An invertible discrete Zernike transform, DZT is proposed and implemented. Three types of non-redundant samplings, random, hybrid (perturbed deterministic) and deterministic (spiral) are shown to provide completeness of the resulting sampled Zernike polynomial expansion. When completeness is guaranteed, then we can obtain an orthonormal basis, and hence the inversion only requires transposition...

An experimental study of the phase inversion behavior of liquid-liquid dispersion has been conducted in a spray extraction column for systems of toluene / water, n-hexane/water, CCl4/water, toluene /water + glycerol (25 % wt), toluene + CCl4 (25 % wt) / water and toluene / acetic acid (5 % wt)/water. The effects of physical properties, mass transfer and column geometry...

The inversion of time domain electromagnetic (TDEM) data is an ill-posed problem. This makes the standard procedure, which to linearize related objective function. Then take a deterministic approach determine solution that can minimize said function, has potential be trapped in local minimum. In this study, we solved problem TDEM using Bayesian framework by generating sample from posterior dist...

generally, the measured secondary field data is inverted into resistivity using two principal models; the homogeneous half-space model and the layered half-space model. while the homogeneous half-space inversion uses single frequency data, the inversion is done individually for each of the frequencies used, the multi-layer 1d inversion is able to take the data of all frequencies available into ...

A novel direct probabilistic inversion using seismic pre-stack data as input to characterize a wedged chalk reservoir prospect was demonstrated from the Upper Cretaceous unit, Danish North Sea. The objective better resolve lateral extent and pinch-out of in frontier exploration setting compare results with more traditional deterministic geostatistical modeling. provided additional insights that...

Abstract A growing interest in small body exploration has motivated research into the rapid characterization of near-Earth objects to meet economic or scientific objectives. Specifically, knowledge internal density structure can aid with target selection and enables an understanding prehistoric planetary formation be developed. To this end, multi-layer extensions polyhedral gravity model are su...

This research successfully extends a deterministic, physically-based inverse theory that is capable of simultaneous parameter and boundary condition estimation to uncertainty quantification in inverting steady-state groundwater flow in a two-dimensional aquifer with facies heterogeneity. Using facies and dynamic flow measurements sampled at wells as observations, a stochastic subsurface data in...

Inversion of magnetic data is an important step towards interpretation of the practical data. Smooth inversion is a common technique for the inversion of data. Physical bound constraint can improve the solution to the magnetic inverse problem. However, how to introduce the bound constraint into the inversion procedure is important. Imposing bound constraint makes the magnetic data inversion a n...

In this paper, we studied effect of different parameters including density, viscosity, interfacial tension and solute transfer concentration on phase inversion hold-up. The results showed that change in phase density ratio had no effect on phase inversion hold-up. It also disclosed that the phase viscosity ratio was the most effective parameter affecting phase inversion hold-up and each phase h...