Charlie, thank you very much for your answer. In my case, I received this message :
+++++++++ CONVERGENCE FAILURE ON TIME STEP # 5 WITH DT = 0.298023E-05 SECONDS, FOLLOWING TWO STEPS THAT CONVERGED ON ITER = 1
STOP EXECUTION AFTER NEXT TIME STEP
++++++++ REDUCE TIME STEP AT ( 5, 9) ++++++++++++++++ NEW DELT = 0.745058E-06
As far as I know, with decreasing the capillary pressure the flow rate should increase, and I think you are right I may have gotten into an invalid physical state in one or more cells, but the case I defined is physically meaningful, so...?
Thanks