A hybrid method for inversion of 3D AC resistivity logging measurements

作者：Smolka Maciej; Gajda Zagorska Ewa; Schaefer Robert; Paszynski Maciej^*; Pardo David

来源：Applied Soft Computing, 2015, 36: 442-456.

DOI：10.1016/j.asoc.2015.06.055

• Hierarchic genetic strategy
• Inverse problem
• Hybrid method

In this paper, we propose the use of a hybrid algorithm for the inversion of 3D Alternate Current (AC) resistivity logging measurements. The forward problem is solved using a goal-oriented self-adaptive hp-Finite Element Method (hp-FEM) that provides exponential convergence of the numerical error with respect to the mesh size. The inverse problem is solved using a Hierarchical Genetic Search (HGS) coupled with a Broyden-Fletcher-Goldfar-Shanno (BFGS) method. Individuals from the genetic populations represent the resistivity of the formation layers. The fitness function is estimated based on hp-FEM results. The hybrid method controls the accuracy of evaluation of particular individuals, as well as the accuracy of the genetic coding. After finding those regions where the fitness function has small values, the local search method by means of BFGS algorithm is executed. The paper is concluded with numerical results for the hybrid algorithm.

• 出版日期2015-11