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Saturation cannot be lower than residual #458

Description

@rolk

There is a problem with having saturations lower than the residual saturation; the transport solver will alter the mass balance to get into the range of the rel.perm. curve.

Clearly, this is unphysical; I can have an aquifer filled with 100% brine which has no CO2, i.e. S_co2 = 0 initially, but which has a residual saturation, i.e. an amount of any CO2 that enters the cell later will be trapped.

Consider the following test case to elicit the problem: It consists of 5 blocks of unit size in a regular grid. There is an injector and a producer, but I am injecting with a rate of 0, so there should be no saturation change.

I run with a command like this (using commit adf421a of opm-core):

bin/sim_2p_incomp 458_ressat.param > 458_ressat.out

using these input files:

  • 458_ressat.param
  • 458_ressat.data

and these are the output files obtained:

  • 458_ressat.out
  • output/saturation/000.txt
  • output/saturation/001.txt

Notice that the saturation of CO2 is increased to slightly above the residual
saturation, in all blocks. If I change the lower bound of the rel.perm. curve,
then there is a corresponding change in the saturation.

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