Analytic evaluations of pressure in oil reservoirs with radial multilateral wells

K. A. Hutcheson*, A. A. Lacey

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)289-315
Number of pages27
JournalIMA Journal of Management Mathematics
Issue number4
Publication statusPublished - 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


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