**Lag time** is traveling time interval required for pumping cuttings from each particular depth to surface. It can be expressed in terms of time (minutes) and pump strokes.

The lag time always changes when a well becomes deeper and/or pumping speed change. Two factors, affecting lag time calculation, are annulus volume of drilling fluid in and drilling mud flow rate.

With certain annular volume, the lag time, normally expressed in minutes, can be determined by dividing the annular volume (bbls) by the flow rate (bbl/min).

If there are changes in mud flow rate, the lag time figure will be changed as well. In order compensate for any changes, the lag time is transformed into pump strokes too; therefore, a change in speed of pump will not affect the lag time.

**How to Calculate Theoretical Lag Time**

There are 3 steps to do in order to calculate lag time as listed below;

**1. Calculate pump output
2. Calculate annula**r volume at certain depth of hole

3. Calculate the theoretical lag time

**Oilfield Unit**

**Example – Determine lag time from bottom to surface with the following information;**

Bit depth = 9500’ MD

Pump rate = 300 GPM

Annular volume at 9500’ MD = 250 bbl

Triplex pump output = 0.102 bbl/stroke

Solution;

Pump rate = 300 GPM ÷ 42 = 7.14 bbl / minute

Lag time in minutes = 250 bbl ÷ 7.14 bbl / minute = 35 minutes

Lag time in strokes = 250 bbl ÷ 0.102 bbl/stroke = 2451 strokes

**Metric Unit**

Bit depth = 3,300 m

Pump rate = 1,200 liter/min

Annular volume at 3,300 m = 40 m^{3}

Triplex pump output = 0.01622 m^{3}/stroke

Solution;

Lag time in minutes = 40 m^{3 }÷ (1,200 ÷ 1,000 m^{3}/ min) = 33.3 minutes

Lag time in strokes = 40 m^{3 }÷ 0.01622 m^{3}/stroke = 2466 strokes

**Download Lag Time Calculation Spreadsheet**

**Ref books: **

Lapeyrouse, N.J., 2002. Formulas and calculations for drilling, production and workover, Boston: Gulf Professional publishing.

Bourgoyne, A.J.T., Chenevert , M.E. & Millheim, K.K., 1986. SPE Textbook Series, Volume 2: Applied Drilling Engineering, Society of Petroleum Engineers.

Mitchell, R.F., Miska, S. & Aadny, B.S., 2011. Fundamentals of drilling engineering, Richardson, TX: Society of Petroleum Engineers.

Why you didn’t use rheology of the mud?

Because only pumping volume and stroke per mins used for calculation. Rheology will be used for other calculations as pressure loss.

Can I Have The resource book please ?

where does 42 come from in the calculation?

42 is a conversion unit to convert Gallon to bbl.

42 gallon = 1 bbl.