6/π stimulated well potential
From wiki.pengtools.com
Brief
6/π is the maximum possible stimulation potential for pseudo steady state linear flow in a square well spacing.
Math & Physics
Pseudo steady state flow boundary conditions:
From Mass conservation:
From Darcy's law:
Integration gives:
Since average pressure is:
See also
optiFrac
fracDesign
Production Potential
Nomenclature
= cross-sectional area, cm2
= thickness, m
= 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
= oil viscosity, cp