Efficient region decomposition for parallel simulation accounting for uncertainty in the reservoir model

Yonghwee Kim, Sanjay Srinivasan, Steven L. Bryant

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Reservoir region delineation is essential for parallel flow simulation of large reservoir models. We argue that the delineation of least correlated, most sensitive regions mitigates the requirements for load-balancing and flux-matching that are the bane of current parallel simulation procedures. The optimal choice of sub-regions satisfies two conditions. First, the values of permeability in the sub-regions should have the greatest influence on the performance of injection and/or production wells. Second, the sub-regions should exhibit the least possible correlation with one another. Principal component analysis (PCA) of sensitivity matrices readily identifies regions meeting both the conditions. There are two methods for obtaining sensitivity matrices: i) the Hessian matrix calculated internally by a flow simulator, and ii) a covariance matrix calculated using a suite of realizations. The latter method is more robust and effective in terms of fluid flow connectivity, computational cost, availability to implement and capability of capturing uncertainty of reservoir models. In this paper, we focus on domain delineation using the covariance matrix and apply the method to a series of examples. We discuss key advantages of this method over the alternative of using the Hessian matrix.

Original languageEnglish (US)
Title of host publicationSPE Annual Technical Conference and Exhibition, ATCE 2008
Pages4780-4800
Number of pages21
StatePublished - Dec 1 2008
EventSPE Annual Technical Conference and Exhibition, ATCE 2008 - Denver, CO, United States
Duration: Sep 21 2008Sep 24 2008

Publication series

NameProceedings - SPE Annual Technical Conference and Exhibition
Volume7

Other

OtherSPE Annual Technical Conference and Exhibition, ATCE 2008
CountryUnited States
CityDenver, CO
Period9/21/089/24/08

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All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Energy Engineering and Power Technology

Cite this

Kim, Y., Srinivasan, S., & Bryant, S. L. (2008). Efficient region decomposition for parallel simulation accounting for uncertainty in the reservoir model. In SPE Annual Technical Conference and Exhibition, ATCE 2008 (pp. 4780-4800). (Proceedings - SPE Annual Technical Conference and Exhibition; Vol. 7).