Advanced UXO detection and discrimination using extended Euler deconvolution and multipole moments.Rapid geophysical inversion using adaptive octree, Hilbert space filling curve and wavelets.Single hole imaging using gravity gradiometry data.Extracting reservoir engineering parameters from time-lapse gravity data.Adaptive data sampling in compressive inversion.Joint and simultaneous inversion of geophysical data.Geothermal monitoring with time-lapse gravity.Interpretation of magnetic data affected by remanent magnetization and self-demganetization.Time-lapse (4D) monitoring of aquifers and reservoirs.Processing and inversion gravity gradiometry data with application to both petroleum and mineral exploration.Efficient numerical algorithms for large scale geophysical inversions.Joint inversion with petrophysical data.My recent research activity has been focused on the following areas: The newly-developed mathematical techniques such as wavelet transforms enables one to develop fast forward modeling methods for different geophysical data sets and allows one to solve inverse problems of much larger size than was possible by conventional approaches. Incorporation of prior information specific to each data set allows one to construct models that are more representative of true geology. For instance, the interior-point method that revolutionized the field of optimization provides an ideal vehicle for incorporating a multitude of prior constraints into geophysical inversions. Within the context of geophysical inversion, I have also been interested in applying recently-developed numerical techniques in the neighboring disciplines to geophysical inversions. I have been actively working on individual inversion methods as well as joint and cooperative strategies for inverting multiple sets of geophysical and geological data. My main focus has been in developing practical algorithms for inverting gravity, magnetic, DC resistivity, and induced polarization data to reconstruct three-dimensional distribution of physical properties. My research interests are in inverse theory and its application in the interpretation of geophysical data sets arising from resources exploration and production, environmental, and groundwater problems.
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