Relationship between low-frequency electrical properties and hydraulic permeability of low-permeability sandstones

Geophysics - Tập 75 Số 3 - Trang E131-E141 - 2010
Norbert Zisser1,2, Andreas Kemna1,2, G. Nover1,2
1University of Bonn, Department of Geodynamics and Geophysics, Bonn, Germany. .
2University of Bonn, Section HPHT/Petrophysics, Bonn, Germany. .

Tóm tắt

The relationship between low-frequency electrical properties and hydraulic permeability of rocks has been the focus of geophysical investigations for a long time because it offers a possibility for an in situ and noninvasive permeability estimation of rocks. We examined the hydraulic and low-frequency [Formula: see text] electrical properties as well as the anisotropic properties of low-permeability sandstones from a tight gas reservoir. Single-frequency electrical properties were found to be of low value for the determination of permeability for the studied samples, whereas a strong link between the spectral-induced polarization (SIP) response and permeability was found. The SIP response was transformed into a relaxation-time distribution using a Debye decomposition procedure. We observed a strong positive correlation in form of a power law between median relaxation time of the distribution and permeability, suggesting that relaxation time is a good measure of the effective hydraulic length scale. From a comparison of our results with published relationships between relaxation time and permeability, it becomes evident that the corresponding function is formation specific, requiring a separate calibration for each formation. Nevertheless, SIP offers a high potential for in situ permeability determination because estimation of permeability from relaxation time seems to be applicable for very different lithologies.

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Tài liệu tham khảo

Archie G. E., 1942, Transactions of the American Institute of Mining and Metallurgical Engineers, 146, 54

10.1063/1.858194

10.1016/0016-7142(75)90025-3

10.1029/94JB02986

10.1029/95GL01418

10.1029/2005WR004202

Börner F. D., 1991, Log Analyst, 32, 612

10.1007/BF00682716

10.1111/j.1365-2478.1996.tb00167.x

10.1021/ja01269a023

10.3997/1873-0604.2009028

10.1046/j.1365-246x.1999.00799.x

10.1190/1.2976115

10.1063/1.1750906

Debye, P., 1929, Polar molecules: Chemical Catalog Co.

10.1016/S0022-1694(00)00256-0

10.1190/1.1451673

10.1029/2007WR006114

10.1016/j.jappgeo.2006.08.001

10.1103/PhysRevLett.57.2564

10.1103/PhysRevB.34.8179

10.1190/1.1649379

Kemna, A., H.M. Münch, K. Titov, E. Zimmermann, and H. Vereecken, 2005, Relation of SIP relaxation time of sands to salinity, grain size and hydraulic conductivity: Extended Abstracts: Near Surface 2005 — 11th European Meeting of Environmental and Engineering Geophysics, P054.

10.1190/1.1441310

10.1103/PhysRevB.45.186

Lawson, C. L. , and R. J. Hanson, 1974, Solving least squares problems: Prentice-Hall.

10.1016/j.jcis.2007.12.031

10.1007/1-4020-3102-5_4

10.1029/2000JB900392

10.1029/2000JB900402

10.1190/1.1438659

10.1103/PhysRevB.46.6080

10.1063/1.466932

10.1190/1.2987412

10.1190/1.1441880

10.1111/j.1365-2478.1985.tb00424.x

10.1190/1.1440839

Pettijohn, F. J. , P. E. Potter, and R. Siever, 1987, Sand and sandstones: Springer.

10.1190/1.1451647

10.1016/j.jcis.2006.06.051

10.1029/98WR02700

Rink, M., and J. R. Schopper, 1974, Interface conductivity and its implication to electric logging: Transactions of the 15th Annual Logging Symposium, 1–15.

Scheidegger, A. E. , 1974, The physics of flow through porous media: University of Toronto Press.

10.1021/j100818a067

10.1029/2003GL016951

10.1007/s10712-007-9022-y

10.1190/1.1620628

10.1190/1.2187707

10.1029/2001WR001075

10.1190/1.1451353

Sturrock, J. T. , D. Lesmes, and F. D. Morgan, 1999, Permeability estimation using spectral induced polarization measurements: Proceedings of the Symposium on the Application of Geophysics to Engineering and Environmental Problems, Environmental and Engineering Geophysical Society, 409–415.

10.1190/1.1442804

10.1111/j.1365-246X.2007.03376.x

Tiab, D., and E. C. Donaldson, 1996, Petrophysics: Theory and practice of measuring reservoir rock and fluid transport properties: Gulf Publishing Company.

10.1016/S0926-9851(02)00168-4

10.1190/1.2195989

10.1111/j.1365-2478.2006.00568.x

10.1190/1.1759462

10.1046/j.1365-2478.1997.00338.x

10.1190/1.1441755

10.1029/JB089iB11p09425

10.1007/BF00766702

10.1029/2000GL011553

10.1190/1.3113986

10.1016/0264-8172(84)90117-X

10.1088/0957-0233/19/10/105603

10.1016/j.jappgeo.2009.02.010