d-Exponent Calculator

Enter value and click on calculate. Result will be displayed.

R = Penetration Rate      N = Rotary Speed
W = Weight on Bit      D = Drill Bit Diameter
ρn = Mud Weight Equivalent      ρm = Mud Weight Used
C = Shale Compactibility Coefficient

Penetration Rate:
Ft / Hr
Rotary Speed:
Rev / Minute
Weight on Bit:
1000 Lb
Drill Bit Diameter:
Inches
Mud Weight Equivalent:
Lb / Gal
Mud Weight Used:
Lb / Gal
Shale Compactibility Coefficient:
d-Exponent:

The d-exponent is a term used in seismology and other scientific disciplines to describe the power-law relationship between two variables, commonly in the context of earthquakes or other natural phenomena. It's calculated using the formula:

Where:

  • is the d-exponent.
  • E1 and E2 are the energy levels (or other relevant values) at two different distances.
  • R1 and R2 are the two distances corresponding to those energy levels.