1979
DOI: 10.2118/6720-pa
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An Improved Unsteady-State Procedure for Determining the Relative-Permeability Characteristics of Heterogeneous Porous Media (includes associated papers 8028 and 8777 )

Abstract: With typical heterogeneous carbonate core samples, large uncertainties of unknown magnitude can occur in the relative permeabilities derived using different methods. This situation can be improved by analyzing the recovery and pressure response to two-phase laboratory displacement tests by a nonlinear least-squares procedure. The suggested technique fits the finite-difference solution of the Buckley-Leverett two-phase flow equations (which include capillary pressure) to the observed recovery and pressure data.… Show more

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Cited by 153 publications
(71 citation statements)
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“…However, due to the idealized hypothesis, the precision usually cannot be guaranteed when using analytical methods to calculate the water-oil or oil-gas relative permeability curve. To improve the precision of the estimated result, Sigmund and McCaffery applied a nonlinear regression to the problem of history matching laboratory coreflood data for the first time and proposed a numerical inversion method for the wateroil relative permeability curve (Sigmund and McCaffery 1979). In contrast to the existing analytical methods, when the numerical inversion methods are adopted to interpret laboratory coreflood data, production performance prior to and after water breakthrough can be utilized comprehensively.…”
Section: Introductionmentioning
confidence: 99%
“…However, due to the idealized hypothesis, the precision usually cannot be guaranteed when using analytical methods to calculate the water-oil or oil-gas relative permeability curve. To improve the precision of the estimated result, Sigmund and McCaffery applied a nonlinear regression to the problem of history matching laboratory coreflood data for the first time and proposed a numerical inversion method for the wateroil relative permeability curve (Sigmund and McCaffery 1979). In contrast to the existing analytical methods, when the numerical inversion methods are adopted to interpret laboratory coreflood data, production performance prior to and after water breakthrough can be utilized comprehensively.…”
Section: Introductionmentioning
confidence: 99%
“…Archer and Wong (1973) used a trial and error approach (manual history matching) to estimate relative permeability curves by history matching laboratory core flood data and Sigmund and McCaffery (1979) used automatic history matching (nonlinear regression) for the same purpose. However, both authors estimated only the two parameters defining the shape of power-law relative permeability curves.…”
Section: Adjustment Of Relative Permeabilitiesmentioning
confidence: 99%
“…After determination of saturation and relative permeability end point values, relative permeability curvatures in mathematical function can be adjusted until the flow behavior match the laboratory observations. Therefore, an automatic history match like method could be developed to optimize curvatures (Sigmund and McCaffery 1979;Kerig and Watson 1987;Bech et al 2000;Toth et al 2001;Jaber 2013). For these relevant references, the determination of relative permeability curves is executed by representing it with two functions, each of which contains one coefficient to be adjusted to match the observations.…”
Section: Introductionmentioning
confidence: 99%