Отправлено: 18.07.08 03:41. Заголовок: Библиография из статьи: Hydrostatic pressure tests for the permeability - formation factor relation

Hydrostatic pressure tests for the permeability - formation factor relation on crystalline rocks from the KTB drilling project
Surveys in Geophysics Springer Netherlands
ISSN 0169-3298 (Print) 1573-0956 (Online)
Volume 16, Number 1 / Январь 1995 г.
Страницы 47-62

Dieter Freund1 and Georg Nover2

(1) GeoForschungsZentrum Potsdam, Potsdam, Germany
(2) Mineralogisches Institut, Universität Bonn, Bonn, Germany

Received: 23 September 1993

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).
Key words Crystalline rocks - equivalent channel model - hydrostatic pressure - permeability - resistivity formation factor


--------------------------------------------------------------------------------


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.

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

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

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

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

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.

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

Brace, W. F., Walsh, J. B. and Frangos, W. T.: 1968, Permeability of Granite Under High Pressure,J. Geophys. Res. 73, 2225–2236.

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.

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

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.

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.

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.

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

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

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.

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

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

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

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.

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.

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.

Katsube, T. J. and Hume, J. P.: 1987, Permeability Determination in Crystalline Rocks by Standard Geophysical Logs,Geophysics 52, 342–352.

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.

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

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

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

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.

Lockner, D. A. and Byerlee, J. D.: 1985, Complex Resistivity Measurements of Confined Rock,J. Geophys. Res. 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,Scient. Drill. 2, 90–100.

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.

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

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

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.

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.

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

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

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

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

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

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.

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.

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.

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.

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.

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.

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

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

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

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.

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

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.

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

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

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.

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

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