1997
DOI: 10.1023/a:1006580207133
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Cited by 21 publications
(5 citation statements)
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“…The effect is that the menisci in the larger tubes advance faster than the ones in the smaller tubes. Dong and Dullien [8] developed a capillary model for studying counter-current flow, the model consisted of two capillary tubes connected by two short capillaries at the ends of the tubes. Only the two capillaries were involved.…”
Section: Introductionmentioning
confidence: 99%
“…The effect is that the menisci in the larger tubes advance faster than the ones in the smaller tubes. Dong and Dullien [8] developed a capillary model for studying counter-current flow, the model consisted of two capillary tubes connected by two short capillaries at the ends of the tubes. Only the two capillaries were involved.…”
Section: Introductionmentioning
confidence: 99%
“…There are only a few analytical models of waterflooding (Yortsos and Fokas 1983; Arthur 2011) available, which are limited to semi-infinite models of a domain for which certain capillary pressure function and viscous terms are assumed in the governing equation. Numerical simulations are usually used to model waterflooding (Douglas et al 1958;Kyte and Rapoport 1958). Here, we use the theoretical framework proposed by Whitaker (1986) in the form of a frontal advanced model with capillary pressure effects.…”
Section: Mathematical Modelmentioning
confidence: 99%
“…Firoozabadi [6] and Pooladi-Darvish and Firoozabadi [7] proposed that co-current imbibition may be the dominating process during oil recovery in fractured reservoirs, where the matrix blocks are partially contacted by both brine and oil. An alternative boundary condition, termed Two Ends Open-Free Spontaneous Imbibition (TEOFSI), was suggested by Dong, Dullien et al [8]. Their setup features two open ends, where one is contacted by the wetting phase and the other by the non-wetting phase, and favours co-current flow due to zero capillary pressure at the end face contacted by the non-wetting phase.…”
Section: Introductionmentioning
confidence: 99%