SPE Journal
Volume 15, Number 4, December 2010, pp. 1003-1019

SPE-125429-PA

A Fully Coupled Three-Phase Model for Capillary Pressure and Relative Permeability for Implicit Compositional Reservoir Simulation

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DOI  More information 10.2118/125429-PA http://dx.doi.org/10.2118/125429-PA

Citation

  • Hustad, O.S. and Browning, D.J. 2010. A Fully Coupled Three-Phase Model for Capillary Pressure and Relative Permeability for Implicit Compositional Reservoir Simulation. SPE J. 15 (4): 1003-1019. SPE-125429-PA. doi: 10.2118/125429-PA.

Discipline Categories

  • 6 Reservoir Description and Dynamics
  • 6.5 Reservoir Simulation
  • 6.5.1 Simulator Development
  • 6.8 Fundamental Research in Reservoir Description and Dynamics

Keywords

  • Three-phase flow, Relative permeability, Capillary pressure, Miscibility, Hysteresis

Summary

A coupled formulation for three-phase capillary pressure and relative permeability for implicit compositional reservoir simulation is presented. The formulation incorporates primary, secondary, and tertiary saturation functions. Hysteresis and miscibility are applied simultaneously to both capillary pressure and relative permeability. Two alternative three-phase capillary pressure formulations are presented: the first as described by Hustad (2002) and the second that incorporates six representative two-phase capillary pressures in a saturation-weighting scheme. Consistency is ensured for all three two-phase boundary conditions through the application of two-phase data and normalized saturations.

Simulation examples of water-alternating-gas (WAG) injection are presented for water-wet and mixed-wet saturation functions. 1D homogeneous and 2D and 3D heterogeneous examples are employed to demonstrate some model features and performance.

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History

  • Original manuscript received: 20 October 2009
  • Meeting paper published: 20 October 2009
  • Revised manuscript received: 31 December 2009
  • Manuscript approved: 2 March 2010
  • Published online: 27 July 2010
  • Version of record: 2 December 2010