SPE Reservoir Evaluation & Engineering
Volume 12, Number 5, October 2009, pp. 724-736

SPE-113498-PA

Using Experimental Designs, Assisted History-Matching Tools, and Bayesian Framework To Get Probabilistic Gas-Storage Pressure Forecasts

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DOI  More information 10.2118/113498-PA http://dx.doi.org/10.2118/113498-PA

Citation

  • Schaaf, T., Coureaud, B., Labat, N., and Busby, D. 2009. Using Experimental Designs, Assisted History-Matching Tools, and Bayesian Framework To Get Probabilistic Gas-Storage Pressure Forecasts. SPE Res Eval & Eng  12 (5): 724-736. SPE-113498-PA. doi: 10.2118/113498-PA.

Discipline Categories

  • 6.5 Reservoir Simulation
  • 6.5.5 Evaluation of Uncertainties
  • 6.5.2 Construction of Static Models
  • 6.3.1 Flow in Porous Media

Keywords

  • proxy, assisted history matching, bayesian

Summary

One of the main concerns in the oil and gas business is generating reliable reservoir hydrodynamics forecasts. Such profiles are the cornerstones of optimal technico-economical management decisions. A workflow combining different methods to integrate and reduce most of the subsurface uncertainties using multiple history matched models (explaining the past) to infer reasonably reliable forecasts is proposed.

A sensitivity study is first performed using experimental design to scan the whole range of static and dynamic uncertainty parameters using a proxy model of the fluid-flow simulator. Only the most sensitive ones with respect to an objective function (OF) (quantifying the mismatch between the simulation results and the observations) are retained for subsequent steps.

Assisted history-matching tools are then used to obtain multiple history-matched models.

To obtain probabilistic pressure profiles, multiple history-matched models are combined with the uncertain parameters not retained in the sensitivity study, using the joint modeling method.

Another way to constrain uncertain parameters with observation data is to use Bayesian framework where a posteriori distributions of the input parameters are derived from the a priori distributions and the likelihood function. The latter is computed through a nonlinear proxy model using experimental design, kriging, and dynamic training techniques.

These two workflows have been applied to a real gas storage case submitted to significant seasonal pressure variations. The obtained probabilistic operational pressure profiles for a given period are then compared to the actual gas storage dynamic behavior so that we can compare the two approaches and assess the added value of both proposed workflows.

© 2009. Society of Petroleum Engineers

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History

  • Original manuscript received: 29 February 2008
  • Meeting paper published: 9 June 2008
  • Revised manuscript received: 13 March 2009
  • Manuscript approved: 30 March 2009
  • Published online: 3 September 2009
  • Version of record: 28 October 2009