Orientation-based Continuum Damage Models for Rocks

A general formulation of the Helmholtz free energy used in thermodynamics of damage process of rocks is derived within a multi-scale framework. Such a physically-based thermodynamic state potential has a hybrid, discrete/continuum, nature in the sense tha

Identifying and interpreting stratification in sedimentary rocks on Mars : insight from Rover and orbital observations and terrestrial field analogs

Sedimentary rocks on Mars provide insight into past aqueous and atmospheric processes, climate regimes, and potential habitability. The stratigraphic architecture of sedimentary rocks on Mars is similar to that of Earth, indicating that the processes that govern deposition and erosion on Mars can be reasonably inferred through reference to analogous terrestrial systems. This dissertation aims to understand Martian surface processes through the use of (1) ground-based observations from the Mars Exploration Rovers, (2) orbital data from the High Resolution Imaging Science Experiment onboard the Mars Reconnaissance Orbiter, and (3) the use of terrestrial field analogs to understand bedforms and sediment transport on Mars. Chapters 1 and 2 trace the history of aqueous activity at Meridiani Planum, through the reconstruction of eolian bedforms at Victoria crater, and the identification of a potential mudstone facies at Santa Maria crater. Chapter 3 uses Terrestrial Laser Scanning to study cross-bedding in pyroclastic surge deposits on Earth in order to understand sediment transport in these events and to establish criteria for their identification on Mars. The final chapter analyzes stratal geometries in the Martian North Polar Layered Deposits using tools for sequence stratigraphic analysis, to better constrain past surface processes and past climate conditions on Mars.

Probing the thermodynamic properties of mantle rocks in solid and liquid states

Our understanding of the structure and evolution of the deep Earth is strongly linked to knowledge of the thermodynamic properties of rocky materials at extreme temperatures and pressures. In this thesis, I present work that helps constrain the equation of state properties of iron-bearing Mg-silicate perovskite as well as oxide-silicate melts. I use a mixture of experimental, statistical, and theoretical techniques to obtain knowledge about these phases. These include laser-heated diamond anvil cell experiments, Bayesian statistical analysis of powder diffraction data, and the development of a new simplified model for understanding oxide and silicate melts at mantle conditions. By shedding light on the thermodynamic properties of such ubiquitous Earth-forming materials, I hope to aid our community’s progress toward understanding the large-scale processes operating in the Earth’s mantle, both in the modern day and early in Earth’s history.

I. Impact spallation experiments: fracture patterns and spall velocities. II. Craters in carbonate rocks: an electron paramagnetic resonance analysis of shock damage

This work is divided into two independent papers.

PAPER 1.

Spall velocities were measured for nine experimental impacts into San Marcos gabbro targets. Impact velocities ranged from 1 to 6.5 km/sec. Projectiles were iron, aluminum, lead, and basalt of varying sizes. The projectile masses ranged from a 4 g lead bullet to a 0.04 g aluminum sphere. The velocities of fragments were measured from high-speed films taken of the events. The maximum spall velocity observed was 30 m/sec, or 0.56 percent of the 5.4 km/sec impact velocity. The measured velocities were compared to the spall velocities predicted by the spallation model of Melosh (1984). The compatibility between the spallation model for large planetary impacts and the results of these small scale experiments are considered in detail.

The targets were also bisected to observe the pattern of internal fractures. A series of fractures were observed, whose location coincided with the boundary between rock subjected to the peak shock compression and a theoretical "near surface zone" predicted by the spallation model. Thus, between this boundary and the free surface, the target material should receive reduced levels of compressive stress as compared to the more highly shocked region below.

PAPER 2.

Carbonate samples from the nuclear explosion crater, OAK, and a terrestrial impact crater, Meteor Crater, were analyzed for shock damage using electron para- magnetic resonance, EPR. The first series of samples for OAK Crater were obtained from six boreholes within the crater, and the second series were ejecta samples recovered from the crater floor. The degree of shock damage in the carbonate material was assessed by comparing the sample spectra to spectra of Solenhofen limestone, which had been shocked to known pressures.

The results of the OAK borehole analysis have identified a thin zone of highly shocked carbonate material underneath the crater floor. This zone has a maximum depth of approximately 200 ft below sea floor at the ground zero borehole and decreases in depth towards the crater rim. A layer of highly shocked material is also found on the surface in the vicinity of the reference bolehole, located outside the crater. This material could represent a fallout layer. The ejecta samples have experienced a range of shock pressures.

It was also demonstrated that the EPR technique is feasible for the study of terrestrial impact craters formed in carbonate bedrock. The results for the Meteor Crater analysis suggest a slight degree of shock damage present in the β member of the Kaibab Formation exposed in the crater walls.

