Physical Geodesy: Global Elastic Deformation of the Earth

This book aims to provide, with comprehensive detail, the fundamental theory of the Earth's global elastic deformation, as well as the associated variations of the gravity field and rotation, that the readers can thoroughly understand with little reference to other books or journal papers. Its contents belong to the essential background physics of geodesy nowadays.

The noteworthy style of this book is its inclusion of ample intermediate steps of mathematical derivations and physical interpretations of the mathematical formulae not found elsewhere. It is based on undergraduate mathematics and physics as usually taught to mathematics- or physics-heavy majors. No university-level Earth science knowledge is assumed; the most elementary is provided concisely to the depth required. Mathematics and physics above the level mentioned, notably, vector and tensor analysis, spherical harmonics, elasticity, and solid body rotation, are treated to sufficient depth for preparing the readers to understand the relevant publications on theoretical formulation. Gravity and shape of the Earth are essential for the deformation theory. Seismology relies on the theory of the elastic deformation of the Earth; the density and elastic parameters of the Earth are determined using seismic data. Therefore, gravity and seismology are also treated adequately. Specifically, the free oscillation of the Earth, which is a kind of global elastic deformation, is treated to a depth and detail rarely found in books of seismology. After all these preparations, the elastic deformation theories of the Earth tide and surface loading are developed. The formulation of the respective Love numbers, as well as their roles in the Earth rotation theory, is emphasized. Plenty of details on the methods and implementations of numerical computations are included. The topics covered are fundamental and common for theoretical geodesists devoted to studying global geophysical processes. Besides, also provided are many details on the applications of the Love numbers in the study of Earth system processes using space geodetic data, particularly, the mass transport in the atmosphere-hydrosphere-cryosphere system.

To the author’s knowledge, this is the first book in this discipline that brings mathematics, physics, theoretical modeling, methods of numerical computations, as well as applications together in such detail and depth starting from very fundamental mathematics and physics. The details of the derivations and interpretations of the mathematical formulae are expected to be valuable assets for both researchers and educators.

Jun-Yi Guo is a Professor of Teaching, Division of Geodetic Science, School of Earth Sciences, The Ohio State University. He holds a Bachelor of Engineering degree in geodesy from the Wuhan Technical University of Surveying and Mapping (now integrated into Wuhan University), China, and a Doctor of Science degree from the Catholic University of Louvain, Belgium. He is a theoretical/mathematical geodesist/geophysicist specializing in the modelling of physical systems and in physical-problem-specific methodologies of data analysis. His publications cover a wide range of topics including surface loading theory, formulation and detection of the inner core wobble, formulation of outer core flow, detection of the Slichter modes, processing of Level 1B and Level 2 data of the Gravity Recovery and Climate Experiment (GRACE) satellite mission, glacial isostatic adjustment (GIA), prediction of Earth orientation parameters (EOPs) etc. His long-term professional aspiration lies in advancing fundamental theories in geodesy and geophysics in global scale, particularly, the theory of Earth deformation, which is associated with variations of gravity and rotation of the Earth. 

Before joining The Ohio State University, he was a professor of geodesy at the Wuhan University, where he taught theoretical courses at both undergraduate and graduate levels. He wrote lecture notes of his own for the courses in “Physical Geodesy” and “Geophysics,” leading to the publication of two textbooks in Chinese. Realizing the lack of similar textbooks in the English literature, he has completely rewritten them in English and updated them to reflect recent advances. These efforts led to the publication of two textbooks by Springer entitled “Physical Geodesy: A Theoretical Introduction” and “Physical Geodesy: Global Elastic Deformation of the Earth.”