Need for a Large-N Array (and Wavelets and Differences) to Determine the Assumption-free 3-D Earth Model

Authors

Solymar Ayala Cortez, The University of Texas at El PasoFollow
Aaron A. Velasco, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

9-2017

Comments

Technical Report: UTEP-CS-17-87

To appear in Journal of Uncertain Systems

Abstract

One of the main objectives of geophysical seismic analysis is to determine the Earth's structure. Usually, to determine this structure, geophysicists supplement the measurement results with additional geophysical assumptions. An important question is: when is it possible to reconstruct the Earth's structure uniquely based on the measurement results only, without the need to use any additional assumptions? In this paper, we show that for this, one needs to use large-N arrays -- 2-D arrays of seismic sensors. To actually perform this reconstruction, we need to use differences between measurements by neighboring sensor and we need to apply wavelet analysis to the corresponding seismic signals.