It is important to precisely know the whole time history of various types of fault slip events to understand the physics of earthquake generation. We develop a new time dependent inversion method for imaging transient fault slips from geodetic data. Past studies employed a linear Gaussian state space model and applied Kalman filter. The Kalman filter based methods, however, do not allow any var...

Space-borne X-band synthetic aperture radars (SARs) provide a unique opportunity to measure rainfall over land with unsurpassed spatial resolution of about few hundred meters. This work explores the potential of space-borne X-SARs to estimate rainfall over land from both a model and retrieval point of view. The main objective is to provide a framework for a physically-based inversion of SARs me...

Multiple problems, including high computational cost, spurious local minima, and solutions with no geologic sense, have prevented widespread application of full waveform inversion (FWI), especially FWI of seismic reflections. These problems are fundamentally related to a large number of model parameters and to the absence of low frequencies in recorded seismograms. Instead of inverting for all ...