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-- This reservoir simulation deck is made available under the Open Database
-- License: http://opendatacommons.org/licenses/odbl/1.0/. Any rights in
-- individual contents of the database are licensed under the Database Contents
-- License: http://opendatacommons.org/licenses/dbcl/1.0/
-- Copyright (C) 2015 Statoil
-- This simulation is based on the data given in
-- 'Comparison of Solutions to a Three-Dimensional
-- Black-Oil Reservoir Simulation Problem' by Aziz S. Odeh,
-- Journal of Petroleum Technology, January 1981
PROPS
-- -------------------------------------------------------------------------
PVTW
-- Item 1: pressure reference (psia)
-- Item 2: water FVF (rb per bbl or rb per stb)
-- Item 3: water compressibility (psi^{-1})
-- Item 4: water viscosity (cp)
-- Item 5: water 'viscosibility' (psi^{-1})
-- Using values from Norne:
-- In METRIC units:
-- 277.0 1.038 4.67E-5 0.318 0.0 /
-- In FIELD units:
4017.55 1.038 3.22E-6 0.318 0.0 /
ROCK
-- Item 1: reference pressure (psia)
-- Item 2: rock compressibility (psi^{-1})
-- Using values from table 1 in Odeh:
14.7 3E-6 /
SWOF
-- Column 1: water saturation
-- - this has been set to (almost) equally spaced values from 0.12 to 1
-- Column 2: water relative permeability
-- - generated from the Corey-type approx. formula
-- the coeffisient is set to 10e-5, S_{orw}=0 and S_{wi}=0.12
-- Column 3: oil relative permeability when only oil and water are present
-- - we will use the same values as in column 3 in SGOF.
-- This is not really correct, but since only the first
-- two values are of importance, this does not really matter
-- Column 4: water-oil capillary pressure (psi)
0.12 0 1 0
0.18 4.64876033057851E-008 1 0
0.24 0.000000186 0.997 0
0.3 4.18388429752066E-007 0.98 0
0.36 7.43801652892562E-007 0.7 0
0.42 1.16219008264463E-006 0.35 0
0.48 1.67355371900826E-006 0.2 0
0.54 2.27789256198347E-006 0.09 0
0.6 2.97520661157025E-006 0.021 0
0.66 3.7654958677686E-006 0.01 0
0.72 4.64876033057851E-006 0.001 0
0.78 0.000005625 0.0001 0
0.84 6.69421487603306E-006 0 0
0.91 8.05914256198347E-006 0 0
1 0.00001 0 0 /
SGOF
-- Column 1: gas saturation
-- Column 2: gas relative permeability
-- Column 3: oil relative permeability when oil, gas and connate water are present
-- Column 4: oil-gas capillary pressure (psi)
-- - stated to be zero in Odeh's paper
-- Values in column 1-3 are taken from table 3 in Odeh's paper:
0 0 1 0
0.001 0 1 0
0.02 0 0.997 0
0.05 0.005 0.980 0
0.12 0.025 0.700 0
0.2 0.075 0.350 0
0.25 0.125 0.200 0
0.3 0.190 0.090 0
0.4 0.410 0.021 0
0.45 0.60 0.010 0
0.5 0.72 0.001 0
0.6 0.87 0.0001 0
0.7 0.94 0.000 0
0.85 0.98 0.000 0
0.88 0.984 0.000 0 /
--1.00 1.0 0.000 0 /
-- Warning from Eclipse: first sat. value in SWOF + last sat. value in SGOF
-- must not be greater than 1, but Eclipse still runs
-- Flow needs the sum to be excactly 1 so I added a row with gas sat. = 0.88
-- The corresponding krg value was estimated by assuming linear rel. between
-- gas sat. and krw. between gas sat. 0.85 and 1.00 (the last two values given)
DENSITY
-- Density (lb per ft³) at surface cond. of
-- oil, water and gas, respectively (in that order)
-- Using values from Norne:
-- In METRIC units:
-- 859.5 1033.0 0.854 /
-- In FIELD units:
53.66 64.49 0.0533 /
PVDG
-- Column 1: gas phase pressure (psia)
-- Column 2: gas formation volume factor (rb per Mscf)
-- - in Odeh's paper the units are said to be given in rb per bbl,
-- but this is assumed to be a mistake: FVF-values in Odeh's paper
-- are given in rb per scf, not rb per bbl. This will be in
-- agreement with conventions
-- Column 3: gas viscosity (cP)
-- Using values from lower right table in Odeh's table 2:
14.700 166.666 0.008000
264.70 12.0930 0.009600
514.70 6.27400 0.011200
1014.7 3.19700 0.014000
2014.7 1.61400 0.018900
2514.7 1.29400 0.020800
3014.7 1.08000 0.022800
4014.7 0.81100 0.026800
5014.7 0.64900 0.030900
9014.7 0.38600 0.047000 /
PVTO
-- Column 1: dissolved gas-oil ratio (Mscf per stb)
-- Column 2: bubble point pressure (psia)
-- Column 3: oil FVF for saturated oil (rb per stb)
-- Column 4: oil viscosity for saturated oil (cP)
-- Use values from top left table in Odeh's table 2:
0.0010 14.7 1.0620 1.0400 /
0.0905 264.7 1.1500 0.9750 /
0.1800 514.7 1.2070 0.9100 /
0.3710 1014.7 1.2950 0.8300 /
0.6360 2014.7 1.4350 0.6950 /
0.7750 2514.7 1.5000 0.6410 /
0.9300 3014.7 1.5650 0.5940 /
1.2700 4014.7 1.6950 0.5100
9014.7 1.5790 0.7400 /
1.6180 5014.7 1.8270 0.4490
9014.7 1.7370 0.6310 /
-- It is required to enter data for undersaturated oil for the highest GOR
-- (i.e. the last row) in the PVTO table.
-- In order to fulfill this requirement, values for oil FVF and viscosity
-- at 9014.7psia and GOR=1.618 for undersaturated oil have been approximated:
-- It has been assumed that there is a linear relation between the GOR
-- and the FVF when keeping the pressure constant at 9014.7psia.
-- From Odeh we know that (at 9014.7psia) the FVF is 2.357 at GOR=2.984
-- for saturated oil and that the FVF is 1.579 at GOR=1.27 for undersaturated oil,
-- so it is possible to use the assumption described above.
-- An equivalent approximation for the viscosity has been used.
/
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