"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.
Carlile, Robert E.
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
Geosciences and Geological and Petroleum Engineering
Ph. D. in Petroleum Engineering
University of Missouri--Rolla
xii, 288 pages
© 1968 Alton John Nute, All rights reserved.
Dissertation - Open Access
Library of Congress Subject Headings
Unsteady flow (Fluid dynamics)
Unsteady flow (Fluid dynamics) -- Computer programs
Pressure -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Nute, Alton John, "A numerical simulation of pressure distribution and radius of drainage in infinite radial aquifers - constant rate case" (1968). Doctoral Dissertations. 2107.