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Hydrostatic pressure tests for the permeability - formation factor relation on crystalline rocks from the KTB drilling project

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Abstract

Transport properties (permeability and electrical conductivity) have been measured at different hydrostatic pressure runs on 7 crystalline rocks (gneisses and amphibolites) sampled from the KTB drilling project. The decrease of permeability by pressure are compared with the pressure-dependent data of the electrical conductivity (formation factor) resulting from complex impedance measurements. According to the equivalent-channel model (ECM), there exists a linear relationship between these parameters by representing both properties on logarithmic scales. The results show that it is possible to extrapolate high-pressure permeability from low-pressure (< 60 MPa) permeability data by using the pressure-dependent electrical conductivity (up to 300 MPa).

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References

  • Banavar, J. R. and Schwartz, L. M.: 1987, ‘Magnetic Resonance as a Probe of Permeability in Porous Media’,Phys. Rev. Lett. 58(14), 1411–1414.

    Google Scholar 

  • Bernabé, Y.: 1986, ‘Pore Volume and Transport Properties Changes During Pressure Cycling of Several Crystalline Rocks’,Mechanics of Materials 5, 235–249.

    Google Scholar 

  • Bernabé, Y.: 1987, ‘A Wide Range Permeameter for Use in Rock Physics’,Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 24(5), 309–315.

    Google Scholar 

  • Bernabé, Y.: 1988, ‘Comparison of the Effective Pressure Law for Permeability and Resistivity Formation Factor in Chelmsford Granit’,PAGEOPH 127, 607–625.

    Google Scholar 

  • Bernabé, Y.: 1991, ‘Pore Geometry and Pressure Dependence of Transport Properties in Sandstones’,Geophysics 56, 436–446.

    Google Scholar 

  • Börner, F.: 1991,Untersuchungen zur komplexen elektrischen Leitfähigkeit von Gesteinen im Frequenzbereich von 1 Millihertz bis 10 Kilohertz Ph.D. thesis, Bergakademie Freiberg, Germany, 127 pp.

    Google Scholar 

  • Brace, W. F.: 1980, ‘Permeability of Crystalline and Argillaceous Rocks’,Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 17, 241–251.

    Google Scholar 

  • Brace, W. F., Walsh, J. B. and Frangos, W. T.: 1968, ‘Permeability of Granite Under High Pressure’,J. Geophys. Res. 73, 2225–2236.

    Google Scholar 

  • Bremer, M., Kulenkampff, J. and Schopper, J. R.: 1992, ‘An Attempt of Deterministic Interpretation of KTB-Oberpfalz-VB Standard Logs’,Scient. Drill. 3, 6–15.

    Google Scholar 

  • Clauser, C.: 1992, ‘Permeability of Crystalline Rocks’,EOS 73, 233.

    Google Scholar 

  • David, C.: 1991,La Perméabilité et la Conductivité Électriques des Roches dans la Croûte: Expériences en Laboratoire et Modèles Théoriques, Ph.D. thesis, Univ. Strasbourg, France.

    Google Scholar 

  • David, C. and Darot, M.: 1989, ‘Permeability and conductivity of sandstones’, in Maury, V., Fourmaintraux, D. and Maury, V. (eds.),Proc. Symp. “Rock at Great Depth”, Rotterdam, The Netherlands, pp. 203–209.

    Google Scholar 

  • David, C., Gueguen, Y. and Pampoukis, G.: 1990, ‘Effective Medium Theory and Network Theory Applied to the Transport Properties of Rock’,J. Geophys. Res. 95(B5), 6993–7005.

    Google Scholar 

  • Doussal, P.: 1989, ‘Permeability Versus Conductivity for Porous Media with Wide Distribution of Pore Sizes’,Phys. Rev. B 39(7), 4813–4819.

    Google Scholar 

  • Doyen, P. M.: 1988, ‘Permeability, Conductivity, and Pore Geometry of Sandstone’,J. Geophys. Res. 93(B7), 7729–7740.

    Google Scholar 

  • Duba, A., Piwinskii, A. J., Santor, M. and Weed, H. C.: 1978, ‘The Electrical Conductivity of Sandstone, Limestone, and Granite’,Geophys. J. R. Astr. Soc. 53, 583–597.

    Google Scholar 

  • Freund, D.: 1990,Indirekte Messung der Permeabilität geringporöser Sedimente unter Druck Report FHD, Potsdam 1990, 51 pp.

    Google Scholar 

  • Goode, P. A. and Sen, P. N.: 1988, ‘Charge Density and Permeability in Clay-Bearing Sandstones’,Geophysics 53, 1610–1612.

