Summary
The wide range of velocities associated with earth materials makes it difficult to relate such data to specific lithologies. A review of geologic parameters shows that depth, lithology and age are not as specifically related to velocities as are the physical parameters of density, elastic constants, pressure, temperature and porosity. The Nafe and Drake curves relating velocity to density and porosity are seen as the most effective theoretical—empirical equations in the present literature.
Although conventional resistivity data has often been related to lithology, depth and age, its dependence on porosity is quantitatively more significant. Resistivity is related to porosity through Archie’s law; however, several other variations of this relation now are available in the literature. Log analysts, for example, often prefer working with the formation factor (the ratio of bulk resistivity to fluid resistivity) when studying porosity.
Equations relating velocity and resistivity to porosity form a basis for representing transit times in terms of apparent resistivity (Kim’s scale function). Application of this predictive relation is highly successful in generating pseudovelocity logs from readily available resistivity log data.
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Rudman, A.J. (1982). Interrelationship of Resistivity and Velocity Logs. In: Fitch, A.A. (eds) Developments in Geophysical Exploration Methods—3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7349-7_2
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DOI: https://doi.org/10.1007/978-94-009-7349-7_2
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