Evaluation of the production rate efficiency of the deformable oil reservoir using enhanced multiscale method

نوع مقاله : مقاله پژوهشی


1 گروه مکانیک سنگ دانشگاه تربیت مدرس، تهران، ایران

2 faculty of engineering

3 دانشگاه تربیت مدرس، دانشکده فنی و مهندسی


Petroleum reservoirs contain many physics that play role in multiple scales. Fluid flow and deformation of solid phase are main physics that influence the production rate. However, a full description of flow and deformation that includes all these scales exceeds the current computational capabilities. In order to overcome this deficiency, each physical effect should be treated separately on its area of influence. In the present paper, the fluid transport and deformation of porous media are determined through separate frameworks in different scales. The Enhanced Multiscale Multiphysics Mixed Geomechanical Model (EM3GM) have been developed and utilized to determine the production rate of deformable reservoirs. The EM3GM not only maintains advanced features of Multiscale Finite Volume (MSFV) in flow patterns but also improves with properties of Elastic-Plastic framework in the solid domain. Finally, in order to show the accuracy of the model and also to reveal the effect of the plastic deformations in production rate, indicative test cases were analyzed and reasonable results were achieved. The plastic deformation will lead to decrease in oil production rate with respect to energy loses during plastic deformation which is more close to the real situation. The numerical results show that neglecting solid deformation could overestimate the production rate from one to four times higher at the earlier stage of production for the hard rock and this amount would be increase for the loose rock with respect to higher energy loss.


[1]. Aarnes, J. E., Kippe, V., Lie, K. A., & Rustad, A. B. (2007). Modelling of Multiscale structures in flow simulations for petroleum reservoirs. In Geometric Modelling, Numerical Simulation, and Optimization (pp. 307-360). Springer, Berlin, Heidelberg.
[2]. Kanouté, P., Boso, D. P., Chaboche, J. L., & Schrefler, B. (2009). Multiscale methods for composites: a review. Archives of Computational Methods in Engineering, 16(1), 31-75.
[3]. Zhang, H., & Liu, H. (2014). A Multiscale computational method for 2d elastoplastic dynamic analysis of heterogeneous materials. International Journal for Multiscale Computational Engineering, 12(2).
[4]. Durlofsky, L. J. (2003, June). Upscaling of geocellular models for reservoir flow simulation: a review of recent progress. In 7th International Forum on Reservoir Simulation Bühl/Baden-Baden, Germany (pp. 23-27). Citeseer.
[5]. Hou, T. Y., & Wu, X. H. (1997). A Multiscale finite element method for elliptic problems in composite materials and porous media. Journal of computational physics, 134(1), 169-189.
[6]. Taheri, E. (2015). Multiscale modeling oil transport in deformable porous media. Phd, K, N toosi university of tech.
[7]. Sadrnejad, S. A., Ghasemzadeh, H., & Taheri, E. (2014). Multiscale multiphysic mixed geomechanical model in deformable porous media. International Journal for Multiscale Computational Engineering, 12(6).
[8]. Babuška, I., and Osborn, E. (1983). Generalized finite elementmethods: Their finite element method for elliptic problems with rapidly oscillating performance and their relation to mixed methods. SIAM J. Numer. Anal. 20, no. 3 510–536.
[9]. Jenny, P., Lee, S. H., & Tchelepi, H. A. (2003). Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. Journal of computational physics, 187(1), 47-67.
[10]. Jenny, P., Lee, S. H., & Tchelepi, H. A. (2004). Adaptive Multiscale finite-volume method for multiphase flow and transport in porous media. Multiscale Modeling & Simulation, 3(1), 50-64.
[11]. Hajibeigi, H. (2011). Iterative Multiscale finite volume method for multiphase flow in porous media with complex physics. ETH, PhD.
[12]. Jenny, P., & Lunati, I. (2009). Modeling complex wells with the multi-scale finite-volume method. Journal of Computational Physics, 228(3), 687-702.
[13]. Sokolova, I., Bastisya, M. G., & Hajibeygi, H. (2019). Multiscale finite volume method for finite-volume-based simulation of poroelasticity. Journal of Computational Physics, 379, 309-324.
[14]. Taheri, E., Sadrnejad, S. A., & Ghasemzadeh, H. (2015). Multiscale geomechanical model for a deformable oil reservoir with surrounding rock effects. International journal for Multiscale computational engineering, 13(6).
[15]. Moghadam, S. I., Taheri, E., Ghoreishian, S. A. (2022). Unified bonding surface model for monotonic and cyclic behaviour of clay and sand, Acta Geotechnica, Accepted.
[16]. Ghasemzadeh, H., & Pasand, M. S. (2019). An elastoplastic Multiscale, multiphysics mixed geomechanical model for oil reservoirs using adaptive mesh refinement methods. International Journal for Multiscale Computational Engineering, 17(4).
[17]. Ghasemzadeh, H. (2019). Multiscale multiphysic mixed geomechanical model for deformable porous media considering the effects of surrounding area. Journal of Petroleum Geomechanics; Vol, 3(1).
[18]. Mazlumi, F., Mosharaf-Dehkordi, M., & Dejam, M. (2021). Simulation of two-phase incompressible fluid flow in highly heterogeneous porous media by considering localization assumption in Multiscale finite volume method. Applied Mathematics and Computation, 390, 125649.
[19]. Lewis, R. W., Lewis, R. W., & Schrefler, B. A. (1998). The finite element method in the static and dynamic deformation and consolidation of porous media. John Wiley & Sons.
[20]. Hajibeygi, H., & Jenny, P. (2009). Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media. Journal of Computational Physics, 228(14), 5129-5147.
[21]. Ghoreishian, S. A. (2012). hydro thermo mechanical model for black oil reservoirs, PH. D. Dissertation, KNTU.