Permeability estimates from poro-elastic dispersion analyses of sonic logs

Modern sonic logging tools designed for shallow environmental and engineering applications allow for P-wave phase velocity measurements over a wide frequency band. Methodological considerations indicate that, for saturated unconsolidated sediments in the silt to sand range and source frequencies ranging from approximately 1 to 30 kHz, the observable poro-elastic P-wave velocity dispersion is sufficiently pronounced to allow for reliable first-order estimations of the underlying permeability structure. These predictions have been tested on and verified for a surficial alluvial aquifer. Our results indicate that, even without any further calibration, the thus obtained permeability estimates as well as their variabilities within the pertinent lithological units are remarkably close to those expected based on the corresponding granulometric characteristics.

A pseudo-spectral method for the simulation of poro-elastic seismic wave propagation in 2D polar coordinates using domain decomposition

We present a novel numerical approach for the comprehensive, flexible, and accurate simulation of poro-elastic wave propagation in 2D polar coordinates. An important application of this method and its extensions will be the modeling of complex seismic wave phenomena in fluid-filled boreholes, which represents a major, and as of yet largely unresolved, computational problem in exploration geophysics. In view of this, we consider a numerical mesh, which can be arbitrarily heterogeneous, consisting of two or more concentric rings representing the fluid in the center and the surrounding porous medium. The spatial discretization is based on a Chebyshev expansion in the radial direction and a Fourier expansion in the azimuthal direction and a Runge-Kutta integration scheme for the time evolution. A domain decomposition method is used to match the fluid-solid boundary conditions based on the method of characteristics. This multi-domain approach allows for significant reductions of the number of grid points in the azimuthal direction for the inner grid domain and thus for corresponding increases of the time step and enhancements of computational efficiency. The viability and accuracy of the proposed method has been rigorously tested and verified through comparisons with analytical solutions as well as with the results obtained with a corresponding, previously published, and independently bench-marked solution for 2D Cartesian coordinates. Finally, the proposed numerical solution also satisfies the reciprocity theorem, which indicates that the inherent singularity associated with the origin of the polar coordinate system is adequately handled.

Insetos indutores de galhas da porção sul da Cadeia do Espinhaço, Minas Gerais, Brasil

A riqueza de insetos galhadores é maior nas latitudes intermediárias em hábitats quentes e com vegetação esclerófila sob estresse hídrico e de nutrientes. Em regiões tropicais, os campos rupestres são indicados como hábitats ricos em espécies de insetos galhadores. Neste trabalho, foram descritas as galhas induzidas por insetos e suas plantas hospedeiras na porção sul da Cadeia do Espinhaço, sudeste do Brasil. Foram selecionados 60 sítios em seis regiões ao longo na porção sul da Cadeia do Espinhaço no estado de Minas Gerais. Em cada sítio 100 plantas foram amostradas totalizando 6.000 plantas censuradas ao longo de um gradiente altitudinal de 668 a 1860m. Foram encontrados 241 morfotipos de galhas em 142 espécies de plantas distribuídas em 29 famílias e de um total de 384 espécies de plantas amostradas. As famílias mais ricas em espécies de insetos galhadores foram Asteraceae (42%), principalmente espécies do gênero Baccharis. A maior parte das galhas (85%) foi induzida por insetos da família Cecidomyiidae seguidos por Lepidoptera (4%) e Homoptera (3%). Os ramos foram os órgãos mais freqüentemente atacados (72%) enquanto que os morfotipos mais comuns foram o elíptico (37%) e o globóide (36%). A espécie de planta hospedeira que apresentou mais morfotipos de galhas foi Baccharis pseudomyriocephala com 10 galhas distintas. Este estudo sustenta a afirmativa que campos rupestres apresentam uma elevada riqueza em espécies de insetos galhadores.

Quantitative comparison of simulations of seismic wave propagation in heterogeneous poro-elastic media involving fluid-solid interfaces and in equivalent visco-elastic solids

There is increasing evidence to suggest that the presence of mesoscopic heterogeneities constitutes the predominant attenuation mechanism at seismic frequencies. As a consequence, centimeter-scale perturbations of the subsurface physical properties should be taken into account for seismic modeling whenever detailed and accurate responses of the target structures are desired. This is, however, computationally prohibitive since extremely small grid spacings would be necessary. A convenient way to circumvent this problem is to use an upscaling procedure to replace the heterogeneous porous media by equivalent visco-elastic solids. In this work, we solve Biot's equations of motion to perform numerical simulations of seismic wave propagation through porous media containing mesoscopic heterogeneities. We then use an upscaling procedure to replace the heterogeneous poro-elastic regions by homogeneous equivalent visco-elastic solids and repeat the simulations using visco-elastic equations of motion. We find that, despite the equivalent attenuation behavior of the heterogeneous poro-elastic medium and the equivalent visco-elastic solid, the seismograms may differ due to diverging boundary conditions at fluid-solid interfaces, where there exist additional options for the poro-elastic case. In particular, we observe that the seismograms agree for closed-pore boundary conditions, but differ significantly for open-pore boundary conditions. This is an interesting result, which has potentially important implications for wave-equation-based algorithms in exploration geophysics involving fluid-solid interfaces, such as, for example, wave field decomposition.

