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Capillary diffusion and relative permeability

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Hi
I am using transient two phase darcy law for resin impregnation through a porous material. The porous medium of certain porosity and permeability is being impregnated by resin as it displaces air.
The entry of resin occurs at prescribed pressure and saturation while at the outlet vacuum is applied. All other surfaces have no flux condition. The simulation does not converge and runs into singularity errors.
Different results are obtained when fluid 1 is resin and fluid 2 is air compared to fluid 1 being air and fluid 2 being resin. The second case works relatively better.
1) What is the role of capillary diffusion term and relative permeability ? In our case these values are default.
2) How do you select values of capillary diffusion and relative permeability ?
3) Is there any mechanism of selecting which material (resin or air) will be fluid 1 ?

Please revert with any possible solutions to this issue.

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