2020
DOI: 10.1002/ceat.201900687
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Control of Shear Dispersion by the Permeable Porous Wall of a Capillary Tube

Abstract: The transfer of a neutral nonreacting mass species was studied in a capillary tube with a permeable porous wall, under the effect of combined pressure-driven and electro-osmotic flows or simply combined flows (CF). An exact expression for the shear dispersion coefficient in a tube under the influence of CF is derived, which remains constant when l D , inversely propotional to the permeability of the porous medium, is smaller than 1 or larger than 100 for a constant Péclet number. In addition, the equivalent on… Show more

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Cited by 16 publications
(2 citation statements)
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“…In recent years, hydraulic fracturing technology has been used widely in unconventional resources around the world . Undoubtedly, production evaluation of these wells holds important issues that should be solved by petroleum engineers. At present, there are three methods to predict production from fractured wells: (1) analytical models, (2) numerical models, and (3) semi-analytical models. Analytical modeling is a simple and feasible method to predict production, but it does not provide an accurate prediction of production because it ignores the pressure drop in the fracture.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, hydraulic fracturing technology has been used widely in unconventional resources around the world . Undoubtedly, production evaluation of these wells holds important issues that should be solved by petroleum engineers. At present, there are three methods to predict production from fractured wells: (1) analytical models, (2) numerical models, and (3) semi-analytical models. Analytical modeling is a simple and feasible method to predict production, but it does not provide an accurate prediction of production because it ignores the pressure drop in the fracture.…”
Section: Introductionmentioning
confidence: 99%
“…Over the past few decades, many researchers have focused on horizontal well oil/gas inflow along the horizontal wells, and this problem involves complex reservoir seepage, wellbore flow, and their relationship. Penmatcha and Aziz and Ozkan et al developed reservoir/well models by the point source function to predict the flow rate and pressure distribution along the horizontal wellbore, and the point source function was also widely used for transient pressure analysis in other gas reservoirs such as the coalbed methane gas reservoir, but the solution of the point source function has the characteristic of singularity . Vicente et al developed a three-dimensional implicit simulator to solve the coupling equation between the reservoir and wellbore.…”
Section: Introductionmentioning
confidence: 99%