A pseudo-spectral method for simulating of poro-elastic seismic wave propagation in complex borehole environments

We present a novel numerical approach for the comprehensive, flexible, and accurate simulation of poro-elastic wave propagation in cylindrical coordinates. An important application of this method is the modeling of complex seismic wave phenomena in fluid-filled boreholes, which represents a major, and as of yet largely unresolved, computational problem in exploration geophysics. In view of this, we consider a numerical mesh consisting of three concentric domains representing the borehole fluid in the center, the borehole casing and the surrounding porous formation. The spatial discretization is based on a Chebyshev expansion in the radial direction, Fourier expansions in the other directions, and a Runge-Kutta integration scheme for the time evolution. A domain decomposition method based on the method of characteristics is used to match the boundary conditions at the fluid/porous-solid and porous-solid/porous-solid interfaces. The viability and accuracy of the proposed method has been tested and verified in 2D polar coordinates through comparisons with analytical solutions as well as with the results obtained with a corresponding, previously published, and independently benchmarked solution for 2D Cartesian coordinates. The proposed numerical solution also satisfies the reciprocity theorem, which indicates that the inherent singularity associated with the origin of the polar coordinate system is handled adequately.

Composição química da solução do solo nas diferentes classes de poro do solo

A composição química da solução do solo pode ser considerada indicadora da presença de nutrientes ou contaminantes no solo. Para analisar a variação dessa composição nos poros do solo, utilizou-se um sistema de extração sequencial da solução do solo em diferentes classes de diâmetro de poro. Colunas de PVC foram construídas e preenchidas com terra fina seca ao ar de um Cambissolo Háplico distrófico, e irrigadas com água destilada (T1), efluente de estação de tratamento de esgoto sanitário EETE (T2) e EETE + 1,2 g L-1 CaSO4 (T3), aplicando lâminas de 150 e 300 mm. Antes da irrigação e após cada lâmina, aplicaram-se na base de cada coluna os seguintes potenciais: 0, 13,3, 26,7, 40,0 e 53,3 kPa para extração e coleta da solução do solo nas faixas de poros: Ø > 76,2 µm, 44,6 < Ø < 76,2 µm, 29,6 < Ø < 44,6 µm, 25,2 < Ø < 29,6 µm, e 23,3 < Ø < 25,2 µm. Os atributos analisados nas soluções extraídas foram pH, condutividade elétrica e as concentrações de Na+, Ca2+, NO3-e NH4+. A variação das concentrações iônicas na porosidade do solo foi semelhante, sendo 3 a 10 vezes maior na microporosidade (Ø < 44,6 m) do que na macroporosidade (Ø > 44,6 m). Todos os dados foram ajustados significativamente ao modelo linear Y = a - b.log(X), onde Y é o atributo avaliado e X o diâmetro de poro do solo. Embora a concentração de NO3-na microporosidade supere o valor limite [NO3-]lim para água doce potável (Classe 1), a baixa concentração na macroporosidade (sempre inferior a [NO3-]lim/4) limita o risco de contaminação por lixiviação. Constatou-se também que a adição de gesso promove a redução da concentração de NO3-e de Na+ no solo.

Constraints on the permeability structure of alluvial aquifers from the poro-elastic inversion of multi-frequency P-wave velocity logs

We have explored the possibility of obtaining first-order permeability estimates for saturated alluvial sediments based on the poro-elastic interpretation of the P-wave velocity dispersion inferred from sonic logs. Modern sonic logging tools designed for environmental and engineering applications allow one for P-wave velocity measurements at multiple emitter frequencies over a bandwidth covering 5 to 10 octaves. Methodological considerations indicate that, for saturated unconsolidated sediments in the silt to sand range and typical emitter frequencies ranging from approximately 1 to 30 kHz, the observable velocity dispersion should be sufficiently pronounced to allow one for reliable first-order estimations of the permeability structure. The corresponding predictions have been tested on and verified for a borehole penetrating a typical surficial alluvial aquifer. In addition to multifrequency sonic logs, a comprehensive suite of nuclear and electrical logs, an S-wave log, a litholog, and a limited number laboratory measurements of the permeability from retrieved core material were also available. This complementary information was found to be essential for parameterizing the poro-elastic inversion procedure and for assessing the uncertainty and internal consistency of corresponding permeability estimates. Our results indicate that the thus obtained permeability estimates are largely consistent with those expected based on the corresponding granulometric characteristics, as well as with the available evidence form laboratory measurements. These findings are also consistent with evidence from ocean acoustics, which indicate that, over a frequency range of several orders-of-magnitude, the classical theory of poro-elasticity is generally capable of explaining the observed P-wave velocity dispersion in medium- to fine-grained seabed sediments

