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Hydromechanical Specific Energy Formula

HMSE=WOBAb+120(3.142)NT+1154ηPbQAbROPHMSE=\frac{WOB}{A_b}+\frac{120(3.142)NT+1154\eta P_bQ}{A_bROP}

Hydromechanical Specific Energy calculates hydromechanical specific energy for drilling operations and economics workflows in drilling engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (WOB, A_b, N, T, eta, P_b, Q, ROP) are known and the assumptions behind the cited drilling operations and economics relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, HMSE equals 41,072,824.156306 lbf/ft^2.

WOBlbf

30000

A_bft^2

0.3941

Nrev/min

120

Tft*lbf

5000

etadimensionless

0.7

P_bpsi

1200

Qgpm

600

ROPft/h

50

Inputs

WOB

lbf

Weight on bit

A_b

ft^2

Bit area

N

rev/min

Rotary speed

T

ft*lbf

Rotary torque

eta

dimensionless

Hydraulic energy reduction factor

P_b

psi

Bit pressure drop

Q

gpm

Flow rate

ROP

ft/h

Rate of penetration

Outputs

HMSE

lbf/ft^2

Hydromechanical specific energy

WOB

lbf

Weight on bit

A_b

ft^2

Bit area

eta

dimensionless

Hydraulic energy reduction factor

ROP

ft/h

Rate of penetration

Source and review

reviewed

501 Solved Problems and Calculations for Drilling Operations, Robello, S.E. (2015)

Samuel, E. Robello. 501 Solved Problems and Calculations for Drilling Operations, Sigma Quadrant, Houston, Texas, 2015, Page 415.

source conflict
Source

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