    Google Scholar 

  • Gueguen, Y., and Dienes, J.: 1989, ‘Transport Properties of Rocks from Statistics and Percolation’,Mathem. Geol. 21(1), 1–13.

    Google Scholar 

  • Huenges, E.: 1987,Messung der Permeabilität von niedrigpermeablen Gesteinsproben unter Drücken bis 4 kbar und ihre Beziehung zu Kompressibilität, Porosität und komplexen elektrischem Widerstand Ph.D. thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany.

    Google Scholar 

  • Johnson, D. L., Koplik, J. and Schwartz, L. M.: 1986, ‘New Pore-Size Parameter Characterizing Transport in Porous Media’,Phys. Rev. Lett. 57, 2564–2567.

    Google Scholar 

  • Johnson, D. L. and Sen, P. N.: 1988, ‘Dependence of the Conductivity of a Porous Medium on Electrolyte Conductivity’,Phys. Rev. B 33, 3502–3510.

    Google Scholar 

  • Katsube, T. J. and Hume, J. P.: 1987, ‘Permeability Determination in Crystalline Rocks by Standard Geophysical Logs’,Geophysics 52, 342–352.

    Google Scholar 

  • Katsube, T. J. and Mareschal, M.: 1993, ‘Petrophysical Model of Deep Electrical Conductors: Graphite Lining as a Source and Its Disconnection Due to Uplift’,J. Geophys. Res. 98(B5), 8019–8030.

    Google Scholar 

  • Katz, A. J. and Thompson, A. H.: 1986, ‘Quantitative Prediction of Permeability in Porous Rock,Phys. Rev. B 34, 8179–8181.

    Google Scholar 

  • Koplik, J., Lin, C. and Vermette. M.: 1984, ‘Conductivity and Permeability from Microgeometry’,J. Appl. Phys. 56, 3127–3131.

    Google Scholar 

  • Lin, W.: 1982, ‘Parametric Analysis of the Transient Method of Measuring Permeability’,J. Geophys. Res. 87, 1055–1060.

    Google Scholar 

  • Lin, W., Pirie, G. and Trimmer, D. A.: 1986, ‘Low Permeability Rocks: Laboratory Measurements and Threedimensional Microstructural Analysis’,J. Geophys. Res. 91(B2), 2173–2181.

    Google Scholar 

  • Lockner, D. A. and Byerlee, J. D.: 1985, ‘Complex Resistivity Measurements of Confined Rock’,J. Geophys. Res. 90, 7837–7847.

    Google Scholar 

  • 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’,Scient. Drill. 2, 90–100.

    Google Scholar 

  • Paterson, M. S.: 1983, ‘The Equivalent Channel Model for Permeability and Resistivity in Fluid-Saturated Rock - A Re-appraisal’,Mechanics of Materials 2, 345–352.

    Google Scholar 

  • Pape, H., Riepe, L. and Schopper, J. R.: 1981,Calculating Permeability from Surface Area Measurements, 7th Eur. Logg. Symp. Trans. Paris.

    Google Scholar 

  • Pape, H., Riepe, L. and Schopper, J. R.: 1982, ‘A Pigeon-Hole Model for Relating Permeability to Specific Surface’,Log Analyst 23, 5–13.

    Google Scholar 

  • Pape, H., Riepe, L. and Schopper, J. R.: 1985,Permeability from Porous Rocks Derived from Internal Surface, 47th EAEG-Meeting Budapest.

  • Pape, H., Riepe, L. and Schopper, J. R.: 1987, ‘Interlayer Conductivity of Rocks - A Fractal Model of Interface Irregularities for Calculating Interlayer Conductivity of Natural Porous Mineral Systems’,Colloids and Surfaces 27, 97–122.

    Google Scholar 

  • Pape, H. and Worthington, P. F.: 1983,A Surface-Structure Model for the Electrical Conductivity of Reservoir Rocks, 8th Europ. Formation Evaluation Symp. Trans, London, 19 pp.

    Google Scholar 

  • Pettijohn, F. J., Potter, P. E. and Siever, P.: 1972,Sand and Sandstone, Springer, Berlin-Heidelberg-New York.

    Google Scholar 

  • Romm, E. S.: 1985,Strukturnyje Modeli Porovo Prostranstva Gornykh Porod (in Russian). Nedra, Leningrad, 240 pp.

    Google Scholar 

  • Ruffet, C., Gueguen, Y. and Darot, M.: 1991, ‘Complex Conductivity Measurements and Fractal Nature of Porosity’,Geophysics 56(6), 265–275.

    Google Scholar 

  • Ruffet, C.: 1993,La Conductivité Électrique Complexe dans Quelques Roches Crustales Ph.D. thesis. Universite Louis Pasteur, Strasbourg, France, 237 pp.

