## Transcribed Text

1) The relationship between the flow rate (q) and cumulative production (N,) from an oil well is
following the below equation, where qiis the initial flow rate (flow rate time zero) and D1 the
nominal decline rate.
N,=91-9
D
Find Di and by linear regression curve fitting and calculate the goodness of the matel (R²).
Note: You are NOT allowed touse any plots and show your step by step linear regression
Np, STB 9, STBD
100,000
182,000
245,000
,000
300,000
345,000
380,000
415,000
440,000
460,000
475,000
490,000
500,000
300
2)
A well with one year production history is believedt have: flow rate (q)vs. time (f) relationship
with the following mathematical equation:
ai
Where quis the initial flow rate and Diis the nominal decline rate.
Find Di and by linear regression curve fitting and calculate the goodness of the match(R²).
Note: You are NOT allowed touse any plots and show your step by step linear regression
Hint: To linearize the equation, take both sides of the equation to the power (-0.5) and rearrange the
equation Y=AX+B form.
Time, Month
,STBD
4440
4052
3964
3) From PNGE 333, you remember the infinite-acting oil reservoirs follow this equation through
draw-down:
Where:
aus
m=-162-6961
For the given pressure vs time table and data by using linear regression (NO EXCEL PLOTS) calculare the
permeability. initial pressure (Pi) and the
Time, hr
Pwf, psia
1900
1836
1814
1806
758
1680
q=500 STBD p-l.lep B-1.1 1-20 ft 0-0.2 n-0.25ff S-0
4) Archie's equation, which one of the most important equations in well logging, shows the
relationship between rock properties and water saturation (Sw)as follow:
Rw
S.
Where R. the (connate) water resistivity. R, the true resistivity of formation, "m³ the cemeniation factor,
"a" is the tortuosity factor and "w" isthe saturation exponent
Also. Archie' equation can be used ir water bearing formations (where fully saturated with water S.-100%)tc
estimate the formation water resistivity cementation factor which s known Picket plot method
Bv using linear regression and NO EXCEL PLOTS calculate the Cemerration Factor "m 'andthe tortuosity
factor "a" for the following giventable and data from water zone (S.-100%)
o, perosity ohm.m
0.04
0.08
0.066

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