Patent · US Active

System and method for predicting fluid flow in subterranean reservoirs

US8972231B2 · kind B2 · utility

1Cited by
4References
20Claims
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Key dates

Filing dateJan 29, 2010
Grant dateMar 3, 2015
Priority date
Expiry dateNov 3, 2032

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG06F2111/10
  • WIPO fieldComputer technology
  • WIPO sectorElectrical engineering

Abstract

A reservoir prediction system is disclosed that uses a kernel-based ensemble Kalman filter (EnKF) capable of representing non-Gaussian random fields characterized by multi-point geostatistics. The EnKF uses only the covariance and cross-covariance between the random fields (to be updated) and observations, thereby only preserving two-point statistics. The kernel-based EnKF allows the creation of nonlinear generalizations of linear algorithms that can be exclusively written in terms of dot products. By deriving the EnKF in a high-dimensional feature space implicitly defined using kernels, both the Kalman gain and update equations are nonlinearized, thus providing a completely general nonlinear set of EnKF equations, the nonlinearity being controlled by the kernel. By choosing high order polynomial kernels, multi-point statistics and therefore geological realism of the updated random fields can be preserved.

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