PSI - Issue 18

A. Kostina et al. / Procedia Structural Integrity 18 (2019) 301–308 Author name / Structural Integrity Procedia 00 (2019) 000–000

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4. Conclusions The work is devoted to the development of a damage model for porous media subjected to thermal and mechanical loadings. The main feature of the proposed model is the coupling between thermal, filtration and mechanical processes which let us to associate the volumetric damage evolution caused by thermal expansion and pore pressure with the improvement in porosity and permeability of the reservoir. The model has been used for the simulation of the structural changes arising in the reservoir during oil recovery by the steam-assisted gravity drainage method. It has been shown that estimated values of the surface heave, porosity and permeability are significantly lower when defect-induced strains are not taking into account. As a result, an accurate prediction of oil production rate requires consideration of geomechanics effects related to the structural changes of the reservoir. Acknowledgements This work was supported by the grant of the President of Russian Federation for support of young Russian scientists and leading scientific schools [MK-4174.2018.1]. References Shafiei, A., Dusseault, M. B., 2013. Geomechanics of Thermal Viscous Oil Production in Sandstones. Journal of Petroleum Science and Engineering 103, 121–139. Kachanov, L.M., 1958. Time of the rupture process under creep conditions. Izvestiya Akademii Nauk SSR 8, 26–31. Kawamoto, T., Ichikawa, Y., Kyoya, T., 1988. Deformation and Fracturing Behaviour of Discontinuous Rock Mass and Damage Mechanics Theory. International Journal for Numerical and Analytical Methods in Geomechanics 12, l-30. Lubliner, J., Oliver, J., Oller, E., Onate, E. A., 1989. Plastic-Damage Model for Concrete. International Journal of Solids and Structures 25, 299 326. Lee, J., Fenves, G.L., 1998. Plastic-damage model for cyclic loading of concrete structures. Journal of Engineering Mechanics 124, 892–900. Al-Shayea, N. A., Mohib, K. R., Baluch, M. H, 2003. A Plastic-Damage Model for Stress–Strain Behavior of Soils. International Journal of Damage Mechanics 12, 305-329. Shao, J.F., Rudnicki, J.W., 2000. A Microcrack-Based Continuous Damage Model for Brittle Geomaterials. Mechanics of Materials 32, 607–619. Valliappan, S., Murti, V., Wohua, Z., 1990. Finite Element Analysis of Anisotropic Damage Mechanics Problems. Engineering Fracture Mechanics 35, 1061-1071. Xu, H., Arson, C., 2014. Anisotropic Damage Models for Geomaterials: Theoretical And Numerical Challenges. International Journal of Computational Methods 11, 1342007. Olsen-Kettle, L., 2018. Bridging the Macro to Mesoscale: Evaluating the Fourth-Order Anisotropic Damage Parameters from Ultrasonic Measurements of an Isotropic Solid under Triaxial Stress Loading. International Journal of Damage Mechanics 28, 219–232. Naimark, O.B., 2003. Collective Properties of Defect Ensembles and Some Nonlinear Problems of Plasticity and Fracture, Physical Mesomechanics 6, 39–63. Lee, H., Kharangte, C. R., Mascarenhas, N. Experimental and Computational Investigation of Vertical Downflow Condensation. International Journal of Heat and Mass Transfer 2015, 85, 865-879. Plekhov, O.A., Naimark, O.B., 2009. Theoretical and Experimental Study of Energy Dissipation in the Course of Strain Localization in Iron. Journal of Applied Mechanics and Technical Physics 50, 127–136. Rahmati, E., Nouri, A., Fattahpour, V., Trivedi, J., 2017. Numerical Assessment of the Maximum Operating Pressure for SAGD Projects by Considering the Intrinsic Shale Anisotropy. Journal of Petroleum Science and Engineering 148, 10-20. Hu, L., Winterfeld, P. H., Fakcharoenphol, P., Wu, Y.-S., 2013. A Novel Fully Coupled Flow and Geomechanics Model in Fractured and Porous Geothermal Reservoirs. Journal of Petroleum Science and Engineering 107, 1–11. Kostina, A. A., Zhelnin, M. S., Plekhov, O. A., 2018. Study of Oil Filtration during Steam-Assisted Gravity Drainage Process. Bulletin of Perm Scientific Center, 3, 6-16. (in Russian)