The conductivity of acid-etched fractures highly depends on spaces along the fracture created by uneven etching of the fracture walls remaining open after fracture closure. Formation heterogeneities such as variations of mineralogy and permeability result in channels that contribute significantly to the fracture conductivity. Current numerical simulators or empirical correlations do not account for this channeling characteristic because of the scale limitations. The purpose of this study is to develop new correlations for conductivity of acid-etched fracturing at the intermediate scale. The new correlations close the gap between laboratory scale measurements and macro scale acid fracture models. Beginning with acid-etched fracture width profiles and conductivity at zero closure stress obtained by the previous work, I modeled the deformation of the fracture surfaces as closure stress is applied to the fracture. At any cross-section along the fracture, I approximated the fracture shape as being a series of elliptical openings. With the assumption of elastic behavior for the rock, the numerical simulation presents how many elliptical openings remain open and their sizes as a function of the applied stress. The sections of the fracture that are closed are assigned a conductivity because of small-scale roughness features using a correlation obtained from laboratory measurements of acid fracture conductivity as a function of closure stress. The overall conductivity of the fracture is then obtained by numerically modeling the flow through this heterogeneous system. The statistical parameters of permeability distribution and the mineralogy distribution, and Young’s modulus are the primary aspects that affect the overall conductivity in acid-etched fracturing. A large number of deep, narrow channels through the entire fracture leads to high conductivity when the rock is strong enough to resist closure stress effectively. Based on extensive numerical experiments, I developed the new correlations in three categories to predict the fracture conductivity after closure. Essentially, they are the exponential functions that incorporate the influential parameters. Combined with the correlations for conductivity at zero closure stress from previous work, the new correlations are applicable to a wide range of situations.

Orientadores: Jose Roberto Nunhez, Efraim Cekinski / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Quimica / Made available in DSpace on 2018-08-02T03:18:40Z (GMT). No. of bitstreams: 1 Silva_JeffersonLuizGrangeiroda_D.pdf: 4610700 bytes, checksum: b6db5ffbc0e16576244bd0eaea39201a (MD5) Previous issue date: 2002 / Resumo: O projeto atual de agitadores químicos é essencialmente dependente de relações empíricas, visto que as leis fisicas que regem os fenômenos envolvidos nos processos químicos são expressões cuja solução analítica é ainda desconhecida. Devido a isto, trabalhos experimentais como os compilados por Nagata, (1975), Oldshue, (1983), Sano e Usui, (1985) e Tatterson, (1991) são utilizados como principais referências para o cálculo do consumo de energia destes sistemas de agitação. Este projeto de pesquisa tem por objetivo principal compilar na literatura as principais correlações e trabalhos que são utilizados como base para o cálculo convencional de agitadores utilizados na indústria química, de forma que sejam definidas as melhores correlações através da análise dos parâmetros fundamentais (relações geométricas) no cálculo do Número de Potência, Número de Reynolds, Número de Froude, Número de Fluxo, Número de Mistura e o consumo de Potência de impelidores para os sistemas de agitação. A análise dos parâmetros geométricos será particularmente importante para estágios iniciais de projetos de plantas químicas, quando são necessárias informações da geometria, tanto do tanque como do impelidor (agitador) e, principalmente, do consumo de energia específica destes equipamentos para se estimar o consumo de energia da planta. Os resultados analisados através da utilização das correlações empíricas serão comparados com o Software comercial VISIMIX. Adicionalmente o L-CFD, laboratório de Fluído Dinâmica Computacional, já desenvolveu diversos projetos que analisam a otimização de projeto de reatores de mistura utilizando a Fluido Dinâmica Computacional e este projeto contribui por complementar o conhecimento deste grupo de pesquisa sobre o projeto de agitadores através de cálculos convencionais / Abstract: The design of