Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long gr
ID: 235348 • Letter: W
Question
Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long gridblock (much like a rectangular core, called gridblock in reservoir simulation terminology), which has a porosity of 33% and absolute permeability of 500 mD. The injection of water is carried out at a residual oil saturation of 20%. The pressure drop across the gridblock is 5 atm. The relative permeability of water (krw) at residual oil saturation of 20% or water saturation of 80% is 0.67. Water viscosity is 1.0 cP. Calculate the water flow rate in barrels/day. Please report the flow rate of water in (****.**) bbls/day
Explanation / Answer
fluid flow rate= area of channel* fluid velocity
Area of rectangle= width * height
=300*400
=120000 ft
Using Darcy law:
Q=-kA( Pb-Pa)/uL
k= permeablity of the sample =500mD=4.93461*10exp-13m2
A= area of the sample=120000ft=36576 m
Pb= outlet fluid pressure= (Pb-Pa=5 atm)=506625Pa
Pa=inlet fluid pressure
Q=flow rate=??
L= length of sample=400 ft=134.112 m
u= dynamic viscosity=1.0 cp=10(-3) Pa
Q=4.93*10exp-13* 36576(506625)/10exp-3*134.112
=0.0758m3
I barrel/day=0.16m3/day
=0.0758/016
=0.47375 barrel/day
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