A linear inversion scheme applied to magnetotelluric observations from Charlevoix Crater, Quebec.

Regularization analysis of three-dimensional magnetotelluric inversion

Inversion of MT data is an inherently nonunique and unstable problem due to the ill-posedness of the electromagnetic inverse problem. A variety of models may fit the data very well. To overcome this illposed nature of the inverse problem, we use Tikhonov’s regularization in which the ill-posed problem is replaced by a family of well-posed problems. We also analyze the behavior of the Tikhonov r...

Magnetotelluric inversion for 2D anisotropic conductivity structures

We report on progress in developing a magnetotelluric inversion method for two-dimensional anisotropic conductivity distribution. A standard two-dimensional model is discretized into a number of rectangular cells, each with a constant conductivity tensor, and the solution of the inverse problem is obtained by minimizing a global objective functional consisting of data misfit, a structural const...

Exergy Optimization Applied to Linear Parabolic

A new method of optimization on linear parabolic solar collectors using exergy analysis is presented. A comprehensive mathematical modeling of thermal and optical performance is simulated and geometrical and thermodynamic parameters were assumed as optimization variables. By applying a derived expression for exergy efficiency, exergy losses were generated and the optimum design and operating co...

Magnetotelluric Tensor Decomposition: Insights from Linear Algebra and Mohr Diagrams

Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion

We investigate a new algorithm for computing regularized solutions of the 2-D magnetotelluric inverse problem. The algorithm employs a nonlinear conjugate gradients (NLCG) scheme to minimize an objective function that penalizes data residuals and second spatial derivatives of resistivity. We compare this algorithm theoretically and numerically to two previous algorithms for constructing such “m...