Oxygen isotope ratios in coexisting minerals of regionally metamorphosed rocks

The O¹⁸/O¹⁶ ratios of coexisting minerals from a number of regionally metamorphosed rocks have been measured, using a bromine pentafluoride extraction-technique. Listed in order of their increasing tendency to concentrate O¹⁸, the minerals analyzed are magnetite, ilmenite, chlorite, biotite, garnet, hornblende, kyanite, muscovite, feldspar, and quartz. The only anomalous sequence detected occurs in a xenolith of schist, in which quartz, muscovite, biotite, and ilmenite, but not garnet, have undergone isotopic exchange with surrounding trondjemite.

With few exceptions, quartz-magnetite and quartz-ilmenite fractionations decrease with increasing metamorphic grade determined by mineral paragenesis and spatial distribution. This consistency does not apply to quartz-magnetite and quartz-ilmenite fractionations obtained from rocks in which petrographic evidence of retrogradation is present.

Whereas measured isotopic fractionations among quartz, garnet, ilmenite, and magnetite are approximately related to metamorphic grade, fractionations between these minerals and biotite or muscovite show poor correlation with grade. Variations in muscovite-biotite fractionations are relatively small. These observations are interpreted to mean that muscovite and biotite are affected by retrograde re-equilibration to a greater extent than the anhydrous minerals analyzed.

Measured quartz-ilmenite fractionations range from 12 permil in the biotite zone of central Vermont to 6.5 permil in the sillimanite-orthoclase zone of southeastern Connecticut. Analyses of natural assemblages from the kyanite and sillimanite zones suggest that equilibrium quartz-ilmenite fractionations are approximately 8 percent smaller than corresponding quartz-magnetite fractionations. Employing the quartz-magnetite geothermometer calibrated by O'Neil and Clayton (1964), a temperature of 560°C was obtained for kyanite-bearing schists from Addison County, Vermont. Extending the calibration to quartz-ilmenite fractionations, a temperature of 600°C was obtained for kyanite-schists from Shoshone County, Idaho. At these temperatures kyanite is stable only at pressures exceeding 11 kbars (Bell, 1963), corresponding to lithostatic loads of over 40 km.

Petrografia, litogeoquímica e datação Ar-Ar dos montes submarinos e dos rochedos de Martim Vaz - Cadeia Vitória-Trindade

Este trabalho de mestrado estudou a ilha de Martin Vaz e cinco montes submarinos da Cadeia Vitória-Trindade Columbia, Dogaressa, Davis, Jaseur e Montague. Martin Vaz é um conjunto de ilhas formado pela ilha principal - Martin Vaz, duas ilhotas íngremes e inacessíveis - a Ilha do Norte e a Ilha do Sul além de vários rochedos menores, como o Rochedo Agulha, espalhados a 48 km a leste de Trindade, perfazendo uma área total de 0,3 km. Martin Vaz, assim como os montes submarinos, pertencem a chamada Cadeia Vitória-Trindade, estão inseridos em um contexto tectônico regional cujo trend W-E sugere representar o track da pluma mantélica de Trindade quando da passagem da Placa Sul Americana sobre ela desde o Terciário (CROUGH et al., 1980; OCONNOR & DUNCAN, 1990, GIBSON et at., 1997). A petrografia das amostras de Martin Vaz indica haver basanitos parcialmente alteradas, melanocráticas, textura afanítica, porosas, apresentando vesículas em torno de 1,0-5,0 milímetros. Apresenta fenocristais de piroxênio além de alguns fenocristais de olivina verde-oliva translúcido variando de 1,0-3,0 milímetros. A ilha principal apresenta também diques e necks fonolíticos apresentando matriz microlítica alterada, orientada, de cor verde apresentando minerais ripiformes de cor branca (feldspato alcalino) e outros de cor violácea (titanoaugita) além de pequenos opacos. Pequenos fenocristais de aegerina-augita fortemente pleocroica, alguns apresentando geminação simples, por vezes zonado, apresenta extinção variando de c ∧ α ou X = 23 a 33 (medida de 10 grãos). Biotita laranja amarronzada com textura poiquilítica (1,0 mm), minúsculos cristais euédricos de titanita (raros), além de cristais pseudohexagonais isotrópicos alterados de analcita e carbonatos. As amostras utilizadas neste trabalho de mestrado possuem valor mínimo de 33.91 % SiO2 (TRIM-01D) e máximo de 52,2 (MVA-01) variando de ultrabásicas a básicas. Através da análise dos óxidos SiO2 e MgO é possível distinguir dois grupos de rochas para Martin Vaz: um ultramáfico magnesiano (<42% SiO2 e >7% MgO) e um básico (>45% SiO2) e, para os montes submarinos, dois grupos: um ultramáfico magnesiano (>9% MgO <42% SiO2) e um básico (>45% SiO2 e com valores de MgO em torno de 4%). As análises de Ar-Ar para as quatro amostras de Martin Vaz apresentam idades para o derrame de basanito variando de 320366 Ka (MVA-10) à 623127 Ka (MVA-04). A única amostra datada representando do dique de fonólito é a MVA-05B e obteve idade de 64984 Ka, indicando ser contemporânea ao derrame basanítico.