Macroscopic Conductivity of Vugular Porous Media

A systematic numerical study of the macroscopic electrical conductivity σ of vugular porous media has been conducted by solving the Laplace equation. The structure of these bimodal media is characterized by the micro and macroporosities and by the micro and macro correlation lengths. The overall correlation function is analyzed. It is shown that σ mainly depends on the total porosity, and very little on the other parameters. Moreover, similar results are obtained when the microporous medium is considered as a continuum. Finally, these predictions are compared to experimental data for the formation factor and the thermal conductivity of limestones; the agreement is good in the first case, and excellent in the second.

[1]  R. Dawe,et al.  Pore Structure Influence on the Electrical Resistivity of Saturated Porous Media , 1994 .

[2]  Pierre M. Adler,et al.  Flow in simulated porous media , 1990 .

[3]  Pierre M. Adler,et al.  Real Porous Media: Local Geometry and Macroscopic Properties , 1998 .

[4]  Y. Yortsos,et al.  Use of pore network models to interpret laboratory experiments on vugular rocks , 1998 .

[5]  Pierre M. Adler,et al.  Computerized characterization of the geometry of real porous media: their discretization, analysis and interpretation , 1993 .

[6]  J. Thovert,et al.  Thermal conductivity of random media and regular fractals , 1990 .

[7]  F. Jerry Lucia,et al.  Carbonate Reservoir Characterization , 2002 .

[8]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[9]  E. Sanchez-Palencia.  Non-Homogeneous Media and Vibration Theory , 1980 .

[10]  Pierre M. Adler,et al.  Porous media : geometry and transports , 1992 .

[11]  J. R. Dixon,et al.  The Effect of Bimodal- Pore Size Distribution on Electrical Properties of Some Middle Eastern Limestones , 1990 .

[12]  Ioannis Chatzis,et al.  Electrical Conductivity and Percolation Aspects of Statistically Homogeneous Porous Media , 1997 .

[13]  Percolation in two-scale porous media , 2001 .

[14]  D. Munn,et al.  Cementation Exponents in Middle Eastern Carbonate Reservoirs , 1987 .

[15]  J. Poirier,et al.  Effet de la saturation eau-gaz sur les proprietes acoustiques des roches : Etude aux frequences sonores et ultrasonores , 1993 .

[16]  Formation factor of carbonate rocks with microporosity: model calculations , 1997 .