Marchenko Redatuming in a Dissipative Medium: Numerical and Experimental Implementation

Abstract

In acoustics, the method of $M\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}c\phantom{\rule{0}{0ex}}h\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}k\phantom{\rule{0}{0ex}}o$ $r\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}d\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}g$, which can focus wave fields in an unknown lossless medium accessible from one side only, is powerful in helping to characterize a medium's properties accurately and efficiently. Ubiquitous dissipation of wave energy challenges the method's practical application, though. The authors develop the dissipative Marchenko method, which overcomes the lossless-medium assumption by numerically constructing a corresponding effectual medium from the double-sided scattering data measured from the actual lossy medium. This method will impact resource exploration, medical imaging, and nondestructive testing, among other fields.