Page 53 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2

Basic Principles, Definitions, and Data 41

Table 5-7
Correlations of Formatlon Resistivity Factor and Porosity
Source Relation Notes

Archie [42] F, = @* For consolidated sands, m= 1.8
to 2.5. For unconsolidated sands,
m = 1.3.
zq2
Wyllie and Rose [43] Tortuosity z = LJL
FR =T
1
Tixier [44] F -7 For limestone
,-@
22
Winsauer et al [45] F, = - Theory
@
z1.07
FR =T Experimental (transport time of
flowing ions)
F, = 0.62 $-'-"'' Sandstones containing varying
amounts of clay
WyllielGregory [46] F, = a$-" General form of Archie relation
Cornell and Katz [47] F, = L', F, directly proportional to length
and inversely proportional to area
Owen [48] F, = 0.68 $4a Logs in dolomite, mud filtrate
same resistivity as connate water
Hill and Milburn [49] F, = 1.4@-1.78 Results of 450 sandstone and
limestone cores with R, of
0.01 ohm-m
FFI = 4+s When a = 1
1
Wyllie/Gardner [50] FR =F Model of capillary bundle, for
conducting wetting phase
Sweeney/Jennings [51] F, = $-" 25 various carbonates
m = 1.57 Water-wet
m = 1.92 Intermediate wettability
m = 2.01 Oil-wet
Carothers [52] F, = 1.45 Sandstones
F, = 0.85 Limestones
Porter/Carothers [53] F, = 2.45 $-l.08 From California logs
F, = 1.97 $-1,z9 From Gulf Coast logs. All
sandstones, S,= 100%
Timur [54] F, = 1.13 $"." Analysis of over 1,800 sandstone
samples
Perez-Rosales [55] F, = 1 + G(p - 1) General theoretical relation
F, = 1 + 1.03($-1.75 - 1) Theoretical relation for sandstones