WATDENT
Recognised by the OPM Flow parserPROPS
WATDENT defines the water density as a function of temperature coefficients for when the thermal option has been activated by the THERMAL keyword in the RUNSPEC. Note this is an OPM Flow keyword used with OPM Flow’s black-oil thermal model that is not available in the commercial simulator’s black-oil thermal formulation.
This keyword can only be used if OPM Flow’s thermal option has been activated by the THERMAL keyword in the RUNSPEC section. Note this is different to the commercial simulator that uses the TEMP keyword in the RUNSPEC section to activate the black-oil thermal model.
Notes:
The keyword is followed by NTPVT records as declared on the TABDIMS keyword in the RUNSPEC section.
Each data set is terminated by a “/” and there is no “/” terminator for the keyword.
The water density at a given pressure and temperature is calculated from its value at surface conditions and the water shrinkage factor (the reciprocal of the water formation volume factor) as shown in the following equation:
[%rho_w( p, T ) = %rho_w( p_s, T_s ) b_w( p, T )]
(8.3.366.1)
Where the temperature dependence of the water shrinkage factor relative to its value at the reference temperature is calculated as shown in the following equation:
[b_w( p, T ) = { b_w( p, T_ref ) } over { 1 + c_1 ( T - T_ref ) + c_2 ( T - T_ref )^2 }]
(8.3.366.2)
Where:
[%rho_w]= water density
[b_w]= water shrinkage factor
[p]= pressure
[T]= temperature
[c_1, c_2]= thermal expansion coefficients to first and second order
[s]= subscript indicating surface conditions
[ref]= subscript indicating reference conditions
- Records
- Fixed number of records
- Items per record
- 3
Parameters
| No. | Name | Description | Type | Dimension | Field | Metric | Lab | Default |
|---|---|---|---|---|---|---|---|---|
| 1 | REFERENCE_manual: TEMP | TEMP is a real positive value greater than zero that defines the absolute reference temperature used with TEXP1 and TEXP2 to estimate the change in water density with respect to temperature. | DOUBLE | AbsoluteTemperature | °R 527.67 | K 293.15 | K 293.15 | Defined |
| 2 | EXPANSION_manual: TEXP1 | TEXP1 is a real positive value greater than zero that defines the water thermal expansion coefficient of the first order. | DOUBLE | 1/ | 1/ | 1/ | 1/ | Defined |
| 3 | EXPANSION_manual: TEXP2 | TEXP2 is a real positive value greater than zero that defines the water thermal expansion coefficient of the second order. | DOUBLE | 1/ | 1/ | 1/ | 1/ | Defined |
Example
The following example shows the WATDENT keyword using the default values, for when the thermal option has been activated by the THERMAL keyword in the RUNSPEC section and for when NTPVT on the TABDIMS keyword in the RUNSPEC section is set to two.
--
-- WATER DENSITY TEMPERATURE COEFFICIENTS (OPM FLOW EXTENSION KEYWORD)
--
-- WATER DENSITY DENSITY
-- TEMP COEFF1 COEFF2
-- -------- ------- -------
WATDENT
1* 1* 1* / TABLE NO. 01
1* 1* 1* / TABLE NO. 02
There is no terminating “/” for this keyword.
| [%rho_w( p, T ) = %rho_w( p_s, T_s ) b_w( p, T )] | (8.3.366.1) |
|---------------------------------------------------|-------------|
| [b_w( p, T ) = { b_w( p, T_ref ) } over { 1 + c_1 ( T - T_ref ) + c_2 ( T - T_ref )^2 }] | (8.3.366.2) |
|------------------------------------------------------------------------------------------|-------------|Manual source: parts/chapters/subsections/8.3/WATDENT.fodt