Global Multiscale Finite Element Method for Flow in Fractured Media

Abstract:

Numerical simulation in fractured media is challenging because of the complex microstructure and the coupled fluid flow in porous and fractured media. In this paper, we have extended the global multiscale finite element method (GMsFEM) to study the fluid flow in fractured media with a dual porosity model. By using the fine-scale solution at t=0 to determine the boundary conditions of the basis function, local and nonlocal informations are reflected in the basis functions. As a result, an accurate solution can be achieved in the coarse scale. Numerical example demonstrate that the solution of GMsFEM is highly consistent with the fine-scale solution of FEM. Furthermore, GMsFEM provides a great computational efficiency.

• Periodical: Advanced Materials Research (Volumes 945-949)
• Pages: 1007-1010
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.945-949.1007
• Online since: June 2014
• Authors: Xiao Lin Li, Guang Wei Meng, Li Ming Zhou*, Feng Li
• Keywords: Dual Porosity Model, Finite Element Method (FEM), Global Multiscale Finite Element Method, Numerical Simulation

References

[1] J. Wen, Y. He: Comput Math Appl. Vol. 67 (2014), p.1.

[2] L. Bush, V. Ginting and M. Presho: J Comput Appl Math. Vol. 260 (2014), p.395.

[3] H. Liu, H.W. Zhang: Comp Mater Sci. Vol. 73 (2013), p.79.

[4] Y. Zhang, Y. Hou and H. Zheng: Numer Meth Part D E. Vol. 30 (2014), p.361.

[5] A. Abdulle, G. Vilmart: Math Comput. Vol. 83 (2014), p.513.

[6] T.Y. Hou, X.H. Wu: J Comput Phys. Vol. 134 (1997), p.169.

[7] N. Zhang, J. Yao and Z.Q. Huang: J Comput Phys. Vol. 242 (2013), p.420.

[8] H. Hajibeygi, D. Karvounis and P. Jenny: J Comput Phys. Vol. 230 (2011), p.8729.

[9] S.K. F. Hattingh, B.D. Reddy: J Petrol Sci Eng. Vol. 69 (2009), p.1.

[10] L. Jiang, Y. Efendiev and I. Mishev: Computat Geosci. Vol. 14 (2010), p.319.