Made available in DSpace on 2014-12-17T14:08:40Z (GMT). No. of bitstreams: 1 PedroHCF_DISSERT.pdf: 3177377 bytes, checksum: aee262ba866eb8f7862d4fdf2b03cfdf (MD5) Previous issue date: 2010-08-07 / In geophysics there are several steps in the study of the Earth, one of them is the processing of seismic records. These records are obtained through observations made on the earth surface and are useful for information about the structure and composition of the inaccessible parts in great depths. Most of the tools and techniques developed for such studies has been applied in academic projects. The big problem is that the seismic processing power unwanted, recorded by receivers that do not bring any kind of information related to the reflectors can mask the information and/or generate erroneous information from the subsurface. This energy is known as unwanted seismic noise. To reduce the noise and improve a signal indicating a reflection, without losing desirable signals is sometimes a problem of difficult solution. The project aims to get rid of the ground roll noise, which shows a pattern characterized by low frequency, low rate of decay, low velocity and high amplituds. The Karhunen-Lo?ve Transform is a great tool for identification of patterns based on the eigenvalues and eigenvectors. Together with the Karhunen-Lo?ve Transform we will be using the Singular Value Decomposition, since it is a great mathematical technique for manipulating data / Na geof?sica existem diversas etapas no estudo da Terra, uma delas ? o processamento de registros s?smicos. Esses registros s?o obtidos atrav?s de observa??es realizadas na superf?cie, sendo ?teis para informa??es sobre a estrutura e a composi??o das zonas inacess?veis em grandes profundidades. Grande parte das ferramentas e t?cnicas desenvolvidas para tais estudos tem sido aplicada em pesquisas acad?micas. O grande problema do processamento s?smico ? a energia indesejada, registrada pelos receptores que n?o trazem nenhum tipo de informa??o em rela??o aos refletores podendo mascarar as informa??es e/ou gerar informa??es erradas da subsuperf?cie. Essa energia indesejada ? conhecida como ru?do s?smico. Atenuar esse ru?do para melhorar um sinal que indica uma reflex?o, sem perder sinal desej?vel ? algumas vezes um problema de dif?cil solu??o. O projeto tem como objetivo a atenua??o do ru?do ground roll , o qual apresenta um padr?o caracterizado pela baixa freq??ncia, baixa velocidade de propaga??o e forte amplitude. A Transformada de Karhunen-Lo?ve ? uma ?tima ferramenta para identifica??o de padr?es baseada nos autovalores e autovetores. Em conjunto com a Transformada de Karhunen-Lo?ve ser? utilizado a Decomposi??o em Valores Singulares, j? que a mesma ? uma ?tima t?cnica matem?tica para manipula??o dos dados

In this paper we present examples of ground roll attenuation for synthetic and real data gathers by using Contourlet and Curvelet transforms. These non-separable wavelet transforms are locoalized both (x,t)- and (k,f)-domains and allow for adaptive seperation of signal and ground roll. Both linear and non-linear filtering are discussed using the unique properties of these basis that allow for simultaneous localization in the both domains. Eventhough, the linear filtering techniques are encouraging the true added value of these basis-function techniques becomes apparent when we use these decompositions to adaptively substract modeled ground roll from data using a non-linear thesholding procedure. We show real and synthetic examples and the results suggest that these directional-selective basis functions provide a usefull tool for the removal of coherent noise such as ground roll

We have effectively identified and removed ground roll through a twostep process. The first step is to identify the major components of the ground roll through various methods including multiscale separation, directional or frequency filtering or by any other method that identifies the ground roll. Given this estimate for ground roll, the recorded signal is separated during the second step through a block-coordinate relaxation method that seeks the sparsest set for weighted curvelet coefficients of the ground roll and the sought-after reflectivity. The combination of these two methods allows us to separate out the ground roll signal while preserving the reflector information. Since our method is iterative, we have control of the separation process. We successfully tested our algorithm on a real data set with a complex ground roll and reflector structure.

Seismic data is often irregularly and/or sparsely sampled along spatial coordinates. We show that these acquisition geometries are not necessarily a source of adversity in order to accurately reconstruct adequately-sampled data. We use two examples to illustrate that it may actually be better than equivalent regularly subsampled data. This comment was already made in earlier works by other authors. We explain this behavior by two key observations. Firstly, a noise-free underdetermined problem can be seen as a noisy well-determined problem. Secondly, regularly subsampling creates strong coherent acquisition noise (aliasing) difficult to remove unlike the noise created by irregularly subsampling that is typically weaker and Gaussian-like

Made available in DSpace on 2014-12-17T15:14:44Z (GMT). No. of bitstreams: 1 FranciscoEAL.pdf: 1218895 bytes, checksum: 8a1a77d95bb1c3b3c1ee1c9f3fb717ba (MD5) Previous issue date: 2007-12-27 / O processamento de registros s?smicos ? uma tarefa muito importante dentro da Geof?sica e que representa um desafio permanente na explora??o de petr?leo. Embora esses sinais forne?am uma imagem adequada da estrutura geol?gica do subsolo, eles s?o contaminados por ru?dos e, o ground roll ? a componente principal. Este fato exige um esfor?o grande para o desenvolvimento de metodologias para filtragem, Dentro desse contexto, este trabalho tem como objetivo apresentar um m?todo de remo??o do ru?do ground roll fazendo uso de ferramentas da F?sica Estat?stica. No m?todo, a An?lise em Ondeletas ? combinada com a Transformada de Karhunen-Lo?ve para a remo??o em uma regi?o bem localizada. O processo de filtragem come?a com a Decomposi??o em Multiescala. Essa t?cnica permite uma representa??o em tempo-escala fazendo uso das ondeletas discretas implementadas a filtros de reconstru??o perfeita. O padr?o s?smico original fica representado em multipadr?es: um por escala. Assim, pode-se atenuar o ground roll como uma opera??o cir?rgica em cada escala, somente na regi?o onde sua presen?a ? forte, permitindo preservar o m?ximo de informa??es relevantes. A atenua??o ? realizada pela defini??o de um fator de atenua??o Af. Sua escolha ? feita pelo comportamento dos modos de energia da Transformada de Karhunen-Lo?ve. O ponto correspondendo a um m?nimo de energia do primeiro modo ? identificado como um fator de atenua??o ?timo

