Inverse Theory Studies

Lead PI: Dr. William H Menke

Unit Affiliation: Seismology, Geology and Tectonophysics, Lamont-Doherty Earth Observatory (LDEO)

January 1986 - December 2022
Project Type: Research

DESCRIPTION: I have a long term interest in "geophysical inverse theory", the process of taking data (such as observations of seismic waves) and turning them into images of the interior of the earth. I am interested in all aspects of the subject, including theory and applications. I am the author of a well-cited textbook, on the subject, now in its fourth edition.

OUTCOMES: Various theoretical results and improvements to data processing algorithms. An example is the "cross-convolution" technique that Vadim Levin and I invented, which has gained inportance in the interpretation of receiver functiona nd shear wave splitting data.


Zachary Eilon, Daniel Blatter, Ge Jin, Vadim Levin


Department of Earth and Environmental Sciences (DEES)


Rutgers University



Menke, W. and D. Blatter, Trade-off of resolution and variance computed from ensebles of solutions, with application to Markov Chain Monte Carlo Methods, Geophys. J. Int. 218, 1522-1536, 2019.

Menke, W., Construction of Equivalent Functions in Anisotropic Radon Tomography, Applied Mathematics 10, 1, 2019.

Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, Fourth Edition (Textbook), Elsevier, pp 350, 2018, ISBN: 9780128135556.

Menke, W., Sensitivity Kernels for the Cross-Convolution Measure, Bull. Seism. Soc. Am. 107, 2213-2224, doi: 10.1785/0120170045, 2017.

Menke, W., The uniqueness of single data function, multiple model functions, inverse problems including the Rayleigh wave dispersion problem, PAGEOPH 174, 1699-1710, 2017.


adjoint methods time series analysis inverse theory monte carlo methods cross-convolution method tomography geotomography uniqueness variance


Earth fundamentals