Semiclassical inverse spectral problem for seismic surface waves in isotropic media: part II. Rayleigh waves. (17th June 2020)

• Record Type: Journal Article
• Authors: de Hoop, Maarten V; Iantchenko, Alexei; van der Hilst, Robert D; Zhai, Jian
• Is Part Of: Inverse problems. Volume 36:Number 7(2020)
• Publication Date: 2020-06-17
• Subjects: inverse spectral problem -- semiclassical analysis -- elastic surface waves; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ab8447
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [5 ] to Rayleigh waves. Under certain conditions, and assuming that the Poisson ratio is constant, we establish uniqueness and present a reconstruction scheme for the S-wave speed with multiple wells from the semiclassical spectrum of these waves.