
MWD  and LWD 
1009 
The volume of hydrocarbons in place at reservoir  conditions  is 
Q, 
= 
7758 
9 
Q, 
ShC 
h 
where 
Q, 
= 
volume 
of 
hydrocarbons in bbl/acre 
CP 
= 
porosity  in fraction 
h 
= 
formation  thickness  in ft 
ShC 
= 
hydrocarbon saturation in fraction 
(4-2 12) 
Apparent  Water 
Reslstlvlty 
R,. 
Some  MWD/LWD  log sets  display a  curve 
labeled 
R,.  Rwa 
is computed using Equation 
4-210 
assuming that 
S, 
= 
1 
(100%). 
Consequently 
we 
have 
R 
t 
R, 
= 
R, 
= 
- 
F 
Since 
(4-213) 
(4-214) 
where F 
= 
formation factor 
a 
= 
constant depending on the formation,  generally 
1 
or 
0.81 
or 
0.62 
m 
= 
cementation  factor,  generally 
2 
or 
2.15 
Finally, 
Rt 
cpm 
R, 
= 
- 
a 
(4-2 15) 
The true porosity 
@ 
is  determined  with  the  neutron-density  Pe  logs. 
Rt 
is 
generally given by  the deep investigation  resistivity curve. 
Rwa 
equals 
R, 
in the 
water formations.  It increases  rapidly  in hydrocarbon  saturated  formations. 
Permeablllty. 
Permeable  zones can be  identified  with  the  resistivity measure- 
ments  made with  different  radius  of  investigation. 
A 
departure between  the 
curves of deep and shallow investigation is a qualitative indication of  permeability. 
The charts mentioned in the section titled “Measuring While Tripping: Wiper 
Logs” can be used to estimate quantitatively the permeability if  several measure- 
ments during tripping  are made with  resistivity devices that can give the inva- 
sion diameter. 
Surface  measurements  on the  mud  can  be used  to  estimate  the  mudcake 
characteristics. If the formation pressure is known, the differential pressure can 
be calculated,  and a chart similar to Figures 
4-293a 
and b can be plotted. 
The invasion diameters at various times should follow one of  the permeability 
curves. Note that the permeability effect is seen only for formations with 
1 
md 
or less  permeability.  Above 
1 
md,  the invasion  diameter  is  dependent  mostly 
on porosity. 
Log 
Samples. 
Figure 
4-300 
shows samples 
of 
gamma ray and spectral gamma 
ray logs. The boundaries of the clean (not shaly) zone can be seen very clearly: