Mass conservative three-dimensional water tracer distribution from Markov chain Monte Carlo inversion of time-lapse ground-penetrating radar data

Time-lapse geophysical measurements are widely used to monitor the movement of water and solutes through the subsurface. Yet commonly used deterministic least squares inversions typically suffer from relatively poor mass recovery, spread overestimation, and limited ability to appropriately estimate nonlinear model uncertainty. We describe herein a novel inversion methodology designed to reconstruct the three-dimensional distribution of a tracer anomaly from geophysical data and provide consistent uncertainty estimates using Markov chain Monte Carlo simulation. Posterior sampling is made tractable by using a lower-dimensional model space related both to the Legendre moments of the plume and to predefined morphological constraints. Benchmark results using cross-hole ground-penetrating radar travel times measurements during two synthetic water tracer application experiments involving increasingly complex plume geometries show that the proposed method not only conserves mass but also provides better estimates of plume morphology and posterior model uncertainty than deterministic inversion results.

Reliure de : Joannis Francisci Pici Mirandulae,... Liber de providentia Dei contra philosophastros. - ("A la fin" :) Anno a partu Virginis M.D.VIII, no. novembris, in suburbio Novi... librum hunc... Benedictus Dulcibellus Mangius Carpensis exscripsit, stamneis usus calamis...

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Geometría del margen S.E. de la Cuenca del Ebro: discordancias progresivas en el Grupo Scala Dei, Serra de la Llena (Tarragona)

El Grupo Scala Dei, localizado en el margen meridional oriental de la cuenca del Ebro, representa la respuesta sedimentaria a los cabalgamientos desarrollados en las Cadenas Costeras Catalanas. En la Serra de la Llena los 1600 m de materiales aluviales se organizan en cuatro megasecuencias principales (M,-M,) separadas por discordancias angulares. Los nuevos datos paleomastológicos indican un influjo de materiales terrígenos gruesos durante un período que abarca desde un Luteciense superior-Bartoniense en la base, hasta un Catiense medio-superior. La sedimentación en la Serra del Montsant continua hasta la parte media del Catiense superior. La tasa media de acumulación (expresada en términos de centímetros cada mil años- kilo años- K. a,), en la Serra de la Llena, es de 13 crn1K.a. para la megasecuencia inferior (M,), de 7,5 cm/ K.a. para M,-M, y de 6 cm /K.a. para la última y mas fina (M,). La disposición general de los depósitos de la Serra de la Llena con una doble flexión monoclinal buzante al NW indica un control tectónico de la deposición mediante dos estructuras diferentes en profundidad. Las discordancias progresivas desarrolladas en los anteflancos de los anticlinales indican una moción continuada, así como un equilibrio entre la tasa de levantamiento vertical y la tasa de acumulación de sedimentos. Las discordancias progresivas se han desarrollado principalmente en función de la componente tectónica vertical y por la rotación continuada del flanco de antepaís de los anticlinales.

Critical behavior of a system with orientational and positional degrees of freedom: A Monte Carlo simulation study

The critical behavior of a system constituted by molecules with a preferred symmetry axis is studied by means of a Monte Carlo simulation of a simplified two-dimensional model. The system exhibits two phase transitions, associated with the vanishing of the positional order of the center of mass of the molecules and with the orientational order of the symmetry axis. The evolution of the order parameters and the specific heat is also studied. The transition associated with the positional degrees of freedom is found to change from a second-order to a first-order behavior when the two phase transitions are close enough, due to the coupling with the orientational degrees of freedom. This fact is qualitatively compared with similar results found in pure liquid crystals and liquid-crystal mixtures.

Monte Carlo study of the relation between vacancy diffusion and domain growth in two-dimensional binary alloys

Domain growth in a two-dimensional binary alloy is studied by means of Monte Carlo simulation of an ABV model. The dynamics consists of exchanges of particles with a small concentration of vacancies. The influence of changing the vacancy concentration and finite-size effects has been analyzed. Features of the vacancy diffusion during domain growth are also studied. The anomalous character of the diffusion due to its correlation with local order is responsible for the obtained fast-growth behavior.

Monte Carlo simulation of interface alloying

An Ising-like model, with interactions ranging up to next-nearest-neighbor pairs, is used to simulate the process of interface alloying. Interactions are chosen to stabilize an intermediate "antiferromagnetic" ordered structure. The dynamics proceeds exclusively by atom-vacancy exchanges. In order to characterize the process, the time evolution of the width of the intermediate ordered region and the diffusion length is studied. Both lengths are found to follow a power-law evolution with exponents depending on the characteristic features of the model.

Monte Carlo Study of the Growth of L12 ordered domains in fcc A3B binary alloys

A Monte Carlo study of the late time growth of L12-ordered domains in a fcc A3B binary alloy is presented. The energy of the alloy has been modeled by a nearest-neighbor interaction Ising Hamiltonian. The system exhibits a fourfold degenerated ground state and two kinds of interfaces separating ordered domains: flat and curved antiphase boundaries. Two different dynamics are used in the simulations: the standard atom-atom exchange mechanism and the more realistic vacancy-atom exchange mechanism. The results obtained by both methods are compared. In particular we study the time evolution of the excess energy, the structure factor and the mean distance between walls. In the case of atom-atom exchange mechanism anisotropic growth has been found: two characteristic lengths are needed in order to describe the evolution. Contrarily, with the vacancyatom exchange mechanism scaling with a single length holds. Results are contrasted with existing experiments in Cu3Au and theories for anisotropic growth.