The geological interpretation of gravity gradiometry data is a very challenging problem. While maps of different gravity gradients may be correlated with geological structures present, maps alone cannot quantify 3D density distributions related to geological structures. 3D inversion represents the only practical tool for the quantitative interpretation of gravity gradiometry data. However, 3D i...

We prove an analogue of the jump inversion theorem for the semilattices of Σ-degrees of structures. As a corollary, we get similar result for the semilattices of degrees of presentability of countable structures.

This research introduces a new method for functional brain imaging via a process of model inversion. By estimating parameters of a computational model, we are able to track effective connectivity and mean membrane potential dynamics that cannot be directly measured using electrophysiological measurements alone. The ability to track the hidden aspects of neurophysiology will have a profound impa...

There is growing interest in developing a three-dimensional (3-D) inversion and imaging technique from a single borehole. This problem can be solved by using tensor (multi-component) induction welllogging – TIWL. This method was originally introduced to resolve formation anisotropy. However, it was demonstrated in several publications that the TIWL instrument has sensitivity to 3-D conductivity...

Abstract Shallow geological imaging structures often play an essential role in the field of environmental and engineering geophysics. Early arrival waveform inversion (EWI) is high-resolution method to near-surface structures. We proposed a joint envelope based on curvelet transform (CJWEI) build shallow By taking advantage their complementary sensitivities structure, we can constrain both low-...

In this note we provide a negative solution to the ω-jump inversion problem for degree spectra of structures.

A multireference second-order perturbation theory is applied to calculate equilibrium structures and vibrational frequencies of trans-azobenzene in the ground and nπ* excited states, as well as the reaction pathways for rotation and inversion mechanism in the nπ* excited state. It is found that the NN stretching frequency exhibits a slight increase at the minimum energy structure in the nπ* sta...

The interpretation of potential and electromagnetic fields observed over 3D geological structures remains one of the most challenging problems of exploration geophysics. In this paper I present an overview of novel methods of inversion and imaging of gravity and electromagnetic data, which are based on new advances in the regularization theory related to the application of special stabilizing f...