COMPARISON OF IMPES, SEQUENTIAL, AND FULLY IMPLICIT FORMULATIONS FOR TWO-PHASE FLOWIN POROUS MEDIA WITH THE ELEMENT-BASED FINITE VOLUME METHOD

  • Taisa Beatriz Pacheco UFSC
  • Antônio Fábio Carvalho da Silva UFSC
  • Clovis R. Maliska UFSC

Resumo

This paper presents comparative results of IMPES (IMplicit Pressure, Explicit Saturation), sequential, and fully implicit solution schemes for isothermal, immiscible, incompressible two-phase flow reservoir simulation with the Element-based Finite Volume Method (EbFVM). The IMPES method solves pressure implicitly and saturation explicitly, as the acronym suggests. As a result of this explicit calculation its stability is subjected to a restriction of the time step. Nevertheless, this scheme reduces the computational effort and facilitates implementation. The sequential method is a modified IMPES with the aim of improving stability of explicit formulations. The Fully Implicit Method (FIM) solves the system of equations that models the problem simultaneously with the Newton-Raphson method. This formulation implies larger system of equations with many nonlinearities and thus higher computational cost. Regardless the difficulties related to the numerical scheme and its implementation it is a more stable method. Furthermore, in this work it is also presented a variable time step strategy in order to accelerate the performance o the methods. This strategy consists basically in modifying the time step according to the current solution. In this paper, IMPES, sequential and fully implicit methods are compared in terms of stability, computational time and accuracy of their results.

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Referências

Aziz, K. and Settari, A. (1979). Petroleum Reservoir Simulation. Applied Science Publishers.

Buchwalter, J. L. and Miller, C. A. (1993). Compositional and black oil reservoir simulation.

SPE Rocky Mountain Regional/Low Permeability reservoir symposium.

Cao, H. and Aziz, K. (2002). Performance of impsat and impsat-aim models in compositional

simulation. SPE Annual Technical conference and Exhibition.

Chen, Z. (1962). Reservoir Simulation – Mathematical Techniques in Oil Recovery. SIAM.

Chen, Z. H. and Li, B. (2004). An improved impes method for two-phase flow in porous media.

Transport in Porous Media,, 54:361–376.

Coats, K. H. (1982). Reservoir simulation: State of art. SPE.

Coats, K. H., Thomas, L. K., and R.G., P. (1995). A new simplified compositional simulator.

SPE - Society of Petroleum Engineers.

Dullien, F. A. L. (1979). Porous media. Fluid transport and pore structure. Academic Press.

Farnstrom, K. L. and Ertekin, T. (1987). A versatile, fully implicit, black oil simulator with

variable bubble-point option. SPE California Regional Meeting.

Hurtado, F. S. V. (2005). Uma formulac¸ ˜ao de volumes finitos baseada em elementos para a

simulac¸ ˜ao do deslocamento bif´asico imisc´ıvel em meios porosos. Master’s thesis, Universidade

Federal de Santa Catarina.

Hurtado, F. S. V. (2011). Formulac¸ ˜ao tridimensional de volumes finitos para simulac¸ ˜ao de

reservat´orios de petr´oleo com malhas n˜ao-estruturadas h´ıbridas. Doctoral thesis, Departamento

de Engenharia Mecˆanica, Universidade Federal de Santa Catarina, Florian´opolis,

Brasil.

MacDonald, R. C. and Coats, K. H. (1970). Methods for numerical simulation of water and gas

coning. SPE, (10):425–436.

Maliska, C. R. (2004). Transferˆencia de Calor e Mecˆanica dos Fluidos Computacional. LTC

Editora, Rio de Janeiro, RJ.

Peaceman, D. W. (1977). Fundamentals of numerical reservoir simulation. Elsevier Scientific

Publishing Company, Houston, Texas.

Sheldon, J. W., Zondek, B., and Cardwell, W. T. (1959). One dimensional, incompressible,

noncapillary, two-phase fluid flow in a porous medium. AIME, 216:290–296.

Stone, H. L. and Garder, A. O. (1961). Analysis of gas-cap or dissolved-gas reservoir. SPE

AIME, 222:94–104.

Watts, J.W. (1985). A compositional formulation of the pressure and saturation equations. SPE.

Young, L. C. and Stephenson, E. R. (1983). A generalized compositional approach for reservoir

simulation. SPEJ.

Publicado
2017-02-08
Como Citar
PachecoT. B., SilvaA. F. C. da, & MaliskaC. R. (2017). COMPARISON OF IMPES, SEQUENTIAL, AND FULLY IMPLICIT FORMULATIONS FOR TWO-PHASE FLOWIN POROUS MEDIA WITH THE ELEMENT-BASED FINITE VOLUME METHOD. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(21), 194-205. https://doi.org/10.26512/ripe.v2i21.21706