Elastic anisotropy of shale

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This is a solution for modeling the elastic anisotropy of shale using an Eshelby's type (Eshelby, 1957) anisotropic homogenization model that was developed by Hornby et al. 1994. This model considers the percolation threshold effect by combining the Self-Consistent scheme (SC) and the Differential Effective Medium (DEM) scheme. The anisotropic Hill's tensor (that is required to compute the Eshelby's tensor and the strain concentration tensor) is computed using the solutions derived by Sevostianov et al. (2005).


References:
Hornby, B. E., Schwartz, L. M., & Hudson, J. A. (1994). Anisotropic effective-medium modeling of the elastic properties of shales. Geophysics, 59(10), 1570-1583.
Eshelby, J. D. (1957, August). The determination of the elastic field of an ellipsoidal inclusion, and related problems. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences (Vol. 241, No. 1226, pp. 376-396). The Royal Society.
Sevostianov, I., Yilmaz, N., Kushch, V., & Levin, V. (2005). Effective elastic properties of matrix composites with transversely-isotropic phases. International journal of solids and structures, 42(2), 455-476.

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Input the parameters then click Compute button to calculate the elastic stiffness tensor of pure wet clay. Assumption of horizontally aligned clay particles is considered (for more advanced options, please contact us).


Pore aspect ratio (assuming spheroidal pore shape, a x a x c, with aspect ratio = c/a)

Bulk modulus of solid phase (GPa)

Shear modulus of solid phase (GPa)

Percolation porosity (V/V)




Output data: