Modelagem do mCSEM no domínio do tempo usando transformada discreta de Fourier

A modelagem do mCSEM é feita normalmente no domínio da frequência, desde sua formulação teórica até a análise dos resultados, devido às simplificações nas equações de Maxwell, possibilitadas quando trabalhamos em um regime de baixa frequência. No entanto, a abordagem através do domínio do tempo pode em princípio fornecer informação equivalente sobre a geofísica da subsuperfície aos dados no domínio da frequência. Neste trabalho, modelamos o mCSEM no domínio da frequência em modelos unidimensionais, e usamos a transformada discreta de Fourier para obter os dados no domínio do tempo. Simulamos ambientes geológicos marinhos com e sem uma camada resistiva, que representa um reservatório de hidrocarbonetos. Verificamos que os dados no domínio do tempo apresentam diferenças quando calculados para os modelos com e sem hidrocarbonetos em praticamente todas as configurações de modelo. Calculamos os resultados considerando variações na profundidade do mar, na posição dos receptores e na resistividade da camada de hidrocarbonetos. Observamos a influência da airwave, presente mesmo em profundidades oceânicas com mais de 1000m, e apesar de não ser possível uma simples separação dessa influência nos dados, o domínio do tempo nos permitiu fazer uma análise de seus efeitos sobre o levantamento. Como parte da preparação para a modelagem em ambientes 2D e 3D, fazemos também um estudo sobre o ganho de desempenho pelo uso do paralelismo computacional em nossa tarefa.

Estabilidade exponencial de um sistema termo elástico poroso: lei de Cattaneo versus lei de Fourier

No presente trabalho estudamos a existência e unicidade de solução bem como o decaimento exponencial do modelo abaixo. Nosso resultado mais importante versa sobre o decaimento exponencial do sistema termo-elástico-poroso: Cattaneo versus Fourier, dado por: ρu_tt = µu_xx + bφ_x − βθ_x em (0, π) × (0, ∞), Jθφ_tt = αφ_xx − bu_x − ξφ+mθ – γφ_t em (0, π) × (0, ∞), cθ_t = k∗q_x − βu_xt − mφ_t em (0, π) × (0, ∞), τq mφ_t= −βq − θ_x em (0, π) × (0, ∞), u = φ_x = θ = q = 0 sobre (0, π) × (0, ∞), (u(., 0), φ (., 0), θ (., 0), q(., 0)) = (u₀ (x), φ₀ (x), θ₀ (x), q₀ (x)) em (0, π), (ut(., 0), φt(., 0)) = (u1(x), φ1(x)) em (0, π), a existência e unicidade sera´ obtida usando o Teorema de Lumer-Phillips e para o decaimento exponencial usaremos uma técnica de semigrupo.

Análise da saliva de pacientes com ardência bucal por espectroscopia de Fourier Transform Infrared (FT-IR)

Pós-graduação em Biopatologia Bucal - ICT

Estados ligados em um potencial delta duplo via transformadas seno e cosseno de Fourier

The problem of bound states in a double delta potential is revisited by means of Fourier sine and cosine transforms.

Pigmentos fotossintéticos e índice spad como descritores de intensidade do estresse por deficiência hídrica em cana-de-açúcar

The objective of this study was to evaluate the responses of sugar cane subject to water stress by photosynthetic pigments (chlorophylls a, b, total a + b, ratio chlorophylls a/b and carotenoids) and verify the use of SPAD index as a cultivar differentiation tool. The experiment was carried out in a greenhouse, where four cultivars (IACSP95-5000, RB835054, RB928064 and SP80-3280) were grown in pots. After 65 days of planting, two treatments were implemented, i.e., with no stress (-D) and with water stress (D +). Cultivars of sugar cane respond differently in relation to photosynthetic pigments when subjected to water deficit. Cultivars IACSP95-5000 and RB928064 have less effect of drought, that is attributed to the ability of maintaining the chlorophyll and carotenoid content, as well as higher SPAD index values under this condition. Water stress affects with more intensity the cultivars RB835054 and SP80-3280 due to higher reductions in photosynthetic pigments and SPAD index. SPAD index is correlated with chlorophyll and carotenoid content in sugar cane and can be used as a technique for selecting tolerant cultivars to drought in breeding programs.

