Robert C. Ransom
What are Archie’s Basic Relationships
What is Meant by the Plot of Rt versus Swtϕt
Parallel Resistivity Equations Used in Resistivity Interpretation
What is the Formation Resistivity Factor
Table of Retrievable Contents:
CONCLUSIONS
The concept described herein is based on the very fundamental conversion of water resistivity - to water resistance - to rock resistivity, and the efficiency of the network of pores and pathways in the rock through which the electrical-survey current must flow. The basic electrical resistance equation is the key to understanding the Formation Resistivity Factor. Archie’s fundamental saturation relationship, but extended, has been derived from the trigonometrics of the model and corroborating algebraics.
Archie’s relationships, as the parameters have been defined in this model, have been extended to meaningful application in dirty rocks (shaly sands) and other rocks of limited heterogeneity. The model and the foregoing developments in this paper have shown that Archie’s relationships have a straightforward, physical and mathematical basis, and, in this concept, have been shown to apply to heterogeneous rocks with uniform distributions of porosity, saturations, and electrically-conductive constituents.
Archie’s relationships are fundamental and the foregoing developments were deemed necessary for the relationships to be understood, used in literature, and employed in saturation calculations. An understanding of what influences these parameters and what they represent will provide the user with a place to start and a recognition of what is required from other disciplines for the solution of interpretation problems, and will complement the user’s inventory of tools for describing rocks as they reside in nature.
A CLARIFYING CONCEPT OF ARCHIE'S RESISTIVITY RELATIONSHIPS AND PARAMETERS.
A MODEL AND DISCUSSION
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