impellers to date depends on empirical relations, since the physical laws that describe the phenomena involved in the chemical processes are expressions whose analytical solution is still unknown. Experimental works as those compiled by Nagata, (1975), Oldshue, (1983), Sano and Usui, (1985) and Tatterson, (1991) are used as references for energy consumption estimation in these systems. The compilation of the main correlations and the works in the literature that are used as a base to the conventional way to ca1culate the main impellers used in the chemical industry is the main objective of this research; which will allow one to select the better correlations it is carried on by the analysis of fundamental paramenters (geometric relations) for the ca1culation of Power Number, Reynolds Number, Froude Number, Flow Number, Mixing Number and the Power consumption of impellers in these systems. The analysis of the geometrical parameters will be particularly important to the early stages in the design of chemical plants, when informations ofthe tank and ofthe impeller (agitator) geometries and, mainly,about the specific energy consumption of these equipments are needed. The results are analysed using empirical correlations in the literature and are compared with the commercial software VISIMIX. Additionaly the L-CFD, Computational Fluid Dynamics laboratory, has already developed several projetcs to analyse the optimization project of mixing tanks, through the use of Computational Fluid Dynamics. This project contributes to complement the knowledge of this group of research on the design of mixing impellers, through the use of conventional methods / Doutorado / Desenvolvimento de Processos Químicos / Mestre em Engenharia Química

Made available in DSpace on 2014-12-17T14:08:52Z (GMT). No. of bitstreams: 1 JulioCSN_DISSERT.pdf: 2712130 bytes, checksum: ee800f3d5f68d01d1d955c026ae1891b (MD5) Previous issue date: 2013-02-07 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / The multiphase flow occurrence in the oil and gas industry is common throughout fluid path, production, transportation and refining. The multiphase flow is defined as flow simultaneously composed of two or more phases with different properties and immiscible. An important computational tool for the design, planning and optimization production systems is multiphase flow simulation in pipelines and porous media, usually made by multiphase flow commercial simulators. The main purpose of the multiphase flow simulators is predicting pressure and temperature at any point at the production system. This work proposes the development of a multiphase flow simulator able to predict the dynamic pressure and temperature gradient in vertical, directional and horizontal wells. The prediction of pressure and temperature profiles was made by numerical integration using marching algorithm with empirical correlations and mechanistic model to predict pressure gradient. The development of this tool involved set of routines implemented through software programming Embarcadero C++ Builder? 2010 version, which allowed the creation of executable file compatible with Microsoft Windows? operating systems. The simulator validation was conduct by computational experiments and comparison the results with the PIPESIM?. In general, the developed simulator achieved excellent results compared with those obtained by PIPESIM and can be used as a tool to assist production systems development / Na ind?stria do petr?leo a ocorr?ncia de escoamento multif?sico ? comum em todo o percurso dos fluidos, durante a produ??o, transporte e refino. O escoamento multif?sico ? definido como o escoamento simult?neo composto por duas ou mais fases com propriedades diferentes e imisc?veis. Uma importante ferramenta computacional para o dimensionamento, planejamento e otimiza??o de sistemas de produ??o ? a simula??o de escoamento multif?sico em dutos e meios porosos, normalmente, feita por simuladores comerciais. O objetivo b?sico desses simuladores ? prever a press?o e temperatura em diferentes pontos do sistema de produ??o. Este trabalho prop?e o desenvolvimento de um simulador de escoamento multif?sico em po?os verticais, direcionais e horizontais, capaz de determinar o gradiente din?mico de press?o e temperatura. A determina??o dos perfis de press?o e de temperatura foi feita por meio de integra??o num?rica utilizando o algoritmo de marcha com correla??es emp?ricas e modelo mecanicista para determinar o gradiente de press?o. O desenvolvimento do simulador envolveu o conjunto de rotinas implementadas atrav?s do software de programa??o Embarcadero C++ Builder? vers?o 2010, que permitiu a cria??o de arquivo execut?vel compat?vel com os sistemas operacionais da Microsoft Windows?. A valida??o do simulador foi conduzida por experimentos computacionais e compara??o dos resultados com o simulador de uso comercial PIPESIM?. De modo geral, o simulador desenvolvido alcan?ou excelentes resultados quando comparado com os obtidos pelo PIPESIM, podendo ser utilizado como ferramenta para auxiliar no desenvolvimento de sistemas de produ??o

