Use of digital image analysis to estimate fluid permeability of porous materials: Application of two-point correlation functions

Journal of Applied Physics - Tập 60 Số 6 - Trang 1930-1938 - 1986
James G. Berryman1, Stephen C. Blair1
1Lawrence Livermore National Laboratory, University of California, P.O. Box 808 L-156, Livermore, California 94550

Tóm tắt

Scanning electron microscope images of cross sections of several porous specimens have been digitized and analyzed using image processing techniques. The porosity and specific surface area may be estimated directly from measured two-point spatial correlation functions. The measured values of porosity and image specific surface were combined with known values of electrical formation factors to estimate fluid permeability using one version of the Kozeny-Carman empirical relation. For glass bead samples with measured permeability values in the range of a few darcies, our estimates agree well (±10–20%) with the measurements. For samples of Ironton-Galesville sandstone with a permeability in the range of hundreds of millidarcies, our best results agree with the laboratory measurements again within about 20%. For Berea sandstone with still lower permeability (tens of millidarcies), our predictions from the images agree within 10–30%. Best results for the sandstones were obtained by using the porosities obtained at magnifications of about 100× (since less resolution and better statistics are required) and the image specific surface obtained at magnifications of about 500× (since greater resolution is required).

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Tài liệu tham khảo

1947, Appl. Sci. Res. A, 1, 27

1956, Trans. AIME, 207, 144, 10.2118/574-G

1956, Trans. AIME, 207, 160

1956, Trans. AIME, 207, 164

1961, Phys. Fluids, 4, 1477, 10.1063/1.1706246

1962, Phys. Fluids, 5, 1390, 10.1063/1.1706534

1970, Phys. Fluids, 13, 2958, 10.1063/1.1692887

1984, J. Geophys. Res., 89, 9425, 10.1029/JB089iB11p09425

1985, Phys. Fluids, 28, 1015, 10.1063/1.865021

1984, Phys. Rev. B, 30, 6606, 10.1103/PhysRevB.30.6606

1984, J. Appl. Phys., 56, 3127, 10.1063/1.333872

1986, J. Geophys. Res., 91, 2173, 10.1029/JB091iB02p02173

1985, J. Chem. Phys., 83, 754, 10.1063/1.449489

1974, J. Appl. Phys., 45, 3159, 10.1063/1.1663741

1985, J. Appl. Phys., 57, 2374, 10.1063/1.334346

1957, J. Appl. Phys., 28, 679, 10.1063/1.1722830

1983, J. Comput. Phys., 52, 142, 10.1016/0021-9991(83)90021-9

1985, J. Chem. Phys., 82, 980, 10.1063/1.448475

1983, Mech. Mater., 2, 345, 10.1016/0167-6636(83)90025-X

1985, Geophysics, 50, 775, 10.1190/1.1441952

1963, J. Mech. Phys. Solids, 11, 127, 10.1016/0022-5096(63)90060-7

1983, Phys. Rev. B, 27, 7789, 10.1103/PhysRevB.27.7789