W. H. CHEN G. R. GAVALAS J. H. SEINFELD M. L. WASSERMAN 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 properti...

Abstract It is common to formulate the history-matching problem using Bayes’ theorem. From Bayes’, conditional probability density function (pdf) of uncertain model parameters proportional prior pdf parameters, multiplied by likelihood measurements. The static are random variables characterizing reservoir while observations include, e.g., historical rates oil, gas, and water produced from wells...

Reservoir simulation is ubiquitous in the petroleum industry, and conditioning models to production data (history matching) has become an essential job of reservoir engineers. Traditional history matching methods directly perturb reservoir properties without regard to the existing geological continuity. When the geological heterogeneity is destroyed, the result is often a history-matched model ...