Generate a matrix of three-phase relative permeability data for the water-gas-oil system using the modified Stone II model

The 'kr3p_StoneII_SwSg()' 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 water, and gas saturation values in the three-phase region as water, and gas saturation inputs into two-phase relative permeability models

kr3p_StoneII_SwSg(
  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_SwSg(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)