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Why is Storage model in Darcy's Law time dependent?

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Dear all,

A simple square using Darcys Law. If I use the default "fluid and matrix properties" and make all the material properties as CONSTANTS, the result is static even if I use time dependent solver, and this can be explained from the governing equations. However, if I use "storage model" instead, make all properties CONSTANTS, including S, the result is now time dependent, which is contradictory to the governing equations (see attached figure). When density and porosity are constants, the time derivative term should be zero, which is not time dependent. Can anybody tell me why does this happen? Thanks a lot.

Regards,
Albert

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