====== QMLC ======
===== Description =====
Constitutive law for flow mixed limit condition for element [[elements:q2mlc|Q2MLC]]

==== The model ====
This law is only  used for non linear flow analysis of solids. This constitutive law allows to impose a uniform flow mixed limit condition on a boundary.\\ \\
The retention curve allows to divide the imposed total flow among a water flow and a gas flow, according the saturation degree.

==== Files ====
Prepro: LQMLC.F \\
===== Availability =====
|Plane stress state| YES |
|Plane strain state| YES |
|Axisymmetric state| YES |
|3D state| YES |
|Generalized plane state| YES |
===== Input file =====
==== Parameters defining the type of constitutive law ====
^ Line 1 (2I5, 60A1)^^
|IL|Law number|
|ITYPE| 196 |
|COMMENT| Any comment (up to 60 characters) that will be reproduced on the output listing|
==== Integer parameters ====
^ Line 1 (I5) ^^
|ISRW|formulation index for $S_w$ : (see [[appendices:a8|Appendix 8]])|
|:::|$\neq$ 0 in case of seepage with free surface|
|:::|= 0 in absence of free surface |

==== Real parameters ====
^ Line 1 (2G10.0) ^^
|FLUXF|total flow per unit surface|
|FLUXD|total flow per unit surface|
^Line 2 (7G10.0)^^
|CSR1|1st  coefficient of the function $S_W$|
|CSR2|2nd coefficient of the function $S_W$|
|CSR3|3rd coefficient of the function $S_W$|
|CSR4|4th coefficient of the function $S_W$|
|SRES|residual saturation degree $(=S_{res})$|
|SRFIELD|field saturation degree $(=S_{rfiled})$|
|AIREV|air entry value $\left[Pa\right]$|

During the non linear analysis, FLUXF will be multiplied by the force multiplicator ALAMBF while FLUXD will be multiplied by the displacement multiplicator ALAMBD.\\
An outgoing flow is considered as positive.\\
An entering flow is considered as negative.


===== Stresses =====
==== Number of stresses ====
2
==== Meaning (numerical, not physical) ====
|SIG(1)|current value of distributed water flow |
|SIG(2)|current value of distributed gas flow |

===== State variables =====
==== Number of state variables ====
3
==== List of state variables ====
|Q(1)| Saturation degree |
|Q(2)| Water Mass flow $\left[kg/s\right]$ |
|Q(3)| Oil Mass flow $\left[kg/s\right]$ |