Thursday, March 25
MS14
Mathematics of Multiphase Flow in Porous Media
10:30 AM-1:00 PM
Room: Executive Salon 3
Nonlinear waves occurring in multi-phase flow in porous media have a
rich structure. In contrast to two-phase flow, the structure is often
very sensitive to diffusive terms, i.e., capillary pressure. The
substantial body of available theory for hyperbolic systems of
conservation laws is of limited utility in multi-phase flow, which is
of mixed elliptic-hyperbolic type and displays more pronounced
nonlinear effects. The speakers in this minisymposium will address
questions of existence, uniqueness, stability, structure of
solutions, and consequences for petroleum engineering.
Organizer: Dan Marchesin
IMPA, Brazil
- 10:30-10:55 Riemann Problem for Two-Phase Flow in Porous
Media: System of Nonconservation Laws
- Pavel Bedrikovetsky, Petrobras, Brazil
- 11:00-11:25 Nonexistence and Oscillatory Solutions in a
Quadratic Model Deriving from Petroleum Engineering
- Suncica Canic, Iowa State University
- 11:30-11:55 Combustion Fronts in Porous Media
- Jesus Carlos Da-Mota, U. F. Goias, Brazil; Wilson B.
Dantas, U. F. Minas Gerais, Brazil; and Dan Marchesin, Organizer
- 12:00-12:25 Instability in Models of Three-Phase Flow
- Bradley Plohr, State University of New York, Stony
Brook; Arthur Azevedo, University of Brasilia, Brazil; Dan Marchesin,
Organizer; and K. Zumbrun, Indiana University, Bloomington
- 12:30-12:55 Fundamental Solutions for Hysteretic Three-Phase
Flow in Porous Media
- Aparecido J. de Souza, U. F. Paraiba, Brazil
MMD, 11/19/98