Difference between revisions of "4/π stimulated well potential"
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[[File:fracture linear flow.png|thumb|right|300px| Stimulated well drainage]] | [[File:fracture linear flow.png|thumb|right|300px| Stimulated well drainage]] | ||
− | [[4/π stimulated well potential |4/π]] is the maximum possible stimulation potential for steady state linear flow in a square well spacing. | + | [[4/π stimulated well potential |4/π]] is the maximum possible stimulation well potential for steady state linear flow in a square well spacing. |
==Math & Physics== | ==Math & Physics== |
Latest revision as of 06:40, 10 December 2018
Brief
4/π is the maximum possible stimulation well potential for steady state linear flow in a square well spacing.
Math & Physics
Steady state flow boundary conditions:
From Darcy's law:
Integration gives:
Since average pressure is:
See also
6/π stimulated well potential
JD
optiFrac
fracDesign
Production Potential
Nomenclature
= cross-sectional area, cm2
= thickness, m
= dimensionless productivity index, dimensionless
= permeability, d
= pressure, atm
= initial pressure, atm
= average pressure, atm
= flow rate, cm3/sec
= length, m
= drinage area length, m
= drinage area width, m
Greek symbols
=viscosity, cp