Pressure Distribution in Oil and Gas Reservoirs by Membrane, Analogy
- Aaron J. Miles (Missouri School of Mines) | Eugene A. Stephenson (Metallurgy University of Kansas)
- Document ID
- Society of Petroleum Engineers
- Transactions of the AIME
- Publication Date
- December 1938
- Document Type
- Journal Paper
- 135 - 145
- 1938. Original copyright American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Copyright has expired.
- 2.4.3 Sand/Solids Control, 1.6 Drilling Operations, 4.3.4 Scale
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The pressure distribution in a producing oil or gas reservoir has beenobtained mathematically in a limited number of special cases where the boundaryof the reservoirs are simple geometric figures with the wells convenientlylocated within them. Using some of the previous work as a basis, it can beproved that a number of additional problems of pressure distribution can besolved by use of soap film. This method is particularly applicable to areservoir drained by a number of wells, or to a reservoir of irregular shape,or to both. Since this method obtains the pressure distribution, it alsoestablishes the drainage boundaries of the wells.
This paper derives the analogy between the equation representing the pressuredistribution in a reservoir and the equation of the deflected membrane. It alsodescribes the apparatus and the method of operation. The experimental method isemployed to solve a problem whose mathematical solution is known and theresults compared. These are found to be in good agreement.
The method is applicable to any homogeneous liquid, compressible orincompressible, or to a gas, flowing in a reservoir, of uniform thickness,permeability and porosity. The flow state may be either the steady state or thetransient state wherein the density or pressure of the fluid in the reservoirdeclines at a constant rate.
Fluids encountered in the oil reservoir are compressible and expand and movetoward the drilled hole where the pressure is lowest. The loss of fluid fromthe reservoir lowers the pressure in the more distant parts of the reservoir,permitting the fluids in these parts to expand and move toward the well.
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