← Intelligent Geophysical Exploration College

Inversion & Modeling Department

The Inversion & Modeling Department grounds students in the mathematical foundations of inverse theory and forward modeling for geophysical parameter estimation. Students implement and validate algorithms that tackle ill-posed inverse problems using optimization, regularization, and probabilistic frameworks. Graduates leave able to face a new geophysical problem and both mathematically design and computationally implement an inversion algorithm for it.

⚙️ GeoAcademy System Administration College 🖥️ AI & Computing Sciences College 🔬 Basic Sciences College ⚡ Intelligent Geophysical Exploration College 🛢️ Resource & Energy Engineering College 🌍 Applied Geoscience Solutions College 💼 Economics, Policy & Strategy for the Future College 🎓 Education & Training Development College 🚀 Innovation & International Collaboration College

Seismic Exploration & Imaging Department Gravity & Magnetic Methods Department Electromagnetic Methods Department Earthquake Seismology Department Integrated Geophysics & Interpretation Department Inversion & Modeling Department Well Logging & Petrophysics Department

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⭐ Tarantola

Chair

💡 Probabilistic Inverse Theory & Uncertainty Quantification

Researchers (real GeoVerse Lab members) 12

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1931–2014

James Freeman Gilbert

Researcher

💡 Co-developed the Backus-Gilbert method (optimally localized average) for inverting geophysical data, with George Backus

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1928–2001

Jacques-Louis Lions

Researcher

💡 Developed the mathematical theory of optimal control and the adjoint-state method for PDE-constrained optimization, the mathematical foundation of adjoint-state geophysical inversion

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1921–2009

Olgierd Zienkiewicz

Researcher

💡 Pioneered the finite element method (FEM), the standard numerical technique for solving complex forward-modeling problems in engineering and geophysics

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1915–1999

Nicholas Metropolis

Researcher

💡 Co-invented the Monte Carlo method and the Metropolis algorithm (basis of Markov chain Monte Carlo and simulated annealing) at Los Alamos

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1865–1963

Jacques Hadamard

Researcher

💡 Introduced the concept of a well-posed problem (existence, uniqueness, stability) and identified ill-posedness, the foundational concept motivating all regularization theory used in geophysical inversion

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1922–1998

Edwin Thompson Jaynes

Researcher

💡 Founded the maximum-entropy interpretation of Bayesian probability theory as a rigorous framework for inference under incomplete information

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1939–2016

Roger Fletcher

Researcher

💡 Co-developed the BFGS, DFP, and FR quasi-Newton optimization methods, the standard algorithms for large-scale nonlinear optimization used throughout geophysical inversion

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1929–2024

Sven Treitel

Researcher

💡 Co-authored the foundational finite-difference synthetic-seismogram paper (Kelly, Ward, Treitel & Alford, 1976), establishing FD wave-equation modeling as a standard geophysical tool

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1922–2015

Gene Amdahl

Researcher

💡 Formulated Amdahl's Law (1967), the fundamental limit on parallel-computing speedup, and pioneered mainframe/high-performance computer architecture at IBM

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1930–2016

Rudolf E. Kálmán

Researcher

💡 Invented the Kalman filter (1960), the standard recursive algorithm for optimal sequential estimation of dynamic systems from noisy data

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1929–2015

John Henry Holland

Researcher

💡 Invented genetic algorithms (1975), computerizing Darwinian evolution as a global optimization method used for highly nonlinear, multi-modal geophysical inverse problems

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1932–2022

Vlastislav Červený

Researcher

💡 Established the modern theory of seismic ray tracing and dynamic ray tracing in complex, inhomogeneous and anisotropic media, authoring the standard reference 'Seismic Ray Theory' (2001)