SPE Journal
Volume 14,
Number 4,
December 2009,
pp. 634-645
Summary
With the advances in smart well technology, substantially higher oil
recovery can be achieved by intelligently managing the operations in a
closed-loop optimization framework. The closed-loop optimization consists of
two parts: geological model updating and production optimization. Both of these
parts require gradient information to minimize or maximize an objective
function: squared data mismatch or the net present value (or other quantities
depending on financial goals), respectively. Alternatively, an ensemble-based
method can acquire the gradient information through the correlations provided
by the ensemble. Computation of the optimal controls in this way is nearly
independent of the number of control variables, reservoir simulator and
simulation solver. In this paper, we propose an ensemble-based closed-loop
optimization method that combines a novel ensemble-based optimization scheme
(EnOpt) with the ensemble Kalman filter (EnKF). EnKF has recently been found
suitable for sequential data assimilation in large-scale nonlinear dynamics. It
adjusts reservoir model variables to honor observations and propagates
uncertainty in time. EnOpt optimizes the expectation of the net present value
based on the updated reservoir models. The proposed method is fairly robust,
completely adjoint-free and can be readily used with any reservoir simulator.
The ensemble-based closed-loop optimization method is illustrated with a
waterflood example subject to uncertain reservoir description. Results are
compared with other possible reservoir operation scenarios, such as wells with
no controls, reactive control, and optimization with known geology. The
comparison shows that the ensemble-based closed-loop optimization is able to
history match the main geological features and increase the net present value
to a level comparable with the hypothetical case of optimizing based on known
geology.
© 2009. Society of Petroleum Engineers
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History
- Original manuscript received:
16 January 2008
- Meeting paper published:
20 April 2008
- Revised manuscript received:
28 July 2008
- Manuscript approved:
25 August 2008
- Published online:
3 August 2009
- Version of record:
22 December 2009