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In this chapter, we will introduce and discuss the basic formulation of the history-matching problem. We start by presenting a brief historical summary of the development of the formulation of the history matching problem. Then, we introduce the fundamental assumption of a Gaussian prior and likelihood and connect the standard formulation of a quadratic cost function to Bayes’ theorem. Finally, we discuss some possible methods for solving this problem.

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Formulating the History-Matching Problem

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2026年

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  • Geir Evensen,
  • Dean S. Oliver,
  • Remus G. Hanea

摘要

In this chapter, we will introduce and discuss the basic formulation of the history-matching problem. We start by presenting a brief historical summary of the development of the formulation of the history matching problem. Then, we introduce the fundamental assumption of a Gaussian prior and likelihood and connect the standard formulation of a quadratic cost function to Bayes’ theorem. Finally, we discuss some possible methods for solving this problem.