PSI - Issue 28

A. Kostina et al. / Procedia Structural Integrity 28 (2020) 675–683 Author name / Structural Integrity Procedia 00 (2019) 000–000

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Fig. 6. Oil production rate ((1) – thermo-elastic model, non-uniform steam distribution; (2) – thermo-inelastic model, uniform steam distribution; (3) – thermo-inelastic model, non-uniform steam distribution). 4. Conclusions The work proposes three-dimensional mathematical model of steam-assisted gravity drainage which describes development of a steam chamber, structural changes in the reservoir induced by the damage evolution as well as increase in porosity and permeability. 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 with the improvement in porosity and permeability of the reservoir. Comparative analysis of three different scenarios of strain evolution induced by thermal front propagation has been considered: thermo-elastic strains with non-uniform steam distribution along the horizontal wellbore, thermo-inelastic strains with uniform steam distribution and thermo-inelastic strains with non-uniform steam distribution. The results have shown that estimated values of the surface heave, porosity and permeability are significantly lower when defect induced strains are not taking into account. Moreover, accurate prediction of oil production rate requires consideration of geomechanical effects associated with the structural changes in the reservoir as well as non-uniformity of steam distribution along the horizontal wellbore. Acknowledgements This research was supported by Russian Science Foundation (Grant No. 19-77-30008). References Uribe-Patino, A., Alzate-Espinosa, G. A., Arbelaez-Londono, A., 2017. Geomechanical Aspects of Reservoir Thermal Alteration: A Literature Review. Journal of Petroleum Science and Engineering 152, 250–266. Kachanov, L.M., 1958. Time of The Rupture Process under Creep Conditions. Izvestiya Akademii Nauk SSR 8, 26–31. Shojaei, A. K., Shao, J., 2017. Application of continuum damage mechanics in hydraulic fracturing simulations. Porous Rock Fracture Mechanics, 197–212. Yi, L.-P., Li, X.-G., Yang, Z.-Z., Waisman, H., 2019. A Fully Coupled Fluid Flow and Rock Damage Model for Hydraulic Fracture of Porous Media. Journal of Petroleum Science and Engineering 178, 814–828. Mobasher, M. E., Berger-Vergiat, L., Waisman, H., 2017. Non-Local Formulation for Transport and Damage in Porous Media. Computer Methods in Applied Mechanics and Engineering, 324, 654–688. Sahara, D. P., Schoenball, M., Gerolymatou, E., Kohl, T., 2017. Analysis of Borehole Breakout Development using Continuum Damage Mechanics. International Journal of Rock Mechanics and Mining Sciences, 97, 134–143. Eremin, M., Esterhuizen, G., Smolin, I., 2020. Numerical Simulation of Roof Cavings in Several Kuzbass Mines using Finite-Difference Continuum Damage Mechanics Approach. International Journal of Mining Science and Technology, 30, 157-166. Wu, G., Chen, W., Rong, C., Jia, S., Dai, Y., 2020. Elastoplastic Damage Evolution Constitutive Model of Saturated Rock with Respect to Volumetric Strain in Rock and its Engineering Application. Tunnelling and Underground Space Technology, 97, 103284. Naimark, O.B., 2003. Collective Properties of Defect Ensembles and Some Nonlinear Problems of Plasticity and Fracture. Physical Mesomechanics 6, 39–63. Huang, S., Xia, Y., Xiong, H., Liu, H., Chen, X., 2018. A Three-dimensional Approach to Model Steam Chamber Expansion and Production Performance of SAGD Process. International Journal of Heat and Mass Transfer 127, 29-38.