Morphology and physical properties of Fontainebleau sandstone via a tomographic analysis
نویسندگان
چکیده
We present • study of the morphology •nd bulk physical properties of • Fontainebleau s•ndstone vi• an X ray tomographic •nalysis. Synchrotron-b•sed X ray tomographic techniques provide us with a high-resolution (7.5 •um), threedimensional digitized representation of the sandstone that leaves the s•mple intact and unaltered. To estimate • wide spectrum of bulk properties of the Fontainebleau s•ndstone specimen, we extract from this image a number of different correlation functions that statistically characterize the pore-space morphology and relevant pore-space length and time scales. These statistical measures are obtainable from lineal, plane, •nd/or volume measurements and include the porosity, specific surface, two-point and three-point probability functions, lineal-path function, chord-length distribution function, pore-size distribution function, and coarseness. The poresize distribution function, in particular, contains • certain level of connectedness information •nd •ccordingly c•n only be obtained from • three-dimensional representation of the s•mple. M•ny bulk properties of the s•ndstone, such as the mean survival time r (obtainable from Nuclear Magnetic Resonance relaxation studies), fluid permeability k, effective electrical and thermal conductivities, and effective elastic moduli, c•n be estimated using the •forementioned statistical correlation functions. Specifically, the electrical conductivity (or, equivalently, the formation f•ctor F), mean survival time, and fluid permeability are determined using rigorous bounds. The mean survival time •nd fluid permeability •re also found using direct simulation techniques •nd cross-property relations, respectively. One such cross-property relation for k depending on r and F gives • permeability estimate that is within • factor of 2 of the experimental result.
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