Flame retardant properties of the bark powder of Anadenanthera peregrina var. falcata (Benth.) Altschul (angico) studied by coupled thermogravimetry-Fourier transform infrared spectroscopy

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Filtragem de sinais de interferência em espectros dinâmicos solares através de suas componentes de Fourier

Through the data acquisition system of the instrument Brazilian Solar Spectroscope (BSS) at INPE, solar observations in the decimetric radio wave band (1000-2500 MHz) are regularly made. This data is showed as dynamic spectra using the software BSSView created for this purpose. The process of data acquisition can be influenced by various sources, dificulting the resulting dynamic spectrum analysis. The objective of this work is to create a computational routine that eliminates dynamic components of the spectrum attributed to interfering signals and integrate it into BSSView. It was done a preliminary study on the programming language Interactive Data Language (IDL), in which the BSSView was developed, and the Fourier transform, that is required for the application of the filter

Fourier series for quaternions and the square of the error theorem

In this paper we introduce a type of Hypercomplex Fourier Series based on Quaternions, and discuss on a Hypercomplex version of the Square of the Error Theorem. Since their discovery by Hamilton (Sinegre [1]), quaternions have provided beautifully insights either on the structure of different areas of Mathematics or in the connections of Mathematics with other fields. For instance: I) Pauli spin matrices used in Physics can be easily explained through quaternions analysis (Lan [2]); II) Fundamental theorem of Algebra (Eilenberg [3]), which asserts that the polynomial analysis in quaternions maps into itself the four dimensional sphere of all real quaternions, with the point infinity added, and the degree of this map is n. Motivated on earlier works by two of us on Power Series (Pendeza et al. [4]), and in a recent paper on Liouville’s Theorem (Borges and Mar˜o [5]), we obtain an Hypercomplex version of the Fourier Series, which hopefully can be used for the treatment of hypergeometric partial differential equations such as the dumped harmonic oscillation.

Square of the Error Octonionic Theorem and Hypercomplex Fourier Series

The focus of this paper is to address some classical results for a class of hypercomplex numbers. More specifically we present an extension of the Square of the Error Theorem and a Bessel inequality for octonions.

Transformada de Fourier: teoria como base para aplicações em mecânica celeste

Pós-graduação em Matemática Universitária - IGCE

Estimativa da divergência entre ecótipos de braquiária baseada em descritores quantitativos e qualitativos

This study aimed to estimate the genetic divergence between Urochloa brizantha ecotypes based on quantitative, qualitative descriptors and their joint analysis to select the promising to release as cultivars of this species. Eight ecotypes (B1, B2, B3, B4, B5, B6, B8) and cultivar 'Marandu' of U. brizantha were implanted into pickets with 1000m2 each, with two repetitions. Five quantitative descriptors were evaluated [leaf area (ALF), length and width of leaf blades (CLF and LLF, respectively), dry mass (MS), mass of dry matter (MMS) and proportion of leaf blade in MS (PLF)] in two forage samples, being a representative of rainfall, in February 2000, and another in the dry period, in August 2000. It was measured the qualitative descriptors: shear strength (RC), volume of accumulated gas in fast and slow fraction (A and B, respectively), crude protein (CP), neutral detergent fiber (NDF), acid detergent fiber (ADF ), cellulose (CEL), lignin in sulfuric acid (LIG), silica (SIL) and in vitro digestibility of organic matter (IVOMD). There was considerable genetic divergence in U. brizantha ecotypes, especially regarding to quantitative descriptors. Based on the groupings of quantitative, qualitative descriptors and their joint analysis, the grouping containing of B1, B3 and B5 with 'Marandu' can result in promising U. brizantha ecotypes

Rotor Failure Diagnosis of Induction Motors by Wavelet Transform and Fourier Transform in Function of the Load

This paper presents two diagnostic methods for the online detection of broken bars in induction motors with squirrel-cage type rotors. The wavelet representation of a function is a new technique. Wavelet transform of a function is the improved version of Fourier transform. Fourier transform is a powerful tool for analyzing the components of a stationary signal. But it is failed for analyzing the non-stationary signal whereas wavelet transform allows the components of a non-stationary signal to be analyzed. In this paper, our main goal is to find out the advantages of wavelet transform compared to Fourier transform in rotor failure diagnosis of induction motors.

Development and validation of the quantitative analysis of ampicillin sodium in powder for injection by Fourier-transform infrared spectroscopy (FT-IR)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)