Theoretical Note on Linear Absorption Methods of Determination of Fluid Saturation in Porous Media
- Leonard B. Lipson (Magnolia Petroleum Co.)
- Document ID
- Society of Petroleum Engineers
- Journal of Petroleum Technology
- Publication Date
- August 1951
- Document Type
- Journal Paper
- 19 - 20
- 1951. Original copyright American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Copyright has expired.
- 5.3.1 Flow in porous media
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Boyer, Morgan and Muskat, with improvements by Morgan, McDowell, and Doty,and Laird and Putnam, have described a scheme for the determination of fluidsaturation porous media by measuring the x-ray linear absorbing power ofparticular fluids in the media. This method is one of several which depend onthe linear absorbing power of the fluids in the porous medium. Other examplesof linear absorption methods involve measurement of dielectric constant, gammaray absorption, and ultrasonic attenuation. It is the purpose of this note todemonstrate by theoretical considerations that the absorption versus saturationcurve for a linear absorption method is not necessarily a single valuedfunction of the saturation. Such non-unique behavior must be considered andevaluated before suitable saturation determinations can be made by a linearabsorption method.
To illustrate the discussion, examples will be given only for the simplestcases of combinations of two different dielectrics. The dielectric constantmethod was chosen for illustration because it was thought to demonstrate mostgraphically the point in question.
According to Argue and Maass, the resultant dielectric constant of acombination of two different dielectrics depends on the orientation of thedielectrics in the electric field of the test condenser used to measure thedielectric constant. One case involves alternate slabs of dielectrics E1 and E2perpendicular to the electric field of the test condenser, as shown in Fig.1A.
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