Estimativa da profundidade do embasamento na bacia potiguar usando inversão gravimétrica

The gravity inversion method is a mathematic process that can be used to estimate the basement relief of a sedimentary basin. However, the inverse problem in potential-field methods has neither a unique nor a stable solution, so additional information (other than gravity measurements) must be supplied by the interpreter to transform this problem into a well-posed one. This dissertation presents the application of a gravity inversion method to estimate the basement relief of the onshore Potiguar Basin. The density contrast between sediments and basament is assumed to be known and constant. The proposed methodology consists of discretizing the sedimentary layer into a grid of rectangular juxtaposed prisms whose thicknesses correspond to the depth to basement which is the parameter to be estimated. To stabilize the inversion I introduce constraints in accordance with the known geologic information. The method minimizes an objective function of the model that requires not only the model to be smooth and close to the seismic-derived model, which is used as a reference model, but also to honor well-log constraints. The latter are introduced through the use of logarithmic barrier terms in the objective function. The inversion process was applied in order to simulate different phases during the exploration development of a basin. The methodology consisted in applying the gravity inversion in distinct scenarios: the first one used only gravity data and a plain reference model; the second scenario was divided in two cases, we incorporated either borehole logs information or seismic model into the process. Finally I incorporated the basement depth generated by seismic interpretation into the inversion as a reference model and imposed depth constraint from boreholes using the primal logarithmic barrier method. As a result, the estimation of the basement relief in every scenario has satisfactorily reproduced the basin framework, and the incorporation of the constraints led to improve depth basement definition. The joint use of surface gravity data, seismic imaging and borehole logging information makes the process more robust and allows an improvement in the estimate, providing a result closer to the actual basement relief. In addition, I would like to remark that the result obtained in the first scenario already has provided a very coherent basement relief when compared to the known basin framework. This is significant information, when comparing the differences in the costs and environment impact related to gravimetric and seismic surveys and also the well drillings

Parâmetro de regularização em problemas inversos: estudo numérico com a transformada de Radon

In general, an inverse problem corresponds to find a value of an element x in a suitable vector space, given a vector y measuring it, in some sense. When we discretize the problem, it usually boils down to solve an equation system f(x) = y, where f : U Rm ! Rn represents the step function in any domain U of the appropriate Rm. As a general rule, we arrive to an ill-posed problem. The resolution of inverse problems has been widely researched along the last decades, because many problems in science and industry consist in determining unknowns that we try to know, by observing its effects under certain indirect measures. Our general subject of this dissertation is the choice of Tykhonov´s regulaziration parameter of a poorly conditioned linear problem, as we are going to discuss on chapter 1 of this dissertation, focusing on the three most popular methods in nowadays literature of the area. Our more specific focus in this dissertation consists in the simulations reported on chapter 2, aiming to compare the performance of the three methods in the recuperation of images measured with the Radon transform, perturbed by the addition of gaussian i.i.d. noise. We choosed a difference operator as regularizer of the problem. The contribution we try to make, in this dissertation, mainly consists on the discussion of numerical simulations we execute, as is exposed in Chapter 2. We understand that the meaning of this dissertation lays much more on the questions which it raises than on saying something definitive about the subject. Partly, for beeing based on numerical experiments with no new mathematical results associated to it, partly for being about numerical experiments made with a single operator. On the other hand, we got some observations which seemed to us interesting on the simulations performed, considered the literature of the area. In special, we highlight observations we resume, at the conclusion of this work, about the different vocations of methods like GCV and L-curve and, also, about the optimal parameters tendency observed in the L-curve method of grouping themselves in a small gap, strongly correlated with the behavior of the generalized singular value decomposition curve of the involved operators, under reasonably broad regularity conditions in the images to be recovered

Resumo de dissertações e teses: a estrutura composicional à luz da Análise Textual dos Discursos

This doctoral dissertationproposes the description, interpretation and analysis of the compositional structure of thesis and dissertation abstracts, with regard to the linguistic mechanisms that evidence text zones of different typological sequences, such as those of the text plan. Along these lines, the research problem was developed from the notion of compositional structure (sequences and text plans), as one of the levels or plans of text analysis, according to the theoretical framework proposed by Jean-Michel Adam (2011a). The main objective of this study was to recognize how the compositional structure, of thesis and dissertation abstracts, is achieved, with respect to text units and the global organization of this text category. The hypothesis posed in this research posits that specific informational text composition categories of abstracts are necessary to process the representation of the original text and the way in which it makes its meaning. Subsequently, this study is based on the theoretical and methodological framework of Text Linguistics (TL) and, above all, Textual Discourse Analysis (TDA), as we endeavor to understand the organizational structure of abstracts from both a linguistic and textual perspective. This structure involves the text plan of abstracts, with respect to their communicative purpose, i.e, the sharing of scientific information in its standard textual form. Thus, the development of this study, from a theoretical and methodological perspective, is based on the theoretical and descriptive premises from TDA (ADAM, 2011a, 2012; PASSEGGI et al., 2010), and also from TL (BEAUGRANDE; DRESSLER, (2012 [1981]); COSERIU; LAMAS (2010); MARCUSCHI, 2009 [1983]; FÁVERO; KOCH, 1994;KOCH, 2006; BENTES, 2004; BENTES; LEITE, 2010), within the field of text studies. The methodology of this study relies on empirical, documental research, which is qualitative, and adopts a descriptive and interpretive approach. From the empirical perspective, our objective is to understand the problems pertaining to the textual composition of abstracts, aiming to elucidate them in light of the theoretical and methodological framework previously mentioned. The corpus of the analysis is comprised of seven abstracts designated for systematic data collection. These texts, written between 2004 and 2011,were selected from Master’s theses and Doctoral dissertations in their electronic version, from the graduate program at the Federal University of Rio Grande do Norte. A thorough review of the literature reveals a clear fluctuation in the terminology of the concept, ‘abstract’. The results of the analysis revealed that the abstracts, which comprise the corpus of analysis in this study, in general, present typological heterogeneity, while the text plan remains fixed. Finally, the new knowledge gained in this research contributes both to the understanding of the compositional structure of abstracts as well as their production.