Abstract
An approximate model is derived for the flow of oil in a reservoir resulting from specified pressure at a horizontal cylindrical well with circular cross-section. This model applies in a limit as the ratios of well radius and reservoir thickness to well length approach zero. Long-time solutions to the resulting model can be found both for a single well and for some symmetric arrangements of multilateral wells, and for both fixed pressure and fixed flow rates, using complex-variable methods.
Original language | English |
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Pages (from-to) | 289-315 |
Number of pages | 27 |
Journal | IMA Journal of Management Mathematics |
Volume | 10 |
Issue number | 4 |
DOIs | |
Publication status | Published - Oct 1999 |
ASJC Scopus subject areas
- Management Information Systems
- Modelling and Simulation
- Economics, Econometrics and Finance(all)
- Strategy and Management
- Management Science and Operations Research
- Applied Mathematics