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In the most general case (both reservoir and pipelines) the fluid motion equation is given by fluid velocity is proportional to pressure gradient and can be written as:
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{\bf u}(t, {\bf r})= - M({\bf r}, p, \nabla p) \nabla p |
with right side dependent on time through the pressure variation.
In case of linear correlation: motion equation (
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| body | M({\bf r}, p, \nabla p) = M({\bf r}) |
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) the
PSS flow velocity will be stationary as the right side of
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is not dependant on time.
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