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Published 1974 | Published
Journal Article Open

A New Algorithm for Automatic History Matching


History-matching problems, in which reservoir parameters arc to be estimated from well pressure data, are formulated as optimal control problems. The necessary conditions for optimality lead naturally to gradient optimization methods for determining the optimal parameter estimates. The key feature of the approach is that reservoir properties are considered as continuous functions of position rather than as uniform in a certain number of zones. The optimal control approach is illustrated on a hypothetical reservoir and on an actual Saudi Arabian reservoir, both characterized by single-phase flow. A significant saving in computing time over conventional constant-zone gradient optimization methods is demonstrated.

Additional Information

Original manuscript received in Society of Petroleum Engineers office July 3, 1973. Revised manuscript received May 30, 1974, Paper (SPE 4545) was first presented at the SPE-AIME 48th Annual Fall Meeting, held in Las Vegas, Nev., Sept. 30-0ct. 3, 1973. Copyright 1974 American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. This work was supported in part by a grant from the Chevron Oil Field Research Co. Acknowledgment is given to Aramco for permission to publish the results of the Saudi Arabian reservoir study.

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August 19, 2023
October 16, 2023