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Deterministic ensemble smoother with multiple data assimilation as an alternative for history-matching seismic data. (English) Zbl 1406.86021
Summary: This paper reports the results of an investigation on the use of a deterministic analysis scheme combined with the method ensemble smoother with multiple data assimilation (ES-MDA) for the problem of assimilating a large number of correlated data points. This is the typical case when history-matching time-lapse seismic data in petroleum reservoir models. The motivation for the use of the deterministic analysis is twofold. First, it tends to result in a smaller underestimation of the ensemble variance after data assimilation. This is particularly important for problems with a large number of measurements. Second, the deterministic analysis avoids the factorization of a large covariance matrix required in the standard implementation of ES-MDA with the perturbed observations scheme. The deterministic analysis is tested in a synthetic history-matching problem to assimilate production and seismic data.

MSC:
86A22 Inverse problems in geophysics
86A32 Geostatistics
86A15 Seismology (including tsunami modeling), earthquakes
62M20 Inference from stochastic processes and prediction
65C05 Monte Carlo methods
Software:
GSLIB
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