Book 36

This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a unified mathematical manner.
The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and electromagnetic migration.
This volume is unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.

Book 41

This self-contained monograph gives a thorough introduction to the theory of gravity which is used as the basis for developing applications in exploration and geodesy. In addition, a survey of gravity instrumentation is given, with emphasis on the theory of underlying these instruments. The book finishes with an exposition of forward modeling and inverston, again emphasizing fundamental principles.

Book 44

This title covers the physical and mathematical principles of electric methods in applied geophysics.

Book 45

Principles of Electromagnetic Methods in Surface Geophysics contains information about the theory of electromagnetic fields in a conducting media. It describes the theoretical and physical principles of the main geophysical methods using electromagnetic fields, including frequency and transient soundings, electromagnetic profiling, and magnetotelluric soundings. Special attention is paid to models and signal processing methods used in modern exploration geophysics for groundwater, mineral and hydrocarbon exploration.

v. 43

In this book the author presents the state-of-the-art electromagnetic (EM)
theories and methods employed in EM geophysical exploration.
The book brings together the fundamental theory of EM fields and the practical
aspects of EM exploration for mineral and energy resources.
This text is unique in its breadth and completeness in providing an
overview of EM geophysical exploration technology.


The book is divided into four parts covering the foundations of EM
field theory and its applications, and emerging geophysical methods.

Part I is an introduction to the field theory required for baseline
understanding.

Part II is an overview of all the basic elements of
geophysical EM theory, from Maxwell's fundamental equations to modern
methods of modeling the EM field in complex 3-D geoelectrical formations.

Part III deals with the regularized solution of ill-posed
inverse electromagnetic problems, the multidimensional migration and imaging of
electromagnetic data, and general interpretation techniques.

Part IV describes major geophysical electromagnetic methods-direct current (DC), induced polarization (IP), magnetotelluric
(MT), and controlled-source electromagnetic (CSEM) methods-and covers
different applications of EM methods in exploration geophysics, including
minerals and HC exploration, environmental study, and crustal study.


v.31

This volume deals with electrical methods as used in applied geophysics. There are 14 chapters. The first four chapters comprise a handbook of information needed in applied electrical geophysics. The next three chapters deal with three standard techniques: Direct Current (DC), Magnetotelluric (MT) and Controlled-Source Electromagnetic (EM) methods. Chapters 8-11 develop important aspects of the subject which are common to all three standard techniques. These common aspects include ambiguity and insensitivity, data acquisition, modelling and simulation, and interpretation. Chapters 12 and 13 cover experience with electrical methods in the solution of a wide variety of practical problems.


Induction well logging is a method for measuring the electrical conductivity of the rock around a borehole, with this information in turn being used to estimate the content of oil or gas in the rock. Since the development of induction well logging in the late 1940s, it has become the standard method used, primarily because of its simplicity of design. Now, 40 years later, and with the availability of new technology both in tool construction and in mathematical analysis, this book examines our understanding of induction logging in mathematical detail, and suggests how to develop more useful applications. The first part of the book reviews the theoretical basis of the electromagnetic methods for determining earth conductivity. All such methods are based fundamentally on Maxwell's equations. In practice, however, induction well logging is based on end-state behaviour for electromagnetic fields at low frequencies. Thus, the wave equation is developed for the extreme, low frequency condition, which produces many specific algebraic results of use in equipment design.