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Recent progress in numerical methods and computer science allows us today to simulate the propagation of seismic waves through realistically heterogeneous Earth models with unprecedented accuracy. Full waveform tomography is a tomographic technique that takes advantage of numerical solutions of the elastic wave equation. The accuracy of the numerical solutions and the exploitation of complete waveform information result in tomographic images that are both more realistic and better resolved. This book develops and describes state of the art methodologies covering all aspects of full waveform tomography including methods for the numerical solution of the elastic wave equation, the adjoint method, the design of objective functionals and optimisation schemes. It provides a variety of case studies on all scales from local to global based on a large number of examples involving real data. It is a comprehensive reference on full waveform tomography for advanced students, researchers and professionals.

Earth -- Internal structure -- Mathematical models. --- Seismic tomography. --- Seismic waves. --- Physics --- Geology --- Physical Sciences & Mathematics --- Earth & Environmental Sciences --- Dynamic & Structural Geology --- Cosmic Physics --- Seismic waves --- Mathematical geography. --- Mathematical models. --- Geography, Mathematical --- Waves, Seismic --- Earth sciences. --- Geophysics. --- Applied mathematics. --- Engineering mathematics. --- Earth Sciences. --- Geophysics/Geodesy. --- Geophysics and Environmental Physics. --- Applications of Mathematics. --- Earth Sciences, general. --- Geography --- Astronomical geography --- Geodesy --- Geographical positions --- Elastic waves --- Physical geography. --- Mathematics. --- Geography. --- Cosmography --- Earth sciences --- World history --- Math --- Science --- Geosciences --- Environmental sciences --- Physical sciences --- Engineering --- Engineering analysis --- Mathematical analysis --- Geological physics --- Terrestrial physics --- Mathematics