April 2016
Intermediate to advanced
382 pages
10h 29m
English
Content preview from Industrial Control Systems
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216 Industrial control systems
Equation 7.14 shows that the oil production at time t is a nonlinear func-
tion of its cumulative oil production. By rewriting Equation 7.14 in terms
of cumulative oil production, we have
Q t
q
m D
q t
q
m D
m
m
( )
( )
( )
( )
=
−
+
−
−
0
0
1
0
0
1 1
(7.15)
Statistical analysis
For any given oil well, lease or property, the oil production at any time t
can be observed. The observed production values are always available at
discrete equi-spaced time intervals; this will, therefore, make Equation
7.15 not be satised exactly, due to the continuity assumption used in
deriving Equation 7.12; hence, it will only dene the cumulative ...
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