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Russian Geology and Geophysics

2006 year, number 10

METHOD OF CONTRACTING MAPPING FOR ESTIMATING GREEN'S TRANSFER FUNCTIONS IN ELECTRICAL PROSPECTING

L.F. Moskovskaya
Sevmorgeo Association, 36 ul. Rozenshteina, St. Petersburg, 198095, Russia
Keywords: Electromagnetic field, approximation of functions, contracting mapping
Pages: 1091-1097

Abstract

The method of contracting mapping of the function space is suggested as a tool of spatial approximation of electromagnetic fields. This transformation is physically justified being associated with the dynamics of space field variation. Formulated are the basic requirements for scale transformation of the solution space. Three basic types of contracting mapping are applied to some linear-symmetry VES problems. A special algorithm is suggested for smoothness control of signals and automated filling of the space with additional reference points in intervals of strongly varying field components. The new approach allows high-performance modeling in problems that require high-density recovery of functions.