This paper presents the results of a theoretical and experimental study ofthe effect of preperforated liners on well productivity. The analysis concernsthe rectangular type of slot, either machine or torch cut, which is common inCalifornia.
Muskat treated this problem recently in a mathematical analysis of the flow ofoil or gas from natural reservoirs into both gunperforated and slotted liners.This paper presents additional and simplified analytical considerations andconclusions for the slotted liner, the solutions being applicable in thelaboratory as well as in the field.
An application of the analytical methods to permeability measurements onmounted core samples is given, to show the effects of sealing wax or otherobstructions on the end faces of the cores.
Results
Fig. 1 compares the results of some theoretical calculations with the resultsof electrical analogy experiments performed in the Standard Oil Company ofCalifornia's Production Technology Laboratory at La Habra, California.
Fig. 1 indicates that the flux into short, "three-dimensional slots" of the relative dimensions encountered in practice is approximately equal tothat into full-length, "two-dimensional slots" having the same openfraction of pipe. (The same numbers of slot rows, and the same radius ratio arealso implied.) It can be seen from physical considerations that the closenessof this approximation must improve as the ratio of the external radius to theinternal radius increases.
T.P. 1724
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