Geophone sensitivities for Chebyshev optimized arrays

Abstract

In 1963 Holzman published a theoretical analysis on so‐called Chebyshev optimized geophone arrays, i.e., geophone patterns whose reject band response has lobes of equal amplitude. For equidistant geophones in a linear array, this reject band response can be realized only if the geophone sensitivities are suitably weighted. One of the results of Holzman’s paper is a method for computing weights (relative sensitivities) for the geophones to achieve this desired reject band behavior (here, for simplicity, the term “geophone” is used in a generic sense for any seismic source and receiver).