Numerical approximation of electromagnetic signals arising in the evaluation of geological formations

The integration of complicated oscillatory functions arises in computational electromagnetics when evaluating signals produced by the propagation of electromagnetic radiation through the anisotropic layers of a geological formation. The computation of exact integrals involves the evaluation of Sommerfeld integrals. The matrix pencil method is used for the numerical approximation of such signals. Numerical results show accuracy and robustness of the method for the approximation of these signals, and efficiency in their numerical integration. Sampling frequency is discussed and numerical efficiency is improved by down-sampling. Key words: Sommerfeld Integrals, Matrix pencil method, Signal approximation, Layers potential integration, Geological formations, Borehole 2000 MSC: 65D15, 65F15, 65D20, 86A60

• Type: Journal
• Year: 2010
• Where: CMA
• Authors: Alexandre Caboussat, G. K. Miers
• Keywords: CMA 2010, Distributed And Parallel Computing, Geological Formations, Matrix Pencil Method, Sommerfeld Integrals