932-2010
Beveridge, Thomas R. (Thomas Robinson), 1918-1978
Gillett, Billy E.
Govier, John P., 1913-1998
Spokes, Ernest M., 1916-1995

Department(s)

Geosciences and Geological and Petroleum Engineering

Degree Name

Ph. D. in Petroleum Engineering

Publisher

University of Missouri--Rolla

Publication Date

1968

Pagination

xii, 288 pages

Note about bibliography

Includes bibliographical references (pages 203-209).

Rights

© 1968 Alton John Nute, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Unsteady flow (Fluid dynamics)Unsteady flow (Fluid dynamics) -- Computer programsAquifersPressure -- Mathematical models

Thesis Number

T 2191

Print OCLC #

6000807

Electronic OCLC #

862815145

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