The 'kr3p_StoneII_So()' creates a table of three-phase oil relative permeability data for water, gas, and oil saturation values between zero and one. This model reads the oil saturation in the three-phase region as oil saturation input into two-phase relative permeability models

kr3p_StoneII_So(
  SWCON,
  SWCRIT,
  SOIRW,
  SORW,
  SOIRG,
  SORG,
  SGCON,
  SGCRIT,
  KRWIRO,
  KROCW,
  KRGCL,
  NW,
  NOW,
  NG,
  NOG,
  NP
)

Arguments

SWCON

connate water saturation, fraction

SWCRIT

critical water saturation, fraction

SOIRW

irreducible oil saturation, fraction

SORW

residual oil saturation, fraction

SOIRG

irreducible oil saturation, fraction

SORG

residual oil saturation, fraction

SGCON

connate gas saturation, fraction

SGCRIT

critical gas saturation, fraction

KRWIRO

water relative permeability at irreducible oil

KROCW

oil relative permeability at connate water

KRGCL

gas relative permeability at connate liquid

NW

exponent term for calculating krw

NOW

exponent term for calculating krow

NG

exponent term for calculating krg

NOG

exponent term for calculating krog

NP

number of saturation points in the two-phase relative permeability tables, the maximum acceptable value is 501. The number of data points in the three-phase relative permeability table is (0.5 * NP * (NP + 1))

Value

A matrix with water saturation, gas saturation, oil saturation, and oil relative permeability values, respectively.

References

Stone HL (1970). “Probability Model for Estimating Three-Phase Relative Permeability.” Journal of Petroleum Technology, 22(02), 214--218. ISSN 0149-2136, doi: 10.2118/2116-PA , https://doi.org/10.2118/2116-PA.

Fayers FJ, Matthews JD (1984). “Evaluation of Normalized Stone's Methods for Estimating Three-Phase Relative Permeabilities.” Society of Petroleum Engineers Journal, 24(02), 224--232. ISSN 0197-7520, doi: 10.2118/11277-PA , https://doi.org/10.2118/11277-PA.

Examples

rel_perm_wgo <- kr3p_StoneII_So(0.15, 0.2, 0.15, 0.15, 0.2, 0.2, 0.05, 0.05, 0.4, 1, 0.3, 3, 2, 4, 2.5, 101)