Name
Title | ||
|---|---|---|
Domain decomposition and Schur complement approaches to coupling the well equations in reservoir simulation |
Abstract | ||
|---|---|---|
This note reports on the construction of preconditionings for bordered systems arising in compositional hydrocarbon reservoir modeling. The main portion of the system represents the reservoir equations, and the borders of the systems are associated with the production or injection constraints imposed on the active wells of the reservoir being modeled. In general, the simulation studies are sensitive to the accuracy of the solution at the wells. This note describes strategies for extending a reservoir preconditioning to the well terms. Three alternatives are considered including borrowing ideas from domain decomposition with one domain being the reservoir and the other domain being the well terms. The preconditioners were applied to several linear systems generated by a compositional reservoir simulator, which included various choices for the number of oil wells. The preconditioned iterative methods considered are MINRES and Bi-CGSTAB, which are variants of the conjugate gradient method. This note also reports the use of the Miranda functional programming language for a large scientific application. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1137/0916003 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
domain decomposition,reservoir simulation,functional programming,preconditioning,reservoir modeling | Conjugate gradient method,Reservoir simulation,Mathematical optimization,Linear system,Computer simulation,Iterative method,Reservoir modeling,Domain decomposition methods,Schur complement,Mathematics | Journal |
Volume | Issue | ISSN |
16 | 1 | 1064-8275 |
Citations | PageRank | References |
1 | 0.71 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. C. Díaz | 1 | 17 | 6.26 |
| K. Shenoi | 2 | 1 | 0.71 |