Simulating two phase immiscible flow in heterogeneous media using finite elements and multigrid methods
- Univ. of Illinois, Urbana, IL (United States). Dept. of Civil Engineering
- COPPE/Federal Univ. of Rio de Janeiro (Brazil)
Numerical simulation of enhanced hydrocarbon recovery has always been recognized as a computationally intensive task. Multigrid methods are described for solving the pressure equation arising from a finite element discretization of the equations modeling the flow of two immiscible and incompressible fluids in a heterogeneous porous medium. Comparisons are made between the performance of these methods and a preconditioned conjugate gradient algorithm by solving some two dimensional five spot problems on both homogeneous and heterogeneous media. Multigrid appears more suitable for large, three dimensional problems by virtue of the observation that the number of multigrid cycles required to solve the pressure equation remains constant at the problem size, n, is increased, whereas the number of conjugate gradient cycles is proportional to n{sup 1/3}. An element-by-element implementation is also described that minimizes storage and produces code that can be easily vectorized and parallelized on shared memory computers.
- Sponsoring Organization:
- National Science Foundation, Washington, DC (United States)
- OSTI ID:
- 435813
- Report Number(s):
- CONF-951135-; ISBN 0-7918-1755-5; TRN: IM9710%%471
- Resource Relation:
- Conference: 1995 International mechanical engineering congress and exhibition, San Francisco, CA (United States), 12-17 Nov 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the ASME Heat Transfer and Fluids Engineering Divisions: Fluid mechanics and heat transfer in sprays; Heat, mass and momentum transfer in environmental flows; Measurement techniques in multiphase flow; Multiphase transport in porous media. HTD-Volume 321; FED-Volume 233; Hoyt, J.W. [ed.] [San Diego State Univ., CA (United States)]; O`Hern, T.J. [ed.] [Sandia National Labs., Albuquerque, NM (United States)]; Presser, C. [ed.] [National Inst. of Standards and Technology, Gaithersburg, MD (United States)] [and others]; PB: 761 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
Users` manual for LEHGC: A Lagrangian-Eulerian Finite-Element Model of Hydrogeochemical Transport Through Saturated-Unsaturated Media. Version 1.1
High-resolution miscible and immiscible displacement calculations using multigrid and conservative unsplit multidimensional upwind methods in heterogeneous reservoirs