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Chapter from: CA 3: Stochastic Modeling and Geostatistics 
Edited by 
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.

Chapter 12

Integrating Well Test--Derived Previous HitEffectiveNext Hit Absolute Permeabilities in Geostatistical Reservoir Modeling

Clayton V. Deutsch
Exxon Production Research Company
Houston, Texas, U.S.A.
André G. Journel
Department of Petroleum Engineering
Stanford University
Stanford, California, U.S.A.


In many cases, an estimate of Previous HiteffectiveNext Hit absolute permeability may be derived from a pressure-transient well test. This Previous HiteffectiveNext Hit 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 Previous HiteffectiveTop 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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