An Equation-of-State-Based Reservoir Model Incorporating Continuous-Mixture Thermodynamics

1994 ◽  
Vol 33 (8) ◽  
pp. 1962-1970 ◽  
Author(s):  
Dwarkaprasad S. Chakravarty ◽  
Michael A. Matthews
2011 ◽  
Vol 21 (04) ◽  
pp. 745-775 ◽  
Author(s):  
P. HELLUY ◽  
H. MATHIS

In this paper we investigate algorithms based on the Fast Legendre Transform (FLT) in order to compute tabulated Equation Of State (EOS) for fluids with phase transition. The equation of state of a binary mixture is given by an energy minimization principle. According to the miscible or immiscible nature of the mixture, the energy of the system is either a convex envelope or an inf-convolution of the energies of the two phases. Because these operations are closely linked to Legendre transform, it is possible to construct fast algorithms that compute efficiently these operations. In addition, it appears that the natural mathematical tool for studying mixture thermodynamics in the Legendre space is the max-plus algebra theory.


AIChE Journal ◽  
2005 ◽  
Vol 51 (10) ◽  
pp. 2811-2824 ◽  
Author(s):  
Daniel E. Rosner ◽  
Manuel Arias-Zugasti ◽  
Barbara LaMantia

1998 ◽  
Vol 94 (5) ◽  
pp. 809-814 ◽  
Author(s):  
C. BARRIO ◽  
J.R. SOLANA

2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-281-Pr5-286
Author(s):  
M. Ross ◽  
L. H. Yang ◽  
G. Galli

1980 ◽  
Vol 41 (C2) ◽  
pp. C2-83-C2-83
Author(s):  
Ph. Choquard
Keyword(s):  

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