Method of determining the components of an effective...

Data processing: measuring – calibrating – or testing – Measurement system in a specific environment – Chemical analysis

Reexamination Certificate

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Reexamination Certificate

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11001035

ABSTRACT:
The invention is a method of determining all the components of an absolute permeability tensor of a porous medium sample from permeability measurements, obtained for example by placing the sample in a permeameter which is useful for fast determination of permeability anisotropies of rocks and detention of internal heterogeneities. A pressure difference ΔP is applied between the inlet and outlet faces of a laboratory rock sample, with zero flow conditions on the edges parallel to the mean flow obtained by confining it in a sheath under pressure. Starting from conventional permeability measurements in three directions and from the measurements of the two components of the viscous forces transverse to the sample, a permeability tensor k can be “inverted” by numerical solution of the corresponding boundary-value problem. Since these quantities can be alternatively obtained from numerical solutions of the same flow in a heterogeneous medium, the method can also be used as an upscaling tool in a reservoir simulator.

REFERENCES:
Durlofsky, Louis J., “Numerical Calculation of Equivalent Grid Block Permeability Tensors for Heterogeneous Porous Media,” Water Resources Research, vol. 27, No. 5, pp. 699-708, May 1991, USA.
Bernabé, Yves, “Chapter 6: On the Measurement of Permeability in Anisotropic Rocks,” Fault Mechanics and Transport Properties of Rocks, copyright 1992, Academic Press Ltd. pp. 147-167.
Renard, Phillippe, et al, “Laboratory Determination of the Full Permeability Tensor,” J. of Geophysical Research, vol. 106, No. 811, pp. 26,443-26,452.

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