Superresolution Near-field Imaging with Surface Waves

Lei Fu, Zhaolun Liu, Gerard T. Schuster

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We present the theory for near-field superresolution imaging with surface waves and time reverse mirrors (TRMs). Theoretical formulas and numerical results show that applying the TRM operation to surface waves in an elastic half-space can achieve superresolution imaging of subwavelength scatterers if they are located less than about 1/2 of the shear wavelength from the source line. We also show that the TRM operation for a single frequency is equivalent to natural migration, which uses the recorded data to approximate the Green’s functions for migration, and only costs O(N4) algebraic operations for poststack migration compared to O(N6) operations for natural prestack migration. Here, we assume the sources and receivers are on an N × N grid and there are N2 trial image points on the free surface. Our theoretical predictions of superresolution are validated with tests on synthetic data. The field-data tests suggest that hidden faults at the near surface can be detected with subwavelength imaging of surface waves by using the TRM operation if they are no deeper than about 1/2 the dominant shear wavelength.
Original languageEnglish (US)
Pages (from-to)1111-1122
Number of pages12
JournalGeophysical Journal International
Volume212
Issue number2
DOIs
StatePublished - Oct 24 2017

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