The undrained shear strength and preconsolidation pressure are key parameters in describing the characteristics of soft clays. The two parameters both reflect the clay’s structure and state of stress, and hence empirical correlations for undrained shear strength normalized with respect to preconsolidation pressure are widely used to assess soil behavior. The empirical correlations given in the literature are typically dependent on liquid limit, or plasticity index, but some studies have questioned the dependency and proposed correlations constant for consistency limits. Data from geotechnical projects often display a considerable scatter and deviate from established empirical correlations. In this thesis, statistical analyses are performed and evaluated qualitatively on direct simple shear, constant rate of strain and fall cone test data from 146 sampling points with a total of 596 soil samples from Stockholm, Gothenburg and Uppsala. The aim is to investigate the correlation between shear strength and the preconsolidation pressure. The thesis evaluates the normalized shear strength’s dependency on liquid limit, how the data corresponds to Hansbo’s (1957) and Swedish Geotechnical Institute’s (2007) linear empirical correlations, and the correction factor applied to shear strength measured by the fall cone test. The results of the study show that the correction factor typically reduces the shear strength from fall cone tests too much with respect to shear strength from direct simple shear tests. The normalized shear strength’s dependency on liquid limit may be rejected for the fall cone test data. The results for direct simple shear test data however, indicates a correlation with liquid limit. The data scatter is considerable, especially for fall cone test data, and the relevance of describing the normalized shear strength from fall cone test with a linear empirical correlation to liquid limit may conclusively be questioned. / Skjuvhållfasthet och förkonsolideringstryck är två viktiga jordparametrar för lösa leror. Båda parametrar reflekterar lerans struktur och spänningstillstånd, och empiriska korrelationer för odränerad skjuvhållfasthet, normaliserad mot förkonsolideringstrycket, används därför ofta för att bedöma en leras egenskaper. De empiriska korrelationerna är vanligen kopplade till flytgräns eller plasticitetsindex. Dessa korrelationer har däremot ifrågasatts av studier som i vissa fall istället föreslagit ett konstant förhållande mellan normaliserad odränerad skjuvhållfasthet och plasticitetsgränser. Mätvärden från geotekniska projekt i Sverige visar allmänt stor spridning avseende dessa parametrar och data avviker ofta från etablerade empiriska korrelationer. I examensarbetet har data från direkta skjuvförsök, ödometerförsök och fallkonförsök utvärderats statistiskt och kvalitativt. Totalt omfattar studien 596 jordprover från 146 provtagningspunkter från Stockholm, Göteborg och Uppsala. Syftet med studien är att undersöka korrelationen mellan odränerad skjuvhållfasthet och förkonsolideringstryck. Studien behandlar den normaliserade skjuvhållfashetens flytgränsberoende, Hansbos (1957) och Statens Geotekniska Instituts (2007) empiriska korrelationer, samt den korrektionsfaktor som ska tillämpas på skjuvhållfastheter från fallkonförsök. Resultatet visar att korrektionsfaktorn reducerar skjuvhållfastheten för mycket och att korrigerade skjuvhållfastheter är i sämre samstämmighet med skjuvhållfastheter från direkta skjuvförsök än okorrigerade. Data från fallkonförsök uppvisar inget tydligt flytgränsberoende, medan resultaten från direkta skjuvförsök indikerar ett beroende. Spridningen i data är dock påfallande, särskilt för fallkonförsöket. Relevansen i att tillämpa en linjär empirisk korrelation för odränerad normaliserad från fallkonförsök mot förkonsolideringstryck beroende av flytgräns bör ifrågasättas.