In this book, we will delve into the mathematical world of seismic exploration, considering methods for constructing subsurface images from the standpoint of the geometrical theory of imaging, as well as methods for estimating geological-medium parameters...
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In this book, we will delve into the mathematical world of seismic exploration, considering methods for constructing subsurface images from the standpoint of the geometrical theory of imaging, as well as methods for estimating geological-medium parameters by solving inverse kinematic and dynamic problems.
Using Fermat’s principle, formulas for traveltime fields are derived. These formulas will help us gain a deeper understanding of the essence of the Common Depth Point (CDP) method and of ways to determine velocity from seismic data.
Let us consider how interference can be suppressed by focusing over large apertures. This will allow us to better understand how interference-suppression methods work.
We will discuss how velocity can be determined from seismic data. The main factor affecting the relationship between stacking velocity and velocity in the medium is the horizontal variation of velocity in the medium. We will derive the Lynn equation, which will help us determine velocitie
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