Geological simulation and issues of petroleum fields development
| Article # 49_2022 | submitted on 11/30/2022 displayed on website on 12/22/2022 |
| 9 p. | Goleij F. |
| Modeling the effect of fracture orientation on porus media anisotropy using the T-matrix method | |
| *The article is presented in English. Fracture orientation is crucial in porous media anisotropy. In the current study we investigate the role of fracture orientation based on a novel Rock Physics method - the T-matrix approach. This method allows us to study the fracture porosity, shape and orientation together with the minerals volumetric and morphological characteristics. In the first part of this paper, we assume that the considered system consists of a set of aligned, penny-shaped fractures. To include the fracture's spatial alignment, we use the Euler angles. The sensitivity of the stiffness components on the main diagonal of the stiffness matrix along the extended Thompson parameters to the fracture orientation change was investigated. Based on the obtained results we concluded that the effect of fracture orientation on the anisotropy of the system can be explained by introducing a hypothetical qualitative parameter called the fracture projection cross-sectional area on the three perpendicular planes (x1, x2 and x3). We developed three basic rules to describe how fracture alignment controls this hypothetical parameter. Keywords: аnisotropy, T-matrix method, Euler angles, stiffness matrix, fracture orientation. |
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| article citation | Goleij F. Modeling the effect of fracture orientation on porus media anisotropy using the T-matrix method. Neftegazovaya Geologiya. Teoriya I Praktika, 2022, vol. 17, no. 4, available at: http://www.ngtp.ru/rub/2022/49_2022.html |
| DOI | https://doi.org/10.17353/2070-5379/49_2022 |
References
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Hudson J.A. Overall properties of a cracked solid. Mathematical Proceedings of the Cambridge Philosophical Society, 2008, no. 88, pp. 371-384.
Jakobsen M., Hudson J.A., Johansen T.A. T-matrix approach to shale acoustics. Geophysical Journal International, 2003, no. 154, pp. 533-558.
Kachanov M., Sevostianov I. Property Contribution Tensors of Inhomogeneities. In Micromechanics of Materials, with Applications, 2018, eds. Kachanov, M. & Sevostianov, I. Springer International Publishing, Cham. pp. 189-314.
Kachanov M., Tsukrov I., Shafiro B. Effective Moduli of Solids With Cavities of Various Shapes. Applied Mechanics Reviews - APPL MECH REV, 1994, pp. 47.
Schoenberg M., Sayers C.M. Seismic anisotropy of fractured rock. Geophysics, 1995, no. 60, pp. 204-211.
Shermergor T.D. Teoriya uprugosti mikroneodnorodnykh sred [Theory of elasticity of micro inhomogeneous media]. Moscow: Nauka, 1977, 399 p.
Tsvankin I. Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 1997, no. 62, pp. 1292-1309.
Tsvankin I. Normal moveout from dipping reflectors in anisotropic media. Geophysics, 1995, no. 60, pp. 268-284.
Zheng Y., Todorovic-Marinic D., Larson G. Seismic fracture detection: ambiguity and practical solution. SEG Int'l Exposition and 74th Annual Meeting. Denver, Colorado, 10-15 October 2004, 4 p. http://geo-x.com/pdf/SeismSeismic_Fracture_Detection_Ambiguity_and_ practical_solution.pdf
Budiansky B., O'Connell R.J. Elastic moduli of a cracked solid. International Journal of Solids and Structures. 1976, no. 12, pp. 81-97.
Fang X., Fehler M.C., Zhu Z., Zheng Y., Burns D.R. Reservoir fracture characterization from seismic scattered waves. Geophysical Journal International, 2014, no. 196, pp. 481-492.
Fedorov F.I. General Theory of Elastic Waves in Crystals Based on Comparison with an Isotropic Medium. in Theory of Elastic Waves in Crystals, 1968, ed. Fedorov F. I. Springer US, Boston, MA. pp. 169-209.
Grechka V., Contreras P., Tsvankin I. Inversion of normal moveout for monoclinic medial. 2000, Geophysical Prospecting, no. 48, vol. 3, pp. 577-602.
Hashin Z., Shtrikman S. A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of Mechanics Physics of Solids, 1963, no. 11, pp. 127.
Hudson J.A. Overall properties of a cracked solid. Mathematical Proceedings of the Cambridge Philosophical Society, 2008, no. 88, pp. 371-384.
Jakobsen M., Hudson J.A., Johansen T.A. T-matrix approach to shale acoustics. Geophysical Journal International, 2003, no. 154, pp. 533-558.
Kachanov M., Sevostianov I. Property Contribution Tensors of Inhomogeneities. In Micromechanics of Materials, with Applications, 2018, eds. Kachanov, M. & Sevostianov, I. Springer International Publishing, Cham. pp. 189-314.
Kachanov M., Tsukrov I., Shafiro B. Effective Moduli of Solids With Cavities of Various Shapes. Applied Mechanics Reviews - APPL MECH REV, 1994, pp. 47.
Schoenberg M., Sayers C.M. Seismic anisotropy of fractured rock. Geophysics, 1995, no. 60, pp. 204-211.
Shermergor T.D. Teoriya uprugosti mikroneodnorodnykh sred [Theory of elasticity of micro inhomogeneous media]. Moscow: Nauka, 1977, 399 p.
Tsvankin I. Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 1997, no. 62, pp. 1292-1309.
Tsvankin I. Normal moveout from dipping reflectors in anisotropic media. Geophysics, 1995, no. 60, pp. 268-284.
Zheng Y., Todorovic-Marinic D., Larson G. Seismic fracture detection: ambiguity and practical solution. SEG Int'l Exposition and 74th Annual Meeting. Denver, Colorado, 10-15 October 2004, 4 p. http://geo-x.com/pdf/SeismSeismic_Fracture_Detection_Ambiguity_and_ practical_solution.pdf