An adaptive finite element methodology for 2d simulation of two-phase flow through porous media

Proceedings of the ACM Symposium on Applied Computing

Volumn Part F129433, Issue , 1994, Pages 357-362

  Morton, D J ^a   Tyler, J M ^a   Bourgoyne, A T ^a   Schenewerk, P A ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Adaptive methods; Finite elements; Two phase flow

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; POROUS MATERIALS;

2D SIMULATIONS; ADAPTIVE FINITE ELEMENT; ADAPTIVE FINITE ELEMENT METHODS; ADAPTIVE METHODS; COMPUTED SIMULATIONS; LABORATORY EXPERIMENTS; THEORETICAL EQUATION; TRANSITION ELEMENT;

TWO PHASE FLOW;

EID: 84994984951     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/326619.326778     Document Type: Conference Paper

References (18)

1. Aziz, K., and Settari, A. Petroleum Reservoir Simulation. Applied Science Publishers, Ltd., Lon-don, 1979.
2. Burnett, D. S. Finite Element Analysis - From Concepts To Applications. Addison-Wesley, Reading, Mass., 1987.
3. Carey, G. F., and Oden, J. T. Finite Elements: Computational Aspects, vol. 3 of The Texas Finite Element Series. Prentice-Hall, Inc., 1984.
4. Demkowicz, Lm, Oden, J. T., Rachowicz, W., and Hardy, O. Toward a universal h-p adaptive finite element strategy, part 1. constrained approximation and data structure. Computer Methods In Applied Mechanics and Engineering 77 (1989), 79112.
5. Devloo, P., Oden, J. T., and Strouboulis, T. Implementation of an adaptive refinement tech-nique for the SUPG algorithm. Computer Methods In Applied Mechanics and Engineering 61 (1987), 339-358.
6. Ewing, R. E. Adaptive mesh refinements in large- scale fluid flow simulation. In Accuracy Estimates and Adaptive Refinements in Finite Element Computations, I. Babuska, O. Zienkiewicz, J. Gago, and E. de A. Oliveira, Eds. John Wiley k Sons Ltd., 1986.
7. Gottardi, G., and Mesini, E. A two-phase finite-element program for displacement simulation processes in porous media. Computers & Geo- sciences 12, 5 (1986), 667-695.
8. Gupta, A. K. A finite element for transition from a fine grid to a coarse grid. International Journal For Numerical Methods In Engineering 12 (1978), 35-45.
9. Hebert, L. E. An experimental study of the effects of water coning on a horizontal well in a bottom drive reservoir. Master's thesis, Louisiana State University, Baton Rouge, Louisiana, May 1990.
10. Hughes, T. J. The Finite Element Method. Prentice-Hall, 1987.
11. Kazda, I. Finite Element Techniques In Groundwater Flow Studies: With Applications In Hy-draulic And Geotechnical Engineering. Elsevier Science Publishing Company, 1990. translated from Czech, by Zdenka Jenikova.
12. Khan, A. R. A scaled model study .of water coning. Journal Of Petroleum Technology (June 1970), 771-776.
13. Lantz, R. B. Rigorous calculation of miscible displacement using immisicble reservoir simulators. Trans. SPE of A-IME 249 (1970), 192-202.
14. Morton, D. J., Tyler, J., and Dorroh, J. R. A new 3d finite element for adaptive h-refinement in 1-irregular meshes. Tech. Rep. 93-004, Louisiana State University, Department of Computer Science, July 1993.
15. Mungan, N. A theoretical and experimental coning study. Society of Petroleum Engineers Journal (June 1975), 247-254.
16. Oden, J. T. Adaptive finite element methods for problems in solid and fluid mechanics. In Finite Elements Theory and Application (1988), D. Dwoyer, M. Hussaini, and R. Voigt, Eds., Springer-Verlag.
17. Peaceman, D. W. Fundamentals of Numerical Reservoir Simulation. Elsevier, Amsterdam, 1977.
18. Temam, R. Survey of the status of finite element methods for partial differential equations. In Proceedings of the ICASE Finite Element Theory and Application Workshop (Hampton, Virginia, 1986), D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt, Eds., Springer-Verlag, pp. 1-33.