Applications of global seismic tomography and analysis of variational methods for the solution of the linearly attenuating frequency-domain wave equation.

详细信息   

• 作者：Johnson ; Stuart George.
• 学历：Doctor
• 年：1997
• 导师：Masters, T. Guy
• 毕业院校：University of California
• 专业：Geophysics.;Mathematics.;Computer Science.
• ISBN：0591757729
• CBH：9823696
• Country：USA
• 语种：English
• FileSize：6980360
• Pages：207

文摘

Two distinct undertakings are made in this dissertation. First, the use of seismic tomography to investigate the internal structure of the Earth is examined. A tomographic image of seismic shear-wave velocity variations in the Earth's solid mantle is generated. Hypothetical seismic velocity variations in the Earth's mantle are obtained from the simulation of convection in a spherical shell, and the quality of tomographic imaging thereby assessed. It is found that the convection simulation does not, in detail, produce Earth-like structure within the mantle.;The second undertaking has as its motivation an improved understanding of the relationship of seismic observables to Earth structure. The variational solutions of the linearly attenuating frequence domain wave equation (LAFDWE) are studied. Some practical guidelines pertaining to the numerical approximations resulting from these variational methods are derived. A thorough discussion of elliptic partial differential equations is included to make concise the nature of the solutions of the LAFDWE in the presence of singular sources of typical use in seismology.