Made available in DSpace on 2014-12-17T14:08:36Z (GMT). No. of bitstreams: 1 NisarRO.pdf: 2584049 bytes, checksum: f18a00826204d450659ba7d3316e358e (MD5) Previous issue date: 2009-05-08 / Among the many types of noise observed in seismic land acquisition there is one produced by surface waves called Ground Roll that is a particular type of Rayleigh wave which characteristics are high amplitude, low frequency and low velocity (generating a cone with high dip). Ground roll contaminates the relevant signals and can mask the relevant information, carried by waves scattered in deeper regions of the geological layers. In this thesis, we will present a method that attenuates the ground roll. The technique consists in to decompose the seismogram in a basis of curvelet functions that are localized in time, in frequency, and also, incorporate an angular orientation. These characteristics allow to construct a curvelet filter that takes in consideration the localization of denoise in scales, times and angles in the seismogram. The method was tested with real data and the results were very good / Dentre os diversos tipos de ru?dos existentes nos dados s?smicos terrestres est? o Ru?do de Rolamento Superficial tamb?m conhecido como ground roll que ? um tipo particular de ondas de Rayleigh com amplitude forte, freq??ncia baixa e velocidade baixa que gera um cone de grande mergulho no sismograma. O ru?do de rolamento superficial contamina os sinais relevantes e pode mascarar a informa??o desejada, trazidas por ondas espalhadas em regi?es mais profundas das camadas geol?gicas. Nesta disserta??o ser? apresentada uma ferramenta que atenua o ru?do de rolamento superficial baseada na transformada curvelet. A t?cnica consiste em decompor o sismograma em uma base de fun??es curvelets as quais s?o localizadas no tempo e na freq??ncia, al?m de incorporarem uma orienta??o angular. Tais caracter?sticas permitem a constru??o de um filtro curvelet que leva em considera??o a localiza??o do ru?do em escalas, limiares de corte dos coeficientes curvelets e dos ?ngulos no sismograma. O m?todo foi testado com dados reais e os resultados obtidos foram muito bons

In this paper an overview is given on the application of directional basis functions, known under the name Curvelets/Contourlets, to various aspects of seismic processing and imaging. Key concepts in the approach are the use of (i) that localize in both domains (e.g. space and angle); (ii) non-linear estimation, which corresponds to localized muting on the coefficients, possibly supplemented by constrained optimization (iii) invariance of the basis functions under the imaging operators. We will discuss applications that include multiple and ground roll removal; sparseness-constrained least-squares migration and the computation of 4-D difference cubes.

Geophysical research has long been interdisciplinary, with many phenomena on the Earth's surface involving multiple, linked processes that are best understood using a combination of techniques. This is particularly true in the case of grain flows on sand dunes, in which the sedimentary stratification with which geologists are concerned arises from the granular processes investigated by physicists and engineers, and the water permeation that interests hydrologists and soil scientists determines the seismic velocities of concern to exploration geophysicists. In this dissertation, I describe four projects conducted for the degree of Doctor of Philosophy, using a combination of laboratory experimentation, fieldwork, numerical simulation, and mathematical modelling to link avalanching on dunes to its effects on stratification, on the permeation of water, and on seismic surveys. Firstly, I describe experiments on erodible, unbounded, grain piles in a channel, slowly supplied with additional grains, and I demonstrate that the behaviour of the consequent, discrete avalanches alternates between two regimes, typified by their size statistics. Reconciling the `self-organised criticality' that several authors have predicted for such a system with the hysteretic behaviour that others have observed, the system exhibits quasi-periodic, system-spanning avalanches in one regime, while in the other avalanches pass at irregular intervals and have a power-law size distribution. Secondly, I link this power-law size distribution to the strata emplaced by avalanches on bounded grain piles. A low inflow rate of grains into an experimental channel develops a pile, composed of strata in which blue-dyed, coarser grains overlie finer grains. Associating stopped avalanche fronts with the `trapped kinks' described by previous authors, I show that, in sufficiently large grain piles, mean stratum width increases linearly with distance downslope. This implies the possibility of interpreting paleodune height from the strata of aeolian sandstones, and makes predictions for the structure of avalanche-associated strata within active dunes. Thirdly, I discuss investigations of these strata within active, Qatari barchan dunes, using dye-infiltration to image strata in the field and extracting samples across individual strata with sub-centimetre resolution. Downslope increases in mean stratum width are evident, while measurements of particle size distributions demonstrate preferential permeation of water along substrata composed of finer particles, explaining the strata-associated, localised regions of high water content discovered by other work on the same dunes. Finally, I consider the effect of these within-dune variations in water content on seismic surveys for oil and gas. Having used high performance computing to simulate elastic wave propagation in the vicinity of an isolated, barchan sand dune, I demonstrate that such a dune acts as a resonator, absorbing energy from Rayleigh waves and reemitting it over an extensive period of time. I derive and validate a mathematical framework that uses bulk properties of the dune to predict quantitative properties of the emitted waves, and I demonstrate the importance of internal variations in seismic velocity, resulting from variations in water content.