Abstract
In the seismic theory of inverse scattering, the problem is to infer the shape, size, and constitutive properties of reflectors from scattering measurements recorded at or near the earth's surface. Specifically, the geophysical inverse scattering problem is concerned with the identification of the elastic parameters associated with a linear three-dimensional wave equation, which is an approximate model for the propagation of seismic waves. For the three-dimensional acoustic wave model with ideal conditions e.g., noise-free data and no limitations on array aperture and temporal bandwidth, formal solutions exist (See Gel'fand and Levitan (1951); Agranovich and Marchenko (1963); Moses (1956); Newton (1980); and Silvia and Weglein (1981)). When these ideal conditions are not met, as is the case in the actual seismic reflection experiment, some type of regularization technique must be used in order to stabilize the inversion of a certain matrix equation. This paper discusses the seismic signal processing technique of deconvolution and how it relates to the formal theory of inverse scattering.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
