SPE Middle East Oil Show 2001
DOI: 10.2118/68076-ms
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The Application of Buckley-Leverett Displacement to Waterflooding in Non-Communicating Stratified Reservoirs

Abstract: A mathemathematical model is developed for performance prediction of waterflooding performance in stratified reservoirs using the Buckley-Leverett displacement mechanism. A modified definition of the mobility ratio is untroduced to account for the saturation variation behind the displacement front. Using this modified mobility ratio, the Dykstra-Parsons equations can be used to estimate the relative locations of the displacement fronts in different layers at the time of water breakthrough at a given layer. For… Show more

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Cited by 19 publications
(13 citation statements)
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“…The injectivity ratio starts at a value of unity and ends at a value of M(1 -N G ) for the noncommunicating cases, as discussed previously. For the communicating case, however, the injectivity ratio ends at the value of M/(1 þ MN G ) (El-Khatib 2001). For the case of M ¼ 2.0, the injectivity ratio increases from 1.0 to 1.5 for the noncommunicating case and to 4/3 for the communicating case.…”
Section: Development Of the Model Equationsmentioning
confidence: 95%
See 1 more Smart Citation
“…The injectivity ratio starts at a value of unity and ends at a value of M(1 -N G ) for the noncommunicating cases, as discussed previously. For the communicating case, however, the injectivity ratio ends at the value of M/(1 þ MN G ) (El-Khatib 2001). For the case of M ¼ 2.0, the injectivity ratio increases from 1.0 to 1.5 for the noncommunicating case and to 4/3 for the communicating case.…”
Section: Development Of the Model Equationsmentioning
confidence: 95%
“…El-Khatib (1985) compared the performance of communicating and noncommunicating systems to investigate the effect of communication on waterflooding performance, and he derived expressions for the injectivity ratios for both communicating and noncommunicating systems. El-Khatib (2001) applied the Buckley-Leverett frontal-advance theory to noncommunicating stratified reservoirs, allowing for a saturation gradient behind the displacement front.…”
Section: Introductionmentioning
confidence: 99%
“…In the idealized pattern model, which is not dissimilar in concept to the model presented by [12], the layers are assumed to be non-communicating and the influence of gravity and capillarity is neglected. All layers are assigned the same overall average porosity and initial oil saturation as the block, while the permeability contrast between layers is captured through the average Dykstra-Parsons coefficient, calculated as an ensemble average over all wells in the block.…”
Section: Waterflood Efficiency Typecurvesmentioning
confidence: 99%
“…Tian et al [26] studied the influence of strata pinch out and lens on vertical interlayer interference tests by establishing a three-layer model. Using the theory of B-L displacement mathematical model, Noaman et al [27][28][29] analyzed the influence of gravity number, mobility ratio, permeability variation coefficient and liquidity on waterflooding performance in inclined multilayer reservoirs, and compared the finding with the D-P method. Guo [30] established the low permeability gas reservoir model for multilayer commingling production, considering the Darcy flow and the starting pressure gradient in both cases.…”
Section: Introductionmentioning
confidence: 99%