Abstract
The frequency dependence of complex electrical conductivity in the IP frequency range (10−3 to 103 Hertz) has been investigated for a variety of microcracked rocks from the German continental deep drilling project (KTB), Northern Bavaria. The laboratory measurements were made with a computer controlled four-electrode system on plugs saturated with brine of different salinity. It has been found that the complex nature of the conductivity is caused solely by the capacitive behaviour of the interlayer region between the solid matrix and the electrolytic pore solution. The resulting main feature of the conductivity spectra is a constant phase angle over the investigated frequency range combined with a nearly identical power law frequency dependence of the real as well as the imaginary parts. The low-frequency exponent is in the order of about 0 to 0.05. It is related to common IP-parameters. The relationships between the frequency exponent and microcrack properties are of special interest. The results of the study show that the frequency exponent is (1) proportional to the surface area to porosity ratio, (2) inversely proportional to water salinity, and (3) dependent on water composition. Complex conductivity measurements allow an uncomplicated separation of electrical volume and interface effects. Moreover, the results suggest that determination of specific surface area of microcracked rocks directly from complex electrical measurements can be made.
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References
Archie, G. E.: 1942, ‘The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics’,Transactions of the American Institute of Mining, Metallurgical and Petroleum Engineers 146, 54–62.
Börner, F.: 1991,Untersuchungen zur komplexen elektrischen Leitfähigkeit von Gesteinen im Frequenzbereich von 1 mHz bis 10 kHz, Dr.-Thesis, Mining Academy Freiberg, Germany.
Börner, F.: 1992, ‘Complex Conductivity Measurements of Reservoir Properties’,Proc. of the SCA Third Europ. Core Analysis Symposium, Paris, pp. 359–386.
Börner, F., Gruhne, M. and Schön, J.: 1993, ‘Contamination Indications Derived from Electrical Properties in the Low Frequency Range’,Geophysical Prospecting 41, 83–98.
Börner, F., Jung, F. and Schön, J.: 1991, ‘Complex Electrical Conductivity of KTB Samples in the Frequency Range Between 10−3 and 104 Hz - First Results’,Scientific Drilling 2, 101–104.
Börner, F. D. and Schön, J. H.: 1991, ‘A Relation Between the Quadrature Component of Electrical Conductivity and the Specific Surface Area of Sedimentary Rocks’,The Log Analyst 32, 612–613.
Börner, F. D. and Kulenkampff, J.: 1992, ‘The Dispersion of the Complex Electrical Conductivity between 0.001 Hz and 1 MHz’, inProceedings of the 52nd Annual Meeting of the German Geophysical Society (Leipzig, 1992), p. 164.
Clavier, C., Coates, G. and Dumanoir, J.: 1977, ‘Theoretical and Experimental Basis for the “Dual Water” Model for Interpretation of Shaly Sands’, inProceedings of the 52nd Annual Technical Conference and Exhibition of the Society of Petroleum Engineers (Denver, 1977), paper SPE 6859.
Dissado, L. and Hill, R. M.: 1984, ‘Anomalous Low Frequency Dispersion’,J. Chem. Soc. Faraday Trans. 80, 291–319.
Engelhardt, W. v.: 1960,Der Porenraum der Sedimente, 1st edn, Berlin, Göttingen, Heidelberg: Springer Publishers.
Jonscher, A. K.: 1981, ‘A New Understanding of the Dielectric Relaxation of Solids’,Journal of Material Sciences 16, 2037–2060.
Jung, F. and Börner, F.: 1992, ‘Induzierte Polarisation mikroklüftiger Gesteine’,Summary 52. Jahrestagung der DGG, Leipzig, p. 262.
Kulenkampff, J., Börner, F. and Schopper, J. R.: 1993, ‘Broad Band Complex Conductivity Laboratory Measurements Enhancing the Evaluation of Reservoir Properties’,Trans. of the 15th Europ. Form. Evaluation Symp., Stavanger, Paper A.