Quantitative comparison between simulations of seismic wave propagation in heterogeneous poro-elastic media and equivalent visco-elastic solids for marine-type environments

There is increasing evidence to suggest that the presence of mesoscopic heterogeneities constitutes an important seismic attenuation mechanism in porous rocks. As a consequence, centimetre-scale perturbations of the rock physical properties should be taken into account for seismic modelling whenever detailed and accurate responses of specific target structures are desired, which is, however, computationally prohibitive. A convenient way to circumvent this problem is to use an upscaling procedure to replace each of the heterogeneous porous media composing the geological model by corresponding equivalent visco-elastic solids and to solve the visco-elastic equations of motion for the inferred equivalent model. While the overall qualitative validity of this procedure is well established, there are as of yet no quantitative analyses regarding the equivalence of the seismograms resulting from the original poro-elastic and the corresponding upscaled visco-elastic models. To address this issue, we compare poro-elastic and visco-elastic solutions for a range of marine-type models of increasing complexity. We found that despite the identical dispersion and attenuation behaviour of the heterogeneous poro-elastic and the equivalent visco-elastic media, the seismograms may differ substantially due to diverging boundary conditions, where there exist additional options for the poro-elastic case. In particular, we observe that at the fluid/porous-solid interface, the poro- and visco-elastic seismograms agree for closed-pore boundary conditions, but differ significantly for open-pore boundary conditions. This is an important result which has potentially far-reaching implications for wave-equation-based algorithms in exploration geophysics involving fluid/porous-solid interfaces, such as, for example, wavefield decomposition.

Avaliação dosimétrica de uma combinação de aplicadores para braquiterapia de tumores do colo uterino com acometimento da porção distal da vagina

OBJETIVO: Avaliar uma alternativa de braquiterapia para tumores do colo uterino acometendo a porção distal da vagina, sem aumentar os riscos de toxicidade. MATERIAIS E MÉTODOS: Estudo teórico comparando três diferentes aplicadores de braquiterapia intracavitária de alta taxa de dose: sonda intrauterina e cilindro vaginal (SC); sonda e anel associado ao cilindro vaginal (SA+C) e um aplicador virtual com sonda, anel e cilindro vaginal em um único conjunto (SAC). Foram prescritas doses de 7 Gy no ponto A e 5 Gy na superfície ou a 5 mm de profundidade na mucosa vaginal, mantendo as doses nos pontos de reto, bexiga e sigmoide abaixo dos limites de tolerância. Foram comparados os volumes englobados pelas isodoses de 50% (V50), 100% (V100), 150% (V150) e 200% (V200), respectivamente. RESULTADOS: Tanto SA+C quanto SAC apresentaram melhor distribuição de dose quando comparados ao aplicador SC. A distribuição de dose obtida com SA+C foi semelhante à do aplicador SAC, sendo V150 e V200 cerca de 50% maiores para SA+C, todavia, dentro do cilindro. CONCLUSÃO: A utilização de SA+C em uma única aplicação em dois tempos pode ser uma alternativa de tratamento para pacientes que apresentam tumores de colo uterino com acometimento distal da vagina.

Poro

Poron roukumista, poroerotus. Inari.

Porção servida, heterogeneidade e seus efeitos em medidas sensoriais de dureza em ervilhas em conserva e biscoitos tipo aperitivo

A quantidade de material servida e heterogeneidade em alimentos têm sido constante fonte de preocupação para o analista sensorial e comentadas como interferentes nos resultados; por vezes, explicariam a não detecção de diferenças entre produtos ou detecção de diferenças pouco realistas. De modo a estudar a variabilidade advinda da quantidade de material servida e da heterogeneidade em avaliações sensoriais de dureza, foram realizados experimentos empregando-se o procedimento do grau de diferença em ervilhas em conserva e biscoitos tipo aperitivo. O experimento I, com ervilhas, não apresentou diferenças quanto ao emprego de 1 (um) ou 5 (cinco) grãos na porção. Nos experimentos II e III (ervilhas em conserva e biscoitos tipo aperitivo), não foi confirmado incremento de variabilidade nos resultados que pudesse ser atribuído à heterogeneidade no material, também não foi evidenciado efeito de heterogeneidade de modo a gerar alterações marcantes nas médias de dureza. Assim, quantidade de porção servida e heterogeneidade do material, nestes casos, não interferiram nos resultados, em média, de modo a determinar flutuações que se refletissem nas conclusões dos experimentos realizados.

Caracterización de películas pasivas formadas sobre aceros inoxidables en soluciones modelos del poro de concreto

[Tesis] ( Maestría en Ciencias con Orientación en Ingeniería Cerámica) U.A.N.L.