Inertial effects on Saffman–Taylor viscous fingering

Chevalier, Christophe; Amar, Martine Ben; Bonn, Daniel; Lindner, Anke

doi:10.1017/s0022112005008529

Cited by 82 publications

(59 citation statements)

References 32 publications

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“…There are several approaches. One is the sharp interface approach in which the fluids are assumed to be immiscible (Chevalier et al 2006;DiCarlo 2013). Another approach is the miscible fluid approach.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

et al. 2016

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Biogrout is a method to strengthen granular soil, which is based on microbialinduced carbonate precipitation. To model the Biogrout process, a reactive transport model is used. Since high flow rates are undesirable for the Biogrout process, the model equations can be solved with a standard Galerkin finite element method. The Biogrout process involves the injection of dense fluids in the subsurface. In this paper, we present our reactive transport model for Biogrout and use it to simulate an experiment in which a pulse of a dense fluid is injected in a porous medium filled with water. In this experiment, front instabilities were observed in the form of fingers. The numerical simulations showed that the fingering phenomenon was less pronounced than in the experiment. By reducing the dispersion length and implementing a randomly distributed permeability field, the fingering phenomenon could be induced. Furthermore, the results of a case study to a Biogrout application are reported.

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Section: Introductionmentioning

confidence: 99%

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

et al. 2016

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“…Chevalier et al [17] estudaram experimentalmente o efeito da inércia na largura dos fingers a altas velocidades, ou seja, para Reynolds maiores de 100, e concluíram que os efeitos devem ser considerados devidoà sua grande influência sobre a dinâmica do escoamento.…”

Section: Revisão Bibliográficaunclassified

“…A figura 2-3 mostra os componentes do aparelho. Apesar de não haver uma padronização sobre a relação da largura com respeitoà folga entre as placas que a célula deve ter para que o escoamento seja considerado bidimensional, na pesquisa bibliográfica, verificou-se que Chevalier et al [17] • Aúnica parte da bomba que entra em contato com o líquidoé a tubulação.…”

Section: Célula De Hele-shaẃunclassified

“…Outro parâmetro adimensional que rege o escoamento na célula de Hele-Shawé o número de capilaridade [17,27,30,41], o qualé definido com relação entre as forças viscosas e a tensão interfacial de acordo com a eq. 3-19.…”

Section: Forças Capilaresunclassified

“…Deve-se destacar que S * > 100é o ponto de transição entre a zona de varredura completa ou eficiências altas e os viscous fingers desenvolvidos. A partir das referências bibliográficas, se a inérciaé considerada insignificante no deslocamento de fluidos na célula de Hele-Shaw, as forças viscosas e capilares são consideradas predominantes [17]. Embora seja obtido o ponto de transição da eficiência em função da razão de viscosidades,é imperativo obter a influência da capilaridade para nosso trabalho.…”

Section: Caracterização Reológica Das Fluidosunclassified

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Estudo Experimental Da Eficiência Na Varredura De Líquidos Viscoplásticos Na Célula De Hele-Shaw

ESPINOZA¹

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AgradecimentosAo meu orientador, Paulo Roberto, pela confiança e apoio durante a execução deste trabalho.Aos meus pais Diana e René, pelo apoio incondicional e confiança, sem vocês não estaria hoje aqui.Aos meus amigos do Grupo de Reologia da PUC-Rio. Sem vocês, esse projeto não seria possível. Especialmente para Alexandra, Bruna, Carina, Bruno.Aos meus amigos e colegas Dario, Eric e Marcos pelo apoio e incentivo. A meus amigos Elias, Behbood, Ricardo, Eliana, e Fábio pelas correções e sua valiosa amizade.A Priscilla por sua pesquisa, considerada de valor inestimável para a realização do presente trabalho, meu respeito e consideração.Ao Professor Igor Braga de Paula, pela ajuda na análise das incertezas.As agências financiadoras CAPES, CNPq e FAPERJ, assim comoà Pontifícia Universidade Católica de Rio de Janeiro (PUC-Rio) pelo apoio financeiro. Uma abordagem experimental foi utilizada para o estudo da eficiência de varredura de fluidos viscoplásticos na célula de Hele-Shaw , que representa um meio poroso com porosidade constante. A análise baseia-se em um fluido empurrando outro onde, pela razão de viscosidades acima do punto de referẽncia , manifesta-se a instabilidade de Saffman-Taylor, que desencadeia em uma interface instável com divisões sucessivas conhecidas como viscous fingers. A formação da instabilidadeé considerada uma condição indesejável, e no caso da indústria petrolífera, torna-se de interesse na invasão da formação pelo fluido de perfuração, vice-versa. Using digital image processing, the shape interface was evaluated according to their standard deviation, average velocity and efficiency sweep during the displacement. Determined dimensionless parameters was evaluated in function of the experimental geometry, dynamic and rheological factors of the fluids in order to get benchmark that allow separating interfaces zones that tend to 100 % or plugs and the zone where the viscous fingers reveal themselves. It was found that the viscosity ratio and modified critical capillary govern the displacement.

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Inertial effects in cyclic time‐dependent displacement flows in homogeneous porous media

Yuan

Azaiez

2015

Can J Chem Eng

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Miscible displacements in homogeneous porous media are investigated through numerical simulations for cyclic time‐dependent velocities considering inertial effects. It is found that the velocity's models, cycle period, and amplitude have significant impacts on the flow, however the effects greatly depend on whether inertia is considered or not. Generally, cyclic extraction‐injection (E/I) processes are always less unstable than constant injection and their injection‐extraction (I/E) counterpart, regardless of the strength of inertia. Instabilities of E/I processes are reduced as the velocity period or amplitude increases, and these attenuating effects increase with the Reynolds number. However, in the case of I/E processes, the effects of the period and the amplitude are strongly dependent on inertia. For non‐inertial cases, larger periods or amplitudes lead to more unstable flows, while for their inertial counterparts, the effects are found to be non‐monotonic. In particular, as the period increases, instabilities first decrease and then increase. A period‐stabilizing range is identified in which the displacements of the time‐dependent injection velocities are actually less unstable than those of the constant injection flow. When the period is further increased to the period‐destabilizing range, the flows tend to become more unstable. Moreover, the velocity amplitude can attenuate or enhance the instabilities depending on whether the period is within the period‐stabilizing or period‐destabilizing range. Furthermore, stronger inertial effects are found to greatly reduce the instabilities and to expand the period‐stabilizing range.

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Inertial effects on Saffman–Taylor viscous fingering

Cited by 82 publications

References 32 publications

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

Estudo Experimental Da Eficiência Na Varredura De Líquidos Viscoplásticos Na Célula De Hele-Shaw

Inertial effects in cyclic time‐dependent displacement flows in homogeneous porous media

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