On the Continuation of Solutions of the Equations of Elasticity by Reflection


Book Description

It is shown that solutions of the equations of elasticity may be continued by reflection across a spherical boundary whenever an arbitrary linear combiation of the normal displacement and normal surface traction and an arbitrary linear combination of tangential displacements and tangential surface tractions vanish on the spherical surface.




Reflection Principles for Solutions of Equations in Elasticity


Book Description

This paper establishes certain reflection principles (analogous to the classical Schwarz reflection principle for harmonic functions) for biharmonic functions which arise as solutions of equations in elasticity.










Duke Mathematical Journal


Book Description

Without specializing in a small number of subject areas, this journal emphasizes the most active and influential areas of current mathematics.




AFOSR.


Book Description










Reflection Seismology


Book Description

Authored by a geophysicist with more than 50 years of experience in research and instruction, Reflection Seismology: Theory, Data Processing and Interpretation provides a single source of foundational knowledge in reflection seismology principles and theory.Reflection seismology has a broad range of applications and is used primarily by the oil and gas industry to provide high-resolution maps and build a coherent geological story from maps of processed seismic reflections. Combined with seismic attribute analysis and other exploration geophysics tools, it aids geologists and geo-engineers in creating geological models of areas of exploration and extraction interest. Yet as important as reflection seismology is to the hydrocarbon industry, it’s difficult to find a single source that synthesizes the topic without having to wade through numerous journal articles from a range of different publishers. This book is a one-stop source of reflection seismology theory, helping scientists navigates through the wealth of new data processing techniques that have emerged in recent years. Provides geoscientists and geo-engineers with a theoretical framework for navigating the rapid emergence of new data processing techniques Presents a single source of reflection seismology content instead of a scattering of disparate journal articles Features more than 100 figures, illustrations, and working examples to aid the reader in retaining key concepts Arms geophysicists and geo-engineers with a solid foundation in seismic wave equation analysis and interpretation