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The pressure distribution in subsurface porous media and its evolution in time (dynamics) in response to various disturbances are experimentally has been practically tested and in vast majority of cases was proved to honour diffusion equation which describes dynamic property with infinite speed of interaction.

This means that interaction forces behind the pressure diffusion process may be thought as propagating at infinite speed, namely:

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titlePressure Speed Statement

If one changes the flowrate in some well then formation pressure away from this well will respond start responding to this event immediately no matter the distance from disturbing well.


There are few major disclaimers on the above.


Disclaimer 1

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Disclaimer 2


Pressure Speed Statement does not imply that pressure dynamics in the whole field is totally synchronised with pressure variation in disturbing well.

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This velocity is simply showing a phase correlation between the original pressure disturbance and its pressure response and characterizing the media where the pressure is diffusing.

Disclaimer 2


Pressure Speed Statement is only valid in practical ranges of distances (meters to thousands of meters) and times (minutes and longer). 

See other disclaimers for popular cases when Pressure Speed Statement fails.


Disclaimer 3


The fluid flow in porous media only starts above a certain pressure gradient threshold.

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