Kulenkampff, J. and Schopper, J. R.: 1988, ‘Low Frequency Complex Conductivity - A Means for Separating Volume and Interlayer Conductivity’, inTransactions of the 12th European Formation Evaluation Symposium (Oslo, 1988).
Lockner, D. A. and Byerlee, J. D.: 1985, ‘Complex Resistivity Measurements of Confined Rock’,Journal of Geophysical Research 90, 7837–7847.
Nover, G. and Will, G.: 1991, ‘Laboratory Measurements on KTB Core Samples: Complex Resistivity, Zeta Potential, Permeability and Density as a Tool for Detection of Flow Phenomena’,Scientific Drilling 2, 90–100.
Olhoeft, G. R.: 1979, ‘Electrical Properties. Initial Reports on the Petrophysics Laboratory’,U.S. Geological Survey Circular 789, 1–26.
Olhoeft, G. R.: 1981,Journal Geophysical Research 86, 931–936.
Olhoeft, G. R.: 1985, ‘Low Frequency Electrical Properties’,Geophysics 50, 2492–2503.
Pape, H., Riepe, L. and Schopper, J. R.: 1981, ‘Calculating Permeability from Surface Area Measurements’,Trans. 7th Europ. Form. Evaluation Symposium, Paris.
Pape, H., Riepe, L. and Schopper, J. R.: 1987, ‘Theory of Self-Similar Network Structures in Sedimentary and Igneous Rocks and Their Investigation with Microscopical and Physical Methods’,Journal of Microscopy 148, 121–147.
Parasnis, D. S.: 1966,Mining Geophysics Elsevier Publishers, Amsterdam, New York.
Riepe, L., Rink, M. and Schopper, J. R.: 1979, ‘Relations between Specific Surface Dependent Rock Properties’, inTransactions of the 6th European Logging Symposium (London, 1979).
Rink, M. and Schopper, J. R.: 1974, ‘Interface Conductivity and Its Implication to Electric Logging’, inTransactions of the 15th Annual Logginf Symposium (London, 1974).
Ruffet, C., Gueguen, Y. and Darot, M.: 1991, ‘Complex Conductivity Measurements and Fractal Nature of Porosity’,Geophysics 56, 758–768.
Schön, J.: 1983,Petrophysik, 1st. edn. Akademie-Publishers, Berlin.
Schön, J.: 1990, ‘Petrophysikalische Modelle und ihre Anwendung bei der Interpretation geophysikalisch meßbarer Größen’, in: Dresen, L., Fertig, J., Rüter, H. and Budach, W. (eds.),Modelle und Modellverfahren in der angewandten Geophysik. Referate 10 Mintrop-seminar, Kassel, pp. 149–188.
Stenson, J. D. and Sharma, M. M.: 1989, ‘A Petrophysical Model for Shaly Sands’, inProceedings of the 64th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers (San Antonio, 1989), paper SPE 19574.
Vinegar, H. J. and Waxman, M. H.: 1984, ‘Induced Polarization of Shaly Sands’,Geophysics 49, 1267–1287.
Vogelsang, D., Grinat, M. and Pape, H.: 1992, ‘Logging of Induced Polarization in the KTB-Oberpfalz-VB interpreted by a fractal model’,Scientific Drilling 3, 105–114.
Waxman, M. H. and Smits, L. J. M.: 1968, ‘Electrical Conductivities in Oil-Bearing Shaly Sands’,Society of Petroleum Engineers Journal 243, 107–122.
Wiley, R. and Snoody, M. L.: 1986, ‘Complex Resistivity of Shaly Sands and Minerals’,The Log Analyst 27, 45–49.
Will, G. and Nover, G.: 1986, ‘Measurements of the Frequency Dependence of the Electrical Conductivity and Some Other Petrophysical Parameters of Core Samples from the Konzen (West Germany) Drill Hole’,Annales Geophysicae 4, 173–183.
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Börner, F.D., Schön, J.H. Low frequency complex conductivity measurements of microcrack properties. Surv Geophys 16, 121–135 (1995). https://doi.org/10.1007/BF00682716
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DOI: https://doi.org/10.1007/BF00682716