ABSTRACT

Parameter estimation is routinely used in many areas of petroleum engineering. In this chapter, we present several such applications. First, we demonstrate how multiple linear regression is employed to estimate parameters for a drilling penetration rate model. Second, we use kinetic data to estimate parameters from simple models that are used to describe the complex kinetics of bitumen low temperature oxidation and high temperature cracking reactions of Alberta oil sands. Finally, we describe an application of the Gauss-Newton method to PDE systems. In particular we present the development of an efficient automatic history matching simulator for reservoir engineering analysis.