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Chapter from: CA
3: Stochastic Modeling and Geostatistics
Jeffrey M. Yarus and Richard L. Chambers
Clayton V. Deutsch and Andre G. Journel
Methodology and Concepts
Published 1994 as
part of Computer Applications 3
Copyright © 1994 The American Association of Petroleum
Geologists. All Rights Reserved.
Well Test--Derived Effective Absolute Permeabilities in Geostatistical
Clayton V. Deutsch
Exxon Production Research
Houston, Texas, U.S.A.
André G. Journel
Department of Petroleum
In many cases, an estimate
of effective absolute permeability may be derived from a pressure-transient
well test. This effective permeability does not resolve local details of
the permeability distribution; however, it does constrain the average permeability
in the vicinity of the well. This paper presents an approach, based on
simulated annealing, that integrates well test--derived effective permeabilities
in stochastic reservoir models.
The volume and type of averaging informed
by the well test must first be calibrated by forward simulating the well
test on stochastic reservoir models that are consistent with the geological
interpretation, core, well log, and seismic data. Stochastic reservoir
models are then constructed with simulated annealing to additionally honor
the well test--derived average permeabilities.
We present an example that illustrates
how the methodology is implemented in practice. The improvement in the
stochastic reservoir models is demonstrated by more accurate and precise
prediction of future reservoir performance.
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