Study of Perturbation Designs for the Partially Separable Objective Function With Gradient-Based Optimizations in History Matching
- Didier Yu Ding (IFP Energies Nouvelles) | Francois McKee (IFP Energies Nouvelles)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2013
- Document Type
- Journal Paper
- 495 - 507
- 2013. Society of Petroleum Engineers
- 4.1.5 Processing Equipment, 5.5 Reservoir Simulation, 5.5.8 History Matching, 5.1.9 Four-Dimensional and Four-Component Seismic, 4.1.2 Separation and Treating
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- 261 since 2007
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Assisted history matching is widely used to constrain reservoir models by integrating well-production data and/or 4D seismic data. However, history matching generally requires a large number of reservoir simulations, which are very CPU time-consuming, in the optimization procedure. In this paper, we present a new technique that allows us to reduce the number of reservoir simulations for the gradient-based optimization method in history matching.
The new method is based on the partial separability of the objective function with local components referred to the wells and/or the seismic zones. How to choose a good perturbation design for the gradient computation is the main issue. In this paper, the graph-coloring algorithm is applied to determine "independent" components and parameters for a partially separable function, and analytical test functions are proposed for the selection of perturbation designs. This method can significantly reduce the number of reservoir simulations for a partially separable objective function in history matching.
|File Size||2 MB||Number of Pages||13|
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