    Google Scholar 

  • Schopper, J. R.: 1966, ‘A Theoretical Investigation on the Formation Factor/Permeability/Porosity Relationship using a Network Model’,Geophys. Prospect. 14(3), 301–341.

    Google Scholar 

  • Schopper, J. R.: 1982, ‘Physical Properties of Rocks’, in Landoldt-Börnstein (ed.),New Series V/1, Subvolume b, Springer, Berlin-Heidelberg-New York, 276–291.

    Google Scholar 

  • Sen, P. N., Goode, P. A. and Sibbit, A.: 1988, ‘Electrical Conduction in Clay-Bearing Sandstones at Low and High Salinities’,J. Appl. Phys. 63, 4832–4840.

    Google Scholar 

  • Sen, P. N., Straley, C., Kenyon, W. E. and Wittingham, M. S.: 1990, ‘Surface-to-Volume Ratio, Charge Density, Nuclear Magnetic Relaxation, and Permeability in Clay-Bearing Sandstones’,Geophysics 55(1), 61–69.

    Google Scholar 

  • Siegesmund, S., Vollbrecht, A., Chlupac, T., Nover, G., Dürrast, H., Müller, J. and Weber, K.: 1993, ‘Fabric-Controlled Anisotropy of Petrophysical Properties Observed in KTB Core Samples’,Scient. Drill. 4, 31–54.

    Google Scholar 

  • Thompson, A. H., Katz, A. J. and Krohn, C. E.: 1987, ‘The Microgeometry and Transport Properties of Sedimentary Rock’,Advances in Physics 36(5), 625–694.

    Google Scholar 

  • Trimmer, D., Bonner, B., Heard, H. C. and Duba, A.: 1980, ‘Effect of Pressure and Stress on Water Transport in Intact and Fracturated Gabbro and Granite’,J. Geophys. Res. 85(B12), 7059–7071.

    Google Scholar 

  • Trimmer, D.: 1981, ‘Design Criteria for Laboratory Measurements of Low Permeability Rocks’,Geophys. Res. Lett. 8, 973–975.

    Google Scholar 

  • Trimmer, D.: 1982, ‘Laboratory Measurements of Ultralow Permeability of Geological Materials’,Rev. Sci. Instrum. 53(8), 1246–1254.

    Google Scholar 

  • Vinegar, H. J. and Waxman, M. H.: 1984, ‘Induced Polarisation of Shaly Sands’,Geophysics 45, 1267–1287.

    Google Scholar 

  • Walsh, J. B. and Brace, W. F.: 1984, ‘The Effect of Pressure on Porosity and the Transport Properties of Rock’,J. Geophys. Res. 89, 9425–9431.

    Google Scholar 

  • Waxman, M. H. and Smits, L. J. M.: 1968, ‘Electrical Conductivities in Oil-Bearing Shaly Sands’,J. Soc. Petr. Eng. 243, 107–122.

    Google Scholar 

  • 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(B2), 173–182.

    Google Scholar 

  • Wong, P., Koplik, J. and Tomanic, J. P.: 1984, ‘Conductivity and Permeability of Rocks’,Phys. Rev. B 30(11), 6606–6614.

    Google Scholar 

  • Worthington, P. F.: 1975, ‘Quantitative Geophysical Investigation of Granular Aquifers’,Geophys. Surv. 2, 313–366.

    Google Scholar 

  • Wyllie, M. R. J. and Rose, W. D.: 1950, ‘Some Theoretical Considerations Related to the Quantitative Evaluation of the Physical Characteristics of Reservoir Rock from Electrical Log Data’,Trans. Am. Inst. Mech. Eng. 189, 105–118.

    Google Scholar 

  • Yamada, S. E. and Jones, A. H.: 1980, ‘A Review of a Pulse Technique for Permeability Measurements’,SPEJ 20, 357–358.

    Google Scholar 

  • Zoback, M. D. and Byerlee, J. D.: 1975, ‘Permeability and Effective Stress’,Am. Ass. Petrol. Geologists Bull. 59, 154–158.

    Google Scholar 

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Authors and Affiliations

  1. GeoForschungsZentrum Potsdam, Potsdam, Germany

    Dieter Freund

  2. Mineralogisches Institut, Universität Bonn, Bonn, Germany

    Georg Nover

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  1. Dieter Freund
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Freund, D., Nover, G. Hydrostatic pressure tests for the permeability - formation factor relation on crystalline rocks from the KTB drilling project. Surv Geophys 16, 47–62 (1995). https://doi.org/10.1007/BF00682712

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