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For the naturally flowing wells the production bottom hole pressure can be assessed as:

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p_{wf \, min} = p_s + \rho_g \, g\, h + \bigbigg( 1- \frac{\rho_g}{\rhirho_o} \bigbigg) \, p_b


where 

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bodyp_s
 – tubing-head pressure defind by the production athering system, 
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bodyh
 – is the true vertical deoth at formation top, 
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body\{ \rho_o, \, \rho_g \}
 – oil and gas densities, 
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bodyp_b
 – bubble-point pressure.


Water flooding


Motivation = maintain formation pressure at sweep interface

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