Navegando por Autor "COSTA, Manuel de Jesus dos Santos"

Agora exibindo 1 - 3 de 3

Acesso aberto (Open Access)
Aproximações hiperbólicas dos tempos de trânsito com topografia
(Universidade Federal do Pará, 2005-05-23) COSTA, Manuel de Jesus dos Santos; CALLAPINO, German Garabito; http://lattes.cnpq.br/6064981270181319
The simulation of a zero-offset seismic section (ZO) from multicoverage data can be carried through the seismic stacking, which is a very used method of seismic reflection imaging in the oil industry. Seismic stacking process allows to reduce the amount of data and is aimed to improve the signal/noise ratio. Based in the hyperbolic approach of the traveltime, dependent on three parameters or kinematic attributes of wavefronts, recently it was developed a new method to simulate zero-offset sections (ZO), called seismic stack for Common Reflection Surface method (or SRC stack). This new formalism can be extended to construct ZO sections from multicoverage data, using the approach of the paraxial traveltimes in the neighborhood of a central ray with zero offset, for the case of a line of measurement with soft and rugged topography. These two approaches of traveltime also depend on three kinematic attributes of wavefronts. In this work, a theoretical revision of the paraxial theory of the ray for the attainment of the approaches of the paraxial traveltimes is presented, considering a line of measurement with rugged and soft topography. From the approaches of the paraxial traveltimes with relation to a central ray with zero-offset (ZO), two new approaches had been derived from traveltimes using the condition of a diffraction point in depth, reducing the original equations for two parameters. For the approaches of reflection and diffraction, using the same synthetic model, a graphical representation of their respective stacking surfaces were compared, using the traveltime approaches for the soft and rugged topography. After that, we analyze the behavior of the operators associated with the reflection and the diffraction surfaces when these are disturbed, where we investigate the sensibilities in relation to each one of the three parameters (β0, KNIP, KM). This sensibility analysis was perfomed in two ways: Sensibility through the disturbance of each parameter visualized in the stacking surfaces SRC-TR and SDC-TR, and the first derivative of the traveltimes SRC-TR and SDC-TR. Finally, using these hyperbolic approaches as a function of three and two parameters, and based on the results of the sensibility analysis, were considered an algorithm to simulate ZO sections from data of multi coverage.
Acesso aberto (Open Access)
Comparação entre métodos de aproximação numérica utilizando o programa matlab
(Universidade Federal do Pará, 2017-12) LOPES, Álvaro Pereira; COSTA, Manuel de Jesus dos Santos
This Scientific Initiation article covered with the aid of codes developed an interface of the Matlab program some comparisons between numerical approximation methods and found which one was more effective in certain situations. The polynomial interpolation concepts were presented, addressing the interpolation of Lagrange and Newton, and segmented interpolation, approaching cubic splines. Some applications were developed. First, they compared the methods Lagrange and Newton a practical example, the determination of the width of a river for the construction of a bridge. In another application, it analyzed the Newton polynomial behavior and Cubic Spline interpolation in the Runge function. When analyzing the results, it was concluded that between the Lagrange interpolation and Newton latter is more efficient since it is lighter in terms of computational effort, but it is not suitable for situations where it has many interpolation points ie, where the polynomial interpolation is very high degree. The cubic spline is efficient in these cases shows that it uses several low degree polynomial to form the interpolating curve.
Acesso aberto (Open Access)
Migração pré-empilhamento Kirchhoff feixes gaussianos 2,5D nos domínios afastamento comum e ângulo-comum
(Universidade Federal do Pará, 2012) COSTA, Manuel de Jesus dos Santos; CRUZ, João Carlos Ribeiro; http://lattes.cnpq.br/8498743497664023; CALLAPINO, German Garabito; http://lattes.cnpq.br/6064981270181319
A Kirchhoff-type migration is considered in the geophysics literature as one of the most fundamental tools in seismic data processing, the base for solution of several imaging problems. In this respect, it must be considered its wide use and its successful history for the oil and gas industry, associated with its low computational cost and flexibility to deal with non-wavefield datasets when compared to other methods. However in 3D, even when compared to other existing and most effective methods, its computational cost and implementation is still considered high, due to several reasons: new acquisition technologies, data storage and burden, azimuth richness, etc. Thus the main objective of the present work is to implement and simulate migration results (i.e., images) with high signal-to-noise ratios and with a less computer burdens in 2.5D media, using the theoretical framework of Gaussian Beams (GBs). By considering one implementation of a superposition of GBs integral operator studied by Ferreira and Cruz (2009) and by the use of the stationary phase method (Bleistein, 2000), a new integral superposition migration operator using paraxial fields (i.e., GBs) was implemented and studied. Theoretically speaking, the present migration operator was inserted in the kernel of a conventional, 2.5D, true-amplitude, prestack Kirchhoff migration integral operator, thus defining a 2.5D prestack Kirchhoff-Gaussian Beam (KGB) migration operator. The present migration operator was later configured to hold commonoffset (CO) and common-angle (CA) seismic acquisition configurations. I remark that in the present thesis one flexibility of the GB migration operator was idealized in order to handle its effective application in more the one sorting configuration, i.e., common-offset and commonsource.