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Data-Driven Numerical Modelling in Geodynamics: Methods and Applications

  • Book
  • © 2016

Overview

Authors:
  1. Alik Ismail-Zadeh

    1. Institute of Applied Geosciences, Karlsruhe Institute of Technology, Karlsruhe, Germany

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  2. Alexander Korotkii

    1. Russ. Academy of Sciences, Inst of Mathematics and Mechanics, Yekaterinburg, Russia

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    You can also search for this author in PubMed   Google Scholar

  3. Igor Tsepelev

    1. Institute of Mathematics and Mechanics, Russian Academy of Sciences, Yekaterinburg, Russia

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: SpringerBriefs in Earth Sciences (BRIEFSEARTH)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 1-10

  3. Backward Advection Method and Its Application to Modelling of Salt Tectonics

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 11-21

  4. Variational Method and Its Application to Modelling of Mantle Plume Evolution

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 23-39

  5. Application of the Variational Method to Lava Flow Modelling

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 41-58

  6. Quasi-Reversibility Method and Its Applications

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 59-82

  7. Application of the QRV Method to Modelling of Plate Subduction

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 83-99

  8. Comparison of Data Assimilation Methods

    • Alik Ismail-Zadeh, Alexander Korotkii, Igor Tsepelev
    Pages 101-105
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Keywords

About this book

This book describes the methods and numerical approaches for data assimilation in geodynamical models and presents several applications of the described methodology in relevant case studies. The book starts with a brief overview of the basic principles in data-driven geodynamic modelling, inverse problems, and data assimilation methods, which is then followed by methodological chapters on backward advection, variational (or adjoint), and quasi-reversibility methods. The chapters are accompanied by case studies presenting the applicability of the methods for solving geodynamic problems; namely, mantle plume evolution; lithosphere dynamics in and beneath two distinct geological domains – the south-eastern Carpathian Mountains and the Japanese Islands; salt diapirism in sedimentary basins; and volcanic lava flow. 


Applications of data-driven modelling are of interest to the industry and to experts dealing with geohazards and risk mitigation. Explanation of the sedimentary basin evolution complicated by deformations due to salt tectonics can help in oil and gas exploration; better understanding of the stress-strain evolution in the past and stress localization in the present can provide an insight into large earthquake preparation processes; volcanic lava flow assessments can advise on risk mitigation in the populated areas. The book is an essential tool for advanced courses on data assimilation and numerical modelling in geodynamics.

Authors and Affiliations

  • Institute of Applied Geosciences, Karlsruhe Institute of Technology, Karlsruhe, Germany

    Alik Ismail-Zadeh

  • Russ. Academy of Sciences, Inst of Mathematics and Mechanics, Yekaterinburg, Russia

    Alexander Korotkii

  • Institute of Mathematics and Mechanics, Russian Academy of Sciences, Yekaterinburg, Russia

    Igor Tsepelev

About the authors

Alik Ismail-Zadeh is a Chief Scientist / Research Professor of the Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences (RusAS) at Moscow, Russia, and a Senior Scientist at the Institute of Applied Geosciences, Karlsruhe Institute of Technology, Germany. He graduated from the Baku State and Lomonossov Moscow State Universities (mathematics and physics) and received his PhD and Doctor of Science degrees (in geophysics) from RusAS. He has been lecturing on computational geodynamics at the University of Karlsruhe, Abdus Salam International Center for Theoretical Physics in Trieste, and Moscow State University of Oil and Gas, and working as visiting scholar/professor in the universities of California (UCLA), Cambridge, Paris (IPGP), Stockholm (KTH), Tokyo, Trieste, and Uppsala. His scientific interests cover studies of the crust and mantle dynamics, basin evolution, salt tectonics, and seismic hazard through theoretical analysis and numerical modelling. He is an author of over 100 peer-reviewed papers and four books. Alik Ismail-Zadeh is an honorary fellow of the Royal Astronomical Society and has been awarded the Academia Europaea Medal, AGU International Award, and several prestigious fellowships including Alexander von Humboldt, Royal Society of London, Royal Swedish Academy of Sciences, and Russian President.


Alexander Korotkii is Head of the Department of Applied Problems of the Institute of Mathematics and Mechanics, Russian Academy of Sciences at Yekaterinburg, Russia. He graduated from Ural State University (mathematics and mechanics) and received his PhD and Doctor of Science degrees (in mathematics) from RusAS. He is also Professor in Mathematics at the Chair of Numerical Mathematics of the Ural Federal University and teach on computational methods and mathematical modeling. His scientific interests cover studies of partial differential equations, optimal control theory, systems of distributed parameters with uncertainties and conflicts, direct and inverse problems in fluid dynamics. He is an author and co-author of 80 research papers.


Igor Tsepelev is a Senior Scientist of the Department of Applied Problems of the Institute of Mathematics and Mechanics, RusAS at Yekaterinburg, Russia. He graduated from the Ural State University (mathematics and mechanics) and received his PhD in mathematics (differential equations and inverse problems) from RusAS. His scientific interests cover studies of inverse ill-posed problems, development of numerical methods for solving systems of partial differential equations and algorithms for parallel computing, and mathematical and numerical modeling in geophysics. He is an author and co-author of more than 50 research papers. 

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