Commun. Comput. Phys., 6 (2009), pp. 85-108.


A Generalized Numerical Approach for Modeling Multiphase Flow and Transport in Fractured Porous Media

Yu-Shu Wu 1*, Guan Qin 2

1 Department of Petroleum Engineering, Colorado School of Mines, Golden, CO 80401, USA.
2 Institute for Scientific Computation, Texas A & M University, College Station, TX 77843, USA.

Received 19 February 2008; Accepted (in revised version) 3 September 2008
Available online 18 November 2008

Abstract

A physically based numerical approach is presented for modeling multiphase flow and transport processes in fractured rock. In particular, a general framework model is discussed for dealing with fracture-matrix interactions, which is applicable to both continuum and discrete fracture conceptualization. The numerical modeling approach is based on a general multiple-continuum concept, suitable for modeling any types of fractured reservoirs, including double-, triple-, and other multiple-continuum conceptual models. In addition, a new, physically correct numerical scheme is discussed to calculate multiphase flow between fractures and the matrix, using continuity of capillary pressure at the fracture-matrix interface. The proposed general modeling methodology is verified in special cases using analytical solutions and laboratory experimental data, and demonstrated for its application in modeling flow through fractured vuggy reservoirs.

AMS subject classifications: 76S05

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Key words: Integrated finite difference, conservation of mass and energy, Newton iteration, fully implicit, reservoir simulation, fractured rock.

*Corresponding author.
Email: ywu@mines.edu (Y.-S. Wu), Guan.Qin@TAMU.EDU (G. Qin)
 

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