Inverse Problems and Data Assimilation in Earth Sciences

doi:10.1017/9781009180412.002

1 - Inverse Problems and Data Assimilation in Earth Sciences

from Part I - Introduction

Published online by Cambridge University Press: 20 June 2023

Dylan Jones and

Edited by

Dylan Jones and

Alik Ismail-Zadeh: Affiliation:
Karlsruhe Institute of Technology, Germany
Fabio Castelli: Affiliation:
Università degli Studi, Florence
Dylan Jones: Affiliation:
University of Toronto
Sabrina Sanchez: Affiliation:
Max Planck Institute for Solar System Research, Germany

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Summary

Abstract: We introduce direct and inverse problems, which describe dynamical processes causing change in the Earth system and its space environment. A well-posedness of the problems is defined in the sense of Hadamard and in the sense of Tikhonov, and it is linked to the existence, uniqueness, and stability of the problem solution. Some examples of ill- and well-posed problems are considered. Basic knowledge and approaches in data assimilation and solving inverse problems are discussed along with errors and uncertainties in data and model parameters as well as sensitivities of model results. Finally, we briefly review the book’s chapters which present state-of-the-art knowledge in data assimilation and geophysical inversions and applications in many disciplines of the Earth sciences: from the Earth’s core to the near-Earth environment.

Keywords

data assimilation inverse problem direct problem well-posed problem ill-posed problem

Type: Chapter
Information: Applications of Data Assimilation and Inverse Problems in the Earth Sciences , pp. 3 - 8

DOI: https://doi.org/10.1017/9781009180412.002 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2023

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