The drilling exponent (d), the exponent corrected for [[mud]] density (dc), and the exponent corrected for mud density and [[bit]] wear (dcs) are used to detect undercompacted shaly formations and associated high-pressure zones.
(1) d = uncorrected drilling exponent
{{ :terms:p31f1.gif }}
when:\\
R = drilling rate (ft/hr)\\
K = rock drillability (~ 1 for shales)\\
N = rotary speed (rpm)\\
W = weight on bit (lb)\\
D = bit diameter (in.)
(2) dc = drilling exponent corrected for mud density
{{ :terms:p31f2.gif }}
where:\\
d1 = equivalent mud density of normal pore pressure gradient\\
d2 = equivalent mud density of actual pore pressure gradient
(3) dcs = drilling exponent corrected for nmud density and bit wear.
Same as "dc" except that instead of R (drilling rate at time t) the drilling rate Ro (corrected for bit wear) is used.