Automatic history matching considering surrogate-based optimization and Karhunen-Loeve expansions

作者：de Lira Jose Dasio Jr^*; Willmersdorf Ramiro B; Afonso Silvana M B; Horowitz Bernardo

来源：Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2014, 36(4): 919-928.

DOI：10.1007/s40430-014-0128-0

• History matching
• Reservoir simulation
• Optimization
• Surrogate models
• Karhunen-Loeve

In oil reservoir engineering one stage of great interest is the production history matching process, in which the numerical model is adjusted to reproduce the observed field production. The objective is to find the model parameters which minimize the difference between calculated and observed fluid production rates. However, the consideration of the rock properties along every cell of the numerical model that represents the reservoir as design variables would lead to an unfeasible large number of variables and consequently, a very difficult problem to be solved. To overcome that, we will assume that the permeability field will be stochastic and represented by a spectral decomposition through the Karhunen-Loeve expansion (KLE). In this work both linear and nonlinear forms for KLE expansions will be investigated. The mathematical formulation of this problems leads to non-smooth and high-cost objective functions leading to a difficult problem to be tackled. To overcome that, surrogate models are built and incorporated in a sequential optimization strategy. Results are presented and the potential of the developed tool is discussed.

• 出版日期2014-10