Abstract
We perform the diagonalization of the 2nd rank dispersion tensor D ij in the 2-dim anisotropic porous medium with two mirror lines, which are perpendicular to each other. We derive the eigenvalues of the matrix and calculate an angular measure of anisotropy.
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References
Bear, J.: On the Tensor Form of Dispersion. J. Geophys. Res. 66, 1185–1197 (1961)
Bear, J.: Dynamics of Fluids in Porous Media, p. 764. American Elsevier (1972)
Fel, L.G., Bear, J.: Dispersion and Dispersivity Tensors in Saturated Porous Media with Uniaxial Symmetry. Submitted to TIPM (preprint, 2009), http://arXiv.org/abs/physics.flu-dyn/0904.3447
Scheidegger, A.E.: General Theory of Dispersion in Porous Media. J. Geophys. Res. 66, 3273–3278 (1961)
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Fel, L.G., Bear, J. (2010). Principal Axes and Values of the Dispersion Coefficient in the 2D Axially Symmetric Porous Medium. In: Albers, B. (eds) Continuous Media with Microstructure. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11445-8_26
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DOI: https://doi.org/10.1007/978-3-642-11445-8_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11444-1
Online ISBN: 978-3-642-11445-8
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