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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References
ACHESON, C. H. (1963). Time-depth and velocity-depth relations in western Canada, Geophysics, 28, 894–909.
AL-CHALABI, M. (1979). Velocity determination from seismic reflection data, in Developments in Geophysical Exploration Methods—1, Ed. A. A. Fitch. Applied Science Publishers, London, pp. 1–68.
ARCHIE, G. E. (1942). The electrical resistivity log as an aid in determining some reservoir characteristics, AIME Trans. (Petroleum Development and Technology), 146, 54–62.
BIRCH, F. (1961). The velocity of compressional waves in rocks to 10 kilobars, Part 2, J. Geophys. Res., 66, 2199–224.
BIRCH, F. (1964). Density and composition of mantle and core, J. Geophys. Res., 69, 4377–88.
BOYCE, R. E. (1968). Electrical resistivity of modern marine sediments from the Bering Sea, J. Geophys. Res., 73, 4759.
BOYCE, R. E. (1976). Sound velocity-density parameters of sediments and rock from DSDP drill sites 315–318 on the Line Island Chain, Manihiki Plateau, and Tuamotu Ridge in the Pacific Ocean, Initial Reports of the Deep Sea Drilling Project, 33, 695–728.
BOYCE, R. E. (1980). Determination of the relationships of electrical resistivity, sound velocity, and density/porosity of sediments and rock by laboratory techniques and well logs from deep sea drilling project sites 415 and 416 off the coast of Morocco, Initial Reports of the Deep Sea Drilling Project, 50, 305–18.
DA VIES, D. (1965). Dispersed Stoneley waves on the ocean bottom, Bull. Seism. Soc. Am., 55, 903–18.
DELAPLANCHE, J., HAGEMANN, R. F. and BOLLARD, P. G. C. (1963). An example of the use of synthetic seismograms, Geophysics, 28, 842–54.
FAUST, L. Y. (1951). Seismic velocity as a function of depth and geologic time, Geophysics, 16, 192–206.
FAUST, L. Y. (1953). A velocity function including lithologic variations, Geophysics, 18, 271–88.
GARDNER, G. H. F., GARDNER, L. W. and GREGORY, A. R. (1974). Formation velocity and density—the diagnostic basics for stratigraphic traps, Geophysics, 39, 770–80.
GASSMAN, F. (1951). Elastic waves through a packing of spheres, Geophysics, 16, 673–85.
GREENBERG, R. J. and BRACE, W. F. (1969). Archie’s law for rocks modelled by simple networks, J. Geophys. Res., 74, 2099–102.
GUYOD, H. and PRANGLIN, A. J. (1961). Now get true resistivities from conventional electric logs, Oil and Gas J., 59 (24), 113–18.
HAMILTON, E. L. (1978). Sound velocity-density relations in sea floor sediments and rocks, J. Acoustic Soc. Am., 63, 366–77.
HAMILTON, E. L. (1980). Geoacoustic modelling of the sea floor, J. Acoustic Soc. Am., 68, 1313–40.
KELLER, G. V. (1966). Electrical properties of rocks and minerals, in Handbook of Physical Constants, Ed. S. P. Clark, GSA Mem. 97, p. 553–77.
KELLER, G. V. and FRISCHKNECHT, F. C. (1966). Electrical Methods in Geophysical Prospecting. Pergamon Press, Oxford, 519 p.
KENNETT, P. (1979). Well geophone surveys and the calibration of acoustic velocity logs, in Developments in Geophysical Exploration Methods—1, Ed. A. A. Fitch. Applied Science Publishers, London, pp. 93–114.
KERMABON, A., GEHIN, C. and BLAVIER, P. (1969). A deep-sea electrical resistivity probe for measuring porosity and density of unconsolidated sediments, Geophysics, 34, 554.
KIM, D. Y. (1964). Synthetic velocity log. Paper presented at 33rd Annual Intern. SEG Meeting, New Orleans.
LUDWIG, W. E., NAFE, J. E. and DRAKE, C. L. (1970). Seismic refraction, in The Sea, Vol. 4, Ed. A. E. Maxwell. Wiley-Interscience, New York, pp. 53–84.
MAXWELL, J. C. (1904). Electricity and Magnetism, Vol. 1, 3rd edn. Clarendon Press, Oxford.
MERKEL, R. H. (1981). Well log formation evaluation, in Continuing Education Course Note Series No. 14, publication of the AAPG Education Dept., 82 p.
NAFE, J. E. and DRAKE, C. L. (1957). Variations with depth in shallow and deep water marine sediments of porosity, density and the velocities of compressional and shear waves, Geophysics, 22, 523–52.
NAFE, J. E. and DRAKE, C. L. (1963). Physical properties of marine sediments, in The Sea, Vol. 3, Ed. N. M. Hill. Interscience, New York, pp. 794–815.
NOWAK, I. R. (1978). Pseudovelocity applications in the Carnarvon Basin, Ann. Rept Geol. Survey W. Australia, pp. 75–9.
PRESS, F. (1966). Seismic velocities, in Handbook of Physical Constants, Ed. S. P. Clark, GSA Mem. 97, p. 195–218.
RUDMAN, A. J., WHALEY, J. F., BLAKELY, R. F. and BIGGS, M. E. (1975). Transformation of resistivity to pseudovelocity logs, AAPG Bull., 59, 1151–65.
RUDMAN, A. J., WHALEY, J. F., BLAKELY, R. F. and BIGGS, M. E. (1976). Geologic note: Transformation of resistivity to pseudovelocity logs, AAPG Bull., 60, 879- 82.
WEATHERBY, B. B. and FAUST, L. Y. (1935). Influence of geological factors on longitudinal seismic velocities, AAPG Bull, 19, 1–18.
WINSAUER, W. O. et al. (1952). Resistivity of brine-saturated sands in relation to pore geometry, Am. Assoc. Petrol Geol Bull, 36, 253.
WOOD, A. B. (1941). A Textbook of Sound. Macmillan, New York.
WOOLLARD, G. P. (1959). Crustal structure from gravity and seismic measurements, J. Geophys. Res., 64, 1521–44.
WORK, P. L. and MEADOW, H. M. (1974). Digitize well logs in Morrow sand exploration, Oil and Gas J., 72 (7), 61–3.
WYLLIE, M. R. J., GREGORY, H. R. and GARDNER, L. W. (1956). Elastic waves in heterogeneous and porous media, Geophysics, 21, 41–70.
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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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