SPE Journal
Volume 15, Number 4, December 2010, pp. 1020-1027

SPE-135534-PA

Boundary Control of a Horizontal Oil Reservoir

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DOI  More information 10.2118/135534-PA http://dx.doi.org/10.2118/135534-PA

Citation

  • Sagatun, S.I. 2010. Boundary Control of a Horizontal Oil Reservoir. SPE J.  15 (4): 1020-1027. SPE-135534-PA. doi: 10.2118/135534-PA.

Discipline Categories

  • 6.3.1 Flow in Porous Media
  • 6.5.1 Simulator Development

Keywords

  • coning, boundary, control, horizontal, reservoir

Summary

This article presents a model-based boundary-control strategy for the drainage of a horizontal oil reservoir with a gas cap. The control objective is to maximize the net present value (NPV) of the produced oil from a well before gas is coned into the well. A nonlinear partial-differential equation (PDE) representing the reservoir dynamics has been derived. The linearized model is a parabolic PDE with mixed boundary conditions. The linearized model is used together with an output-feedback boundary-control law. Performance guarantee in the linear case is proved.

© 2010. Society of Petroleum Engineers

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History

  • Original manuscript received: 25 July 2009
  • Revised manuscript received: 20 January 2010
  • Manuscript approved: 26 January 2010
  • Published online: 23 June 2010
  • Version of